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Edge-coloring of 3-uniform hypergraphs
PublicationWe consider edge-colorings of 3-uniform hypergraphs which is a natural generalization of the problem of edge-colorings of graphs. Various classes of hypergraphs are discussed and we make some initial steps to establish the border between polynomial and NP-complete cases. Unfortunately, the problem appears to be computationally difficult even for relatively simple classes of hypergraphs.
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Equitable coloring of corona products of graphs
PublicationIn this paper we consider an equitable coloring of some corona products of graphs G and H in symbols, G o H). In particular, we show that deciding the colorability of G o H is NP-complete even if G is 4-regular and H is K_2. Next, we prove exact values or upper bounds on the equitable chromatic number of G o H, where G is an equitably 3- or 4-colorable graph and H is an r-partite graph, a path, a cycle or a complete graph.
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The Backbone Coloring Problem for Bipartite Backbones
PublicationLet 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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Interval incidence coloring of bipartite graphs
PublicationIn this paper we study the problem of interval incidence coloring of bipartite graphs. We show the upper bound for interval incidence coloring number (χii) for bipartite graphs χii≤2Δ, and we prove that χii=2Δ holds for regular bipartite graphs. We solve this problem for subcubic bipartite graphs, i.e. we fully characterize the subcubic graphs that admit 4, 5 or 6 coloring, and we construct a linear time exact algorithm for subcubic...
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The new concept of product. Cooling band
PublicationThe chapter below presents the innovative solution consist in applying the cooling band to help holding the hot object. The solution was found through substitute inputs analysis and brain storm method. The new product was submitted in Polish Patent Office under the No. W.120905.
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Interval incidence coloring of subcubic graphs
PublicationIn this paper we study the problem of interval incidence coloring of subcubic graphs. In [14] the authors proved that the interval incidence 4-coloring problem is polynomially solvable and the interval incidence 5-coloring problem is N P-complete, and they asked if χii(G) ≤ 2∆(G) holds for an arbitrary graph G. In this paper, we prove that an interval incidence 6-coloring always exists for any subcubic graph G with ∆(G) = 3.
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Equitable coloring of corona multiproducts of graphs
PublicationWe give some results regarding the equitable chromatic number for l-corona product of two graphs: G and H, where G is an equitably 3- or 4-colorable graph and H is an r-partite graph, a cycle or a complete graph. Our proofs lead to polynomial algorithms for equitable coloring of such graph products provided that there is given an equitable coloring of G.
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The Backbone Coloring Problem for Small Graphs
PublicationIn this paper we investigate the values of the backbone chromatic number, derived from a mathematical model for the problem of minimization of bandwidth in radio networks, for small connected graphs and connected backbones (up to 7 vertices). We study the relationship of this parameter with the structure of the graph and compare the results with the solutions obtained using the classical graph coloring algorithms (LF, IS), modified...
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Direct cloning of heavy metal resistance genes from metagenomic DNA
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Design of novel highly sensitive sensors for crack detection in metal surfaces: theoretical foundation and experimental validation
PublicationThe application of different types of microwave resonators for sensing cracks in metallic structures has been subject of many studies. While most studies have been focused on improving the sensitivity of planar crack sensors, the theoretical foundation of the topic has not been treated in much detail. The major objective of this study is to perform an exhaustive study of the principles and theoretical foundations for crack sensing...
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Instrumented end notched flexure - Crack propagation and process zonemonitoring Part II: Data reduction and experimental
PublicationA mode II instrumented end notched flexure three point bending (ENF) adhesion test is described. The adhesive joint consists of two aluminium alloy (AW7075-T6) plates bonded with a structural epoxy adhesive (Hysol EA 9395™). Strain gauges are attached to the outer surface (backface) of the substrates in the lengthwise direction to measure local surface strain during crack propagation. Simultaneously, load/displacement measurements...
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The effect of multiaxial geocomposite reinforcement on fatigue performance and crack propagation delay in double-layered asphalt beams
PublicationThe presented study investigates the effect of a recently developed multiaxial geocomposite made of polypropylene geogrid and non-woven fabric on the delay of crack propagation, based on four-point bending tests of large asphalt concrete beams – both for reinforced and non-reinforced specimens. Several approaches are described in this study, including analysis of stiffness modulus decrease and analysis of crack propagation using...
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Damage of a post-tensioned concrete bridge – Unwanted cracks of the girders
PublicationThe cracking of a post-tensioned T-beam superstructure, which was built using the incremental launching method, is analyzed in the paper. The problem is studied in detail, as specific damage was observed in the form of longitudinal cracks, especially in the mid-height zone of the girder at the interface of two assembly sections. The paper is a case study. A detailed inspection is done and non-destructive testing results of the...
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Converting beach wrack into a resource as a challenge for the Baltic Sea (an overview)
PublicationThe paper distinguishes beach wrack, the marine generated organic part of beach cast, as a separate management object and discusses research questions related to its management and economically viable use. Based on experiences from the Baltic Sea and existing practices from countries with different management systems clear distinction between the management of natural and anthropogenic components of cast material is seen as an...
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A Visual Method of Measuring Railway-Track Weed Infestation Level
PublicationThis paper concerns the assessment of railway track surface conditions in relation to the degree of weed infestation. The paper conceptually describes the proposed method using a visual system to analyse weed infestation level. The use of image analysis software for weed detection is also proposed. This new measurement method allows for a mobile assessment of the track’s weed infestation status. Validation of the assessment method...
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Capacity analysis of the selected track system in partially ordered space
PublicationA proper location of the interval sections has significant impact on the traffic flow in the railway track network. This issue is critical during line modernization as well as when a new solution accounting for the traffic forecast at particular element of the railway track network is developed . However, the situation is more complex and more expensive for railway stations since improvement of the capacity requires critical organizational...
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The influence of sound track on the viewer’s emotions and correction of the color in the film
PublicationThe article presents the aspects of the final selection of colors in film production based on the emotions caused by the soundtrack of the film. First, the processing of colors, contrast, saturation and white balance of shots in the film was presented. The definition of color grading is also described, i.e. the color changes in the film's views. In the second part of the article, the soundtracks of the film were analyzed, in particular...
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Application of the Polish Active Geodetic Network for railway track determination
PublicationJednym z głównych problemów wyznaczania przebiegu trasy kolejowej jest konieczność realizacji pomiarów geodezyjnych w lokalnym układzie współrzędnych, który znacząco wpływa na dokładność wyznaczeń pozycji w przypadku pomiarów realizowanych na długich (kilku dziesięcio kilometrowych) odcinkach trasy. Z tego względu pomiary realizuje się sekcyjnie, co skutkuje istotnymi z punktu widzenia dokładności dodatkowymi błędami. W roku 2004...
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Optimum shape of turnout diverging track with segments of variable curvature
PublicationIn the paper an attempt has been made to focus on shaping the variable curvature in the diverging track of the railway turnout. Basing on some earlier studies, solutions provided with a circular arc in the mid-zone, and in the extreme regions with segments of non-linear curvature of equal length and zero curvature at the start and end of the turnout, have been assumed as models. The most advantageous type of curvature has been...
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Reprezentation of mechanic hysteresis in a railway track using the Preisach model
PublicationThis paper presents an implementation of the classic scalar Preisach model to describe the hysteresis phenomenon created in a railway track subjected to lateral (in the horizontal plane) displacements. The principles of the Preisach theory and the scalar mathematical model of the mechanical hysteresis that is based on statistically distributed modified hysteresis operators are briefly presented. This article presents the characteristic...
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Computer-aided reconstruction of the railway track axis geometrical shape
PublicationIn the paper a method of the railway track axis geometrical shape identification in a horizontal plane, directly from the continuous satellite measurements, is presented. In this method, an algorithm for the design of railway track sections located in the horizontal arc is used. The algorithm uses an analytical description of the layout by means of suitable mathematical formulas. The design procedure has a universal character and...
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Experimental bases for the rail track surface damage detection system
PublicationA diagnosis of rail surface is generally based on the classical method of direct assessment and track geometry measurements. Identification and qualification of inequality and damage on the surface rails is depend on the skills and experience person who conducting inspection. In times of increasing exploitation of railways, infrastructure managers decide to use systems supporting the assessment of technical condition of the railways....
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Spectral plate element for crach detection with use of propagation wares.
PublicationW pracy przedstawiono model płyty oparty na metodzie elementów spectralnych. Przedstawiono wyniki analizy interakcji pęknięcia zmęczeniowego i propagującej się fali.
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Mathematical modeling and prediction of pit to crack transition under cyclic thermal load using artificial neural network
PublicationThe formation of pitting is a major problem in most metals, which is caused by extremely localized corrosion that creates small holes in metal and subsequently, it changes into cracks under mechanical load, thermo-mechanical stress, and corrosion process factors. This research aims to study pit to crack transition phenomenon of steel boiler heat tubes under cyclic thermal load, and mathematical modeling...
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Fractographic-fractal dimension correlation with crack initiation and fatigue life for notched aluminium alloys under bending load
PublicationIn this study, fatigue fracture surfaces of aluminium alloy 2017-T4 notched specimens were investigated under cyclic bending to find an alternative failure loading index.. The surface topographies were measured on the entire fracture area with an optical profilometer for different loading conditions. Fatigue crack initiation life Ni and total fatigue life Nf were examined using standard surface topography parameters (such as, root...
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Propagacja fali wzdłużnej w pręcie z pęknieciem poprzecznym. Longitudinal wave propagation in a rod with a transverse crack.
PublicationW pracy przedstawiono wyniki analizy propagacji fali wzdłuznej w pręcie z pęknięciem poprzecznym.
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Cloning and characterization of the dnaK heat shock operon of the marine bacterium Vibrio harveyi
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Cloning, expression, purification and characterization of recombinant trehalose synthase from Deinococcus radiodurans.
PublicationTrehalose (α-D-glucopyranosyl-1,1-α-D-glucopyranoside) is a nonreducing disacharide in which the two glucose molecules are linked trough a α-1,1-glycosidic bond. Trehalose is readily hydrolyzed to glucose and can be used as a reserve of that sugar in the cell. The presence of trehalose was found in the cells of fungi and yeasts, bacteria, nematodes, insects, eggs, pupae and some plants. The characteristics of trehalose make it...
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Cloning, Expression and Purification of Wild-Type Trehalose Synthase from Deinococcus geothermalis
PublicationThe aim of this study was isolation and cloning of trehalose synthase gene derived from extremophilic microorganism to the expression vectors in the Tabor-Studier system and its expression in Rosetta(DE3)pLysS Escherichia coli cells. The second phase of the study consisted of proteins purification using an initial denaturation of host proteins and salting-out proteins by ammonium sulfate.
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Cloning of the thermostable alpha-amylase gene from Pyrococcus woesei in Escherichia coli.
PublicationGen kodujący alfa-amylazę z Pyrococcus woesei klonowano do plazmidów pET21d(+)lub pYTB2, którymi transformowano komórki Escherichia coli. Otrzymana rekombinantowa alfa amylaza wykazuje maksymalną aktywność przy pH 5.6 w temperaturze 95 stC i przejawia około 24 % początkowej aktywności nawet po 2 godz. inkubacji w 120 stC. Duża termostabilność otrzymanego preparatu świadczy o jego przydatności do enzymatycznego upłynniania skrobi.
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Sum Coloring of Bipartite Graphs with Bounded Degree
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A better practical algorithm for distributed graph coloring
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Interval vertex-coloring of a graph with forbidden colors
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Interval Vertex-Coloring of a Graph With Forbidden Colors
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Interval edge coloring of a graph with forbidden colors
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New generation cooling systems for car engines
PublicationNormy czystości spalin silników samochodowych wymusiły rozwój elektronicznego sterowania pracą silników samochodowych. Do niedawna układy chłodzenia były bardzo tradycyjnymi - niesterowanymi programowo. W artykule przedstawiono możliwości wprowadzenia zaawansowanego sterowania mikroprocesorowego do układów chłodzenia silników spalinowych. Rozważania zilustrowano badaniami z literatury i własnymi pomiarami autora.
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Parallel tabu search for graph coloring problem
PublicationTabu search is a simple, yet powerful meta-heuristic based on local search that has been often used to solve combinatorial optimization problems like the graph coloring problem. This paper presents current taxonomy of patallel tabu search algorithms and compares three parallelization techniques applied to Tabucol, a sequential TS algorithm for graph coloring. The experimental results are based on graphs available from the DIMACS...
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Cooling of electronic equipment by means of jets and microjets
PublicationW pracy przedstawiono rozwiązanie sprzężonej wymiany ciepła od uderzającej strugi cieczy oraz przewodzenia ciepła w łytce. Uzyskano proste zależności opisujące rozkład temperatur na płytce. Umożliwia to przeprowadzenie analizy wpływu różnych parametró na wymianę ciepła podczas chłodzenia urządzeń elektronicznych generujących ciepło.
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Clothing sets with thermoregulation function for mine rescuers
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Impact of the medical clothing on the thermal stress of surgeons
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Self-stabilizing algorithm for edge-coloring of graphs
PublicationReferat ten poświęcony jest kolorowaniu grafów w modelu rozproszonym.Podano samostabilizujący się algorytm kolorowania krawędzi grafu wraz z dowodem poprawności oraz oszacowaniem jego czasu działania.
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Arsenic causing gallbladder cancer disease in Bihar
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Some aspects surface cooling by impinging jet
PublicationW pracy przedstawiono wyniki badań wymiany ciepła, uskoku hydraulicznego i stabilności podczas napływu strugi na powierzchnię ciała stałego.
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Modeling of the internal combustion engine cooling system
PublicationThe article concerns computer modelling of processes in cooling systems of internal combustion engines. Modelling objectives and existing commercial programs are presented. It also describes Author’s own method of binding graphs used to describe phenomena in the cooling system of a spark ignition engine. The own model has been verified by tests on the engine dynamometer. An example of using a commercial program for experimental...
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Chromatic cost coloring of weighted bipartite graphs
PublicationGiven a graph G and a sequence of color costs C, the Cost Coloring optimization problem consists in finding a coloring of G with the smallest total cost with respect to C. We present an analysis of this problem with respect to weighted bipartite graphs. We specify for which finite sequences of color costs the problem is NP-hard and we present an exact polynomial algorithm for the other finite sequences. These results are then extended...
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Optimal edge-coloring with edge rate constraints
PublicationWe consider the problem of covering the edges of a graph by a sequence of matchings subject to the constraint that each edge e appears in at least a given fraction r(e) of the matchings. Although it can be determined in polynomial time whether such a sequence of matchings exists or not [Grötschel et al., Combinatorica (1981), 169–197], we show that several questions about the length of the sequence are computationally intractable....
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Performance of a hybrid microjet – microchannel cooling module
PublicationThe paper presents the experimental investigation of a microjet- microchannel cooling module. In which microjets of water are impinging into the microchannels and forming a liquid film on the impingement surface. Applied technology takes benefits from two very attractive heat removal techniques. When lminar jets are impinging on the surface have a very high kinetic energy at the stagnation point, also in microchannels boundary...
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Development trends of automotive engine cooling systems
PublicationDzięki daleko idącym modyfikacjom układów zasilania i zapłonu silników samochodowych oraz udoskonaleniom układów oczyszczania spalin uzyskano znaczne zmniejszenie emisji związków toksycznych. Układy chłodzenia z pompą cieczy napędzaną mechanicznie stają się archaiczne nie pozwalając na swobodne sterowanie obiegiem cieczy. Również różna wartość temperatury potrzebnej do schładzania różnych procesów wymaga sterowanych zaworów trójdrożnych...
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New potential functions for greedy independence and coloring
PublicationA potential function $f_G$ of a finite, simple and undirected graph $G=(V,E)$ is an arbitrary function $f_G : V(G) \rightarrow \mathbb{N}_0$ that assigns a nonnegative integer to every vertex of a graph $G$. In this paper we define the iterative process of computing the step potential function $q_G$ such that $q_G(v)\leq d_G(v)$ for all $v\in V(G)$. We use this function in the development of new Caro-Wei-type and Brooks-type...
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STABILITY ANALYSIS OF A TRUSS WITH SLOPING ELASTIC BRACES
PublicationSteel trusses have a much greater strength and stiffness in their plane than out of their plane, and therefore should be braced against lateral deflection and twisting. Such elements like purlins apart from bearing vertical load are part of bracing that stabilize roof trusses against distortional buckling. The stability of trusses with elastic bracing was investigated in an experimental research. Braces situated at some angle measured...