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Wyniki wyszukiwania dla: EDGE

  • Scanning networks with cactus topology

    Publikacja
    • Ł. Wrona

    - Rok 2008

    The family of Pursuit and Evasion problems is widelystudied because of its numerous practical applications,ranging from communication protocols to cybernetic andphysical security. Calculating the search number of a graphis one of most commonly analyzed members of this problemfamily. The search number is the smallest number of mobileagents required to capture an invisible and arbitrarily fastfugitive, for instance piece of malicious...

  • On-line Ramsey Numbers of Paths and Cycles

    Publikacja

    - ELECTRONIC JOURNAL OF COMBINATORICS - Rok 2015

    Consider a game played on the edge set of the infinite clique by two players, Builder and Painter. In each round, Builder chooses an edge and Painter colours it red or blue. Builder wins by creating either a red copy of $G$ or a blue copy of $H$ for some fixed graphs $G$ and $H$. The minimum number of rounds within which Builder can win, assuming both players play perfectly, is the \emph{on-line Ramsey number} $\tilde{r}(G,H)$. In...

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  • SAWING PROCESS AS A NEW ALTERNATIVE WAY OF DETERMINING SOME WOOD PROPERTIES

    Publikacja

    - Rok 2015

    Cutting forces (power) could be considered from a point of view of modern fracture mechanics. The developed cutting model, derived from fracture mechanics, includes work of separation (fracture toughness) in addition to plasticity and friction, and also dullness of the cutting edge described by the cutting edge radius. Moreover, forecasting of the shear plane angle for the cutting models, broaden possibilities of energetic effects...

  • Experimental tests of lintel hybrid beams

    The results of experimental tests of lintel hybrid beams made of air concrete and prestressed concrete were presented in paper. Blocks of air concrete was a protective element for the construction one. The length of hybrid beams was 3.0 m, while total height 27 cm. It was assumed that hybrid beams will work in the simply-supported scheme (with a 10 cm support) loaded uniformly over the entire length. The object of the tests were...

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  • On some open questions for Ramsey and Folkman numbers

    Publikacja
    • S. Radziszowski
    • X. Xiaodong

    - Rok 2016

    We discuss some of our favorite open questions about Ramsey numbers and a related problem on edge Folkman numbers. For the classical two-color Ramsey numbers, we first focus on constructive bounds for the difference between consecutive Ramsey numbers. We present the history of progress on the Ramsey number R(5,5) and discuss the conjecture that it is equal to 43.

  • Pressure Pulsations in Turbine Blade Seal

    The paper presents the results of experimental investigations into pressure forces generated in a turbine labyrinth seal. The experiments were performed on a single-stage air model turbine of the impulse type. The performed experimental research proved that in a shroud clearance the pressure pulsates and the effects of the nozzle trailing edge thickness as well as the influence of the rotor blades are observed. The exemplary results...

  • AN ALTERNATIVE WAY OF DETERMINING MECHANICAL PROPERTIES OF WOOD BY MEASURING CUTTING FORCES

    Publikacja

    - Wiadomości Konserwatorskie - Rok 2015

    The cutting force is an energetic effect of splitting material, and might be therefore considered from a point of view of modern fracture mechanics. The dedicated mathematical model developed for description of the wood cutting has been developed here on the base of fracture theory, and includes work of separation (fracture toughness) in addition to the material plasticity and friction. The effect of the cutting edge dullness is...

  • The Backbone Coloring Problem for Bipartite Backbones

    Let G be a simple graph, H be its spanning subgraph and λ≥2 be an integer. By a λ -backbone coloring of G with backbone H we mean any function c that assigns positive integers to vertices of G in such a way that |c(u)−c(v)|≥1 for each edge uv∈E(G) and |c(u)−c(v)|≥λ for each edge uv∈E(H) . The λ -backbone chromatic number BBCλ(G,H) is the smallest integer k such that there exists a λ -backbone coloring c of G with backbone H satisfying...

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  • Mechanism of Li nucleation at graphite anodes and mitigation strategies

    Publikacja
    • C. Peng
    • A. Bhandari
    • J. Dziedzic
    • J. R. Owen
    • C. Skylaris
    • D. Kramer

    - Journal of Materials Chemistry A - Rok 2021

    Lithium metal plating is a critical safety issue in Li-ion cells with graphite anodes, and contributes significantly to ageing, drastically limiting the lifetime and inducing capacity loss. Nonetheless, the nucleation mechanism of metallic Li on graphite anodes is still poorly understood. But in-depth understanding is needed to rationally design mitigation measures. In this work, we conducted FirstPrinciples studies to elucidate...

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  • Speaker Recognition Using Convolutional Neural Network with Minimal Training Data for Smart Home Solutions

    Publikacja

    - Rok 2018

    With the technology advancements in smart home sector, voice control and automation are key components that can make a real difference in people's lives. The voice recognition technology market continues to involve rapidly as almost all smart home devices are providing speaker recognition capability today. However, most of them provide cloud-based solutions or use very deep Neural Networks for speaker recognition task, which are...

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  • No-Wait & No-Idle Open Shop Minimum Makespan Scheduling with Bioperational Jobs

    In the open shop scheduling with bioperational jobs each job consists of two unit operations with a delay between the end of the first operation and the beginning of the second one. No-wait requirement enforces that the delay between operations is equal to 0. No-idle means that there is no idle time on any machine. We model this problem by the interval incidentor (1, 1)-coloring (IIR(1, 1)-coloring) of a graph with the minimum...

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  • Permeability of Waterfronts—Contemporary Approach in Designing Urban Blue Spaces

    Publikacja

    - Sustainability - Rok 2022

    The constant struggle with rising sea levels and flood hazards has resulted in the change of the paradigm in shaping urban waterfronts towards increasing their permeability and creation of urban blue spaces. The aim of the paper was to indicate a new approach in designing public spaces at the sea–land interface by presenting a comparative study of the design solutions used in case of the four selected case studies: the Sea Organs...

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  • On the connected and weakly convex domination numbers

    In this paper we study relations between connected and weakly convex domination numbers. We show that in general the difference between these numbers can be arbitrarily large and we focus on the graphs for which a weakly convex domination number equals a connected domination number. We also study the influence of the edge removing on the weakly convex domination number, in particular we show that a weakly convex domination number...

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  • Independence in uniform linear triangle-free hypergraphs

    Publikacja

    - DISCRETE MATHEMATICS - Rok 2016

    The independence number a(H) of a hypergraph H is the maximum cardinality of a set of vertices of H that does not contain an edge of H. Generalizing Shearer’s classical lower bound on the independence number of triangle-free graphs Shearer (1991), and considerably improving recent results of Li and Zang (2006) and Chishti et al. (2014), we show a new lower bound for a(H) for an r-uniform linear triangle-free hypergraph H with r>=2.

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  • Wpływ drążenia pionowego w silikatowych elementach murowych na nośność kotew wklejanych

    Publikacja

    The article is showing results of measurements of the effectiveness of the assembly anchor of inmates glued in in sunk vertically lime-sandy blocks. Examinations were performed for cases of the assembly anchor in different fragments of blocks: in part fullwall, in an axis of symmetry and on the edge of the aperture vertical. An influence of the location of places of settling was examined anchor to the way of the forming of uniting...

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  • A Framework for Searching in Graphs in the Presence of Errors

    Publikacja

    - Rok 2019

    We consider a problem of searching for an unknown target vertex t in a (possibly edge-weighted) graph. Each vertex-query points to a vertex v and the response either admits that v is the target or provides any neighbor s of v that lies on a shortest path from v to t. This model has been introduced for trees by Onak and Parys [FOCS 2006] and for general graphs by Emamjomeh-Zadeh et al. [STOC 2016]. In the latter, the authors provide...

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  • Mutual Coupling Reduction in Antenna Arrays Using Artificial Intelligence Approach and Inverse Neural Network Surrogates

    Publikacja

    - SENSORS - Rok 2023

    This paper presents a novel approach to reduce undesirable coupling in antenna arrays using custom-designed resonators and inverse surrogate modeling. To illustrate the concept, two stand-ard patch antenna cells with 0.07λ edge-to-edge distance are designed and fabricated to operate at 2.45 GHz. A stepped-impedance resonator is applied between the antennas to suppress their mutual coupling. For the first time, the optimum values...

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  • Deformation of an elastic second gradient spherical body under equatorial line density of dead forces

    Publikacja
    • I. dell'Isola
    • V. Eremeev
    • V. Korolenko
    • Y. Solyaev

    - EUROPEAN JOURNAL OF MECHANICS A-SOLIDS - Rok 2023

    We consider deformations of an elastic body having initially a spherical shape. Assumed deformation energy depends on the first and second gradient of displacements. We apply an equatorial line density of dead loads, that are forces per unit line length directed in radial direction and applied along the equator of the sphere. We restrict ourselves our analysis to the case of linearized second strain gradient isotropic elasticity...

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  • Endohedral gallide cluster superconductors and superconductivity in ReGa5

    Publikacja
    • W. Xie
    • H. Luo
    • B. Phelan
    • T. Klimczuk
    • F. Cevallos
    • R. J. Cava

    - PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA - Rok 2015

    We present transition metal-embedded (T@Gan) endohedral Ga clusters as a favorable structural motif for superconductivity and develop empirical, molecule-based, electron counting rules that govern the hierarchical architectures that the clusters assume in binary phases. Among the binary T@Gan endohedral cluster systems, Mo8Ga41, Mo6Ga31, Rh2Ga9, and Ir2 Ga9 are all previously known superconductors. The well-known exotic superconductor...

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  • Sundials of St Mary’s Church in Gdańsk / Zegary słoneczne kościoła pw. Wniebowzięcia Najświętszej Panny Marii w Gdańsku

    Publikacja

    The paper presents contemporary research evidence of form, function and history of the sundials of St Mary’s Church in Gdańsk. The discussed sundials are located on the southern wall of the church transept. The sundial, which is believed to be made by Lorenzo Zachau in 1533, is placed on the west side of the western window, at the edge of the wall. The face of this sundial is separated by a horizontal line into two parts. The upper...

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  • Distribution of roughness and waviness components of turned surface profiles

    The paper presents a spectral formulation of surface profile irregularity in a wideband frequency range for roughness, waviness and shape components along the measured length. A unique distribution of roughness and waviness components is proposed, according to the nature of their origination in the course of machining with tools of defined cutting edge, as distinct from standard filtration in measurements of surface irregularities....

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  • Pressure pulsations in turbine blade seal clearance

    The paper presents the results of numerical and experimental investigations into pressure forces generated in a turbine labyrinth seal. The experiments were performed on a single-stage air model turbine of the impulse type, while the numerical results were obtained by means of CFD Fluent Code. The performed experimental research and numerical calculations prove that in a shroud clearance the pressure pulsates and the effects of...

  • Representing and Managing Experiential Knowledge with Decisional DNA and its Drimos® Extension

    Publikacja

    - Rok 2022

    The Semantic Web concept is proposing a future concept of the WorldWideWeb (WWW) where both humans and man-made systems are able to interconnect and exchange knowledge. One of the challenges of Semantic Web is smart and trusted accommodation of knowledge in artificial systems so it can be unified, enhanced, reused, shared, communicated and distributed with added aptitude. Our research represents an important component of addressing...

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  • Graph Decomposition for Memoryless Periodic Exploration

    Publikacja

    - ALGORITHMICA - Rok 2012

    We consider a general framework in which a memoryless robot periodically explores all the nodes of a connected anonymous graph by following local information available at each vertex. For each vertex v, the endpoints of all edges adjacent to v are assigned unique labels within the range 1 to deg (v) (the degree of v). The generic exploration strategy is implemented using a right-hand-rule transition function: after entering vertex...

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  • Photoelectron spectroscopy of brominated derivative of pyrimidine: 2-bromopyrimidine

    Publikacja

    - The European Physical Journal-Special Topics - Rok 2013

    In this study the brominated derivative of pyrimidine, 2-bromopyrimidine, was investigated by photoelectron spectroscopy. Outer valence photoelectron spectra recorded at 21.22, 45 and 100 eV photon energy for this compound are presented. The recorded spectra have a higher resolution than that previously reported in the literature. The bromine 3d and 3p edge photoelectron spectra have also been recorded in a photon impact experiment...

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  • Local atomic order in low Pt-content nanocatalysts investigated in situ by XAS

    Publikacja

    - Rok 2009

    The unique features of X-ray absorption spectroscopy allow investigations of nanosized catalysts for fuel cells under working conditions. We present the results of an experiment carried out on a low Pt content electrocatalyst supported by a mesoporous heteropolyacid salt and used at the cathode of a proton exchange membrane fuel cell (PEMFC). The analysis of the EXAFS signal at the Pt L3-edge indicates that upon operating the fuel...

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  • Thermal Image Processing for Respiratory Estimation from Cubical Data with Expandable Depth

    Publikacja

    - Journal of Imaging - Rok 2023

    As healthcare costs continue to rise, finding affordable and non-invasive ways to monitor vital signs is increasingly important. One of the key metrics for assessing overall health and identifying potential issues early on is respiratory rate (RR). Most of the existing methods require multiple steps that consist of image and signal processing. This might be difficult to deploy on edge devices that often do not have specialized...

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  • Rearrangeability in multicast Clos networks is NP-complete

    Publikacja

    Przestrajalność w polach Closa z połączeniami jeden do jeden jest problemem wielomianowym. W pracy pokazano, że w polach z połączeniami jeden do wiele problem ten jest NP zupełny.Three-stage elos networks are commutation networks with circuit switching. So far, graph theory has been very useful tool for solving issues related to these networks with unicast connections. This is so because if elos network is represented as a bipartite...

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  • Hybrid P3HT: PCBM/GaN nanowire/Si cascade heterojunction for photovoltaic application

    Publikacja

    - JOURNAL OF NANOPARTICLE RESEARCH - Rok 2020

    Poly(3-hexylthiophene) (P3HT) and phenyl-C61-butyric acid methyl ester (PCBM) are commonly used for the fabrication of organic photovoltaics (OPV). Efficiency limitations of OPVs could be circumvented by incorporation of inorganic nanostructures into organic blends. Again, integration of organic solar cells with well-developed silicon photovoltaic technology is ultimately desirable. In present work, GaN nanowires with diameters...

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  • Moduł platformy SyMEC odpowiedzialny za współpracę serwera MEC z sieciami komórkowymi i bezprzewodowymi sieciami dostępowymi WLAN

    Zaprezentowano moduł współpracy z sieciami dostępowymi, będący istotnym elementem serwera MEC (Multi-access Edge Computing), budowanego w ramach projektu SyMEC i umożliwiającego uruchamianie elementów aplikacyjnych na brzegu sieci. Przedstawiono różnice w wymaganiach dotyczących sposobu realizacji tego komponentu w przypadku sieci dostępowych standaryzowanych przez 3GPP oraz sieci WLAN. Zaproponowana została architektura umożliwiająca...

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  • Degradation of a nano-cutting tool: an MD simulation

    Publikacja

    W pracy przedstawiono wyniki symulacji wielokrotnego oddziaływania realistycznie ukształtowanego ostrza tnącego z modelowym, nieskończenie twardym ziarnem, przy zastosowaniu metody dynamiki molekularnej. Ostrze składało się z kilkuset tysięcy atomów metalu fcc, traktowanego za pomocą potencjału Suttona-Chena, przesuwane było ze stałą prędkością 20 m/s. Obserwowane deformacje plastyczne pojawiające się na skutek kontaktu ostrza...

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  • Linear game non-contextuality and Bell inequalities—a graph-theoretic approach

    Publikacja

    - NEW JOURNAL OF PHYSICS - Rok 2016

    We study the classical and quantum values of a class of one-and two-party unique games, that generalizes the well-known XOR games to the case of non-binary outcomes. In the bipartite case the generalized XOR(XOR-d) games we study are a subclass of the well-known linear games. We introduce a 'constraint graph' associated to such a game, with the constraints defining the game represented by an edge-coloring of the graph. We use the...

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  • Implementation of spatial/polarization diversity for improved-performance circularly polarized multiple-input-multiple-output ultra-wideband antenna

    Publikacja

    - IEEE Access - Rok 2020

    In this paper, spatial and polarization diversities are simultaneously implemented in an ultra-wideband (UWB) multiple-input-multiple-output (MIMO) antenna to reduce the correlation between the parallel-placed radiators. The keystone of the antenna is systematically modified coplanar ground planes that enable excitation of circular polarization (CP). To realize one sense of circular polarization as well as ultra-wideband operation,...

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  • A New Adaptive Method for the Extraction of Steel Design Structures from an Integrated Point Cloud

    Publikacja

    - SENSORS - Rok 2021

    The continuous and intensive development of measurement technologies for reality modelling with appropriate data processing algorithms is currently being observed. The most popular methods include remote sensing techniques based on reflected-light digital cameras, and on active methods in which the device emits a beam. This research paper presents the process of data integration from terrestrial laser scanning (TLS) and image data...

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  • Characterization of the c-BN/TiC, Ti3SiC2 systems by element selectivespectroscopy.

    Publikacja
    • E. Piskorska
    • K. Ławniczak-Jabłońska
    • I. Demchenko
    • R. Minikayev
    • E. Benko
    • P. Klimczyk
    • A. Witkowska
    • E. Welter
    • M. Heinonen

    - Rok 2004

    Pomimo dużego technologicznego zainteresowania tytanowymi kompozytami bazującymi na c-BN daje się zauważyć wyraźny brak danych dotyczących lokalnego otoczenia atomów Ti w tego typu materiałach. Główna przyczyna tego stanu rzeczy tkwi w trudności związanej z analizą układu wielofazowego o dużej twardości za pomocą konwencjonalnych metod. Praca poświęcona jest analizie składu i struktury tytanowych kompozytów za pomocą atomowo-selektywnych...

  • TOTAL DOMINATION MULTISUBDIVISION NUMBER OF A GRAPH

    Publikacja

    - Discussiones Mathematicae Graph Theory - Rok 2015

    The domination multisubdivision number of a nonempty graph G was defined in [3] as the minimum positive integer k such that there exists an edge which must be subdivided k times to increase the domination number of G. Similarly we define the total domination multisubdivision number msd_t (G) of a graph G and we show that for any connected graph G of order at least two, msd_t (G) ≤ 3. We show that for trees the total domination...

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  • A bound on the number of middle-stage crossbars in f-cast rearrangeable Clos networks

    Publikacja

    - Rok 2015

    In 2006 Chen and Hwang gave a necessary and sufficient condition under which a three-stage Clos network is rearrangeable for broadcast connections. Assuming that only crossbars of the first stage have no fan-out property, we give similar conditions for f-cast Clos networks, where f is an arbitrary but fixed invariant of the network. Such assumptions are valid for some practical switching systems, e.g. high-speed crossconnects....

  • Balance Between Creativity and Methodology in Software Projects

    Publikacja

    - Rok 2015

    Taking into account trends of innovation in economy and increasing interest in applying creativity techniques in computer science, this paper focuses on relationship between creativity and methodology in software project. First, it extracts useful knowledge about creativity from creativity research. Then, it makes an attempt to combine creativity issues and dimensions with concepts from software project area. It presents also lessons...

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  • Artificial Neural Network based fatigue life assessment of riveted joints in AA2024 aluminum alloy plates and optimization of riveted joints parameters

    Publikacja
    • R. Masoudi Nejad
    • N. Sina
    • W. Ma
    • W. Song
    • S. Zhu
    • R. Branco
    • W. Macek
    • A. Gholami

    - INTERNATIONAL JOURNAL OF FATIGUE - Rok 2024

    The objective of this paper is to provide the fatigue life of riveted joints in AA2024 aluminum alloy plates and optimization of riveted joints parameters. At first, the fatigue life of the riveted joints in AA2024 aluminum alloy plates is obtained by experimental tests. Then, an artificial neural network is applied to estimate the fatigue life of riveted lap joints based on the number of lateral and longitudinal holes, punch pressure,...

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  • Analysis of the Suitability of Selected Data Tranmission Systems in RSMAD

    This paper analyses the suitability of the selected radio communication systems currently used for data transmission, or usable in the future, in Radio System for Monitoring and Acquisition of Data from Traffic Enforcement Cameras (in short RSMAD). The paper also presents the advantages and disadvantages of each systems, paying particular attention to features that directly affect the suitability of the solution in the RSMAD system....

  • Fe local structure in Pt-free nitrogen-modified carbon based electrocatalysts: XAFS study

    Publikacja

    - Journal of Physics : Conference Series - Rok 2016

    The paper presents a new results on the bonding environment (coordination number and geometry) and on oxidation states of Fe in nitrogen-modified Fe/C composites used as Pt-free catalysts for oxygen reduction in Direct Hydrogen Fuel Cells. Starting from glucose or fructose, two catalysts displaying different electrochemical performance were prepared and studied in the form of pristine powder and thin catalytic layer of electrode...

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  • Spatially variant PSF modeling in confocal macroscopy

    Publikacja

    - Rok 2018

    The point spread function (PSF) of imaging systems plays an essential role in image reconstruction. In the context of confocal microscopy, optical performance degrades towards the edge of the field of view. In confocal macroscopy, the related artifacts are even stronger, as the field of view is much larger. Because the related PSFs are strongly spatially variant, it is essential to be able to model them with few parameters. The...

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  • A framework for automatic detection of abandoned luggage in airport terminal

    Publikacja

    A framework for automatic detection of events in a video stream transmitted from a monitoring system is presented. The framework is based on the widely used background subtraction and object tracking algorithms. The authors elaborated an algorithm for detection of left and removed objects based on mor-phological processing and edge detection. The event detection algorithm collects and analyzes data of all the moving objects in...

  • Weakly convex domination subdivision number of a graph

    Publikacja

    - FILOMAT - Rok 2016

    A set X is weakly convex in G if for any two vertices a; b \in X there exists an ab–geodesic such that all of its vertices belong to X. A set X \subset V is a weakly convex dominating set if X is weakly convex and dominating. The weakly convex domination number \gamma_wcon(G) of a graph G equals the minimum cardinality of a weakly convex dominating set in G. The weakly convex domination subdivision number sd_wcon (G) is the minimum...

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  • An assessment of teeth quality of the mini gang saw blade

    Publikacja

    - Annals of WULS, Forestry and Wood Technology - Rok 2016

    In this work, the assessment of the effect of the operating time (90 min.) of the mini gang saw blades during sawing Scotch pine (Pinus sylvestris L.) samples upon changes of the saw blade teeth sharpness (bluntness), which was defined as an effective radius of the nose ρ , has been described. The research activities have been carried out on the Nikon Ti-S optical microscope equipped with the Nikon DS-30W camera allowing high-speed...

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  • Rozpoznawanie oraz lokalizacja w obrazie przewodów linii wysokiego napięcia

    W pracy przedstawiono opracowany algorytm rozpoznawania oraz lokalizacji przewodów linii wysokiego napięcia na podstawie obrazu horyzontalnego. Procedura detekcji przewodu została podzielona na trzy etapy. Pierwszy etap zawiera algorytm wykrywania krawędzi wykazujący największą czułość na krawędzie poziome, a jednocześnie brak czułości na krawędzie pionowe. Efektem jest znaczna redukcja liczby wykrytych krawędzi w porównaniu do...

  • Practical Approach to IP Scheduled Throughput Measurements in Dual Connectivity Systems

    IP scheduled throughput defined according to 3GPP TS 36.314 reflects user throughput regardless of traffic characteristics, and therefore has become one of the most important indicators for monitoring Quality of Service (QoS) of the end user in Evolved Universal Terrestrial Radio Access Network (E-UTRAN). However, networks built on a distributed architecture make the above definition impossible to be applied directly due to the...

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  • Towards the boundary between easy and hard control problems in multicast Clos networks

    In this article we study 3-stage Clos networks with multicast calls in general and 2-cast calls, in particular. We investigate various sizes of input and output switches and discuss some routing problems involved in blocking states. To express our results in a formal way we introduce a model of hypergraph edge-coloring. A new class of bipartite hypergraphs corresponding to Clos networks is studied. We identify some polynomially...

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  • NUMERICAL SIMULATIONS OF GAP FLOW ABOVE ROTATING DISK

    Publikacja

    - TASK Quarterly - Rok 2015

    A rotating disk can be considered a basic configuration for the investigati ons of the impact of various conditions on the flow through the clearance between the s hrouded turbine blade and the casing. Numerical calculations using Fine/Turbo Numeca were conducted to examine the influence of the rotational velocity and the pressure differ ence across the disk on the flow conditions, especially the mass flow through the clearance....

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  • Pr-doped TiO2: The effect of metal content on photocatalytic activity

    The Pr-TiO2 nanoparticles were prepared by using the sol-gel method. As-prepared samples were characterized by BET measurements, X-ray powder diffraction analysis (XRD) and UV-Vis spectra. Visible and ultraviolet light photocatalytic activity of the sample was studied by photodegradation of phenol while considering the influence of the dopant concentration. TiO2 doped with 0.25 mol% of praseodymium showed the highest photocatalytic...

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