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Wyniki wyszukiwania dla: MINIMAL DOMINATING SET

  • Trees having many minimal dominating sets

    We provide an algorithm for listing all minimal dominating sets of a tree of order n in time O(1.4656^n). This leads to that every tree has at most 1.4656^n minimal dominating sets. We also give an infinite family of trees of odd and even order for which the number of minimal dominating sets exceeds 1.4167^n, thus exceeding 2^{n/2}. This establishes a lower bound on the running time of an algorithm for listing all minimal dominating...

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  • Polynomial Algorithm for Minimal (1,2)-Dominating Set in Networks

    Publikacja

    - Electronics - Rok 2022

    Dominating sets find application in a variety of networks. A subset of nodes D is a (1,2)-dominating set in a graph G=(V,E) if every node not in D is adjacent to a node in D and is also at most a distance of 2 to another node from D. In networks, (1,2)-dominating sets have a higher fault tolerance and provide a higher reliability of services in case of failure. However, finding such the smallest set is NP-hard. In this paper, we...

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  • Minimal 2-dominating sets in Trees

    We provide an algorithm for listing all minimal 2-dominating sets of a tree of order n in time O(1.3247^n). This leads to that every tree has at most 1.3247^n minimal 2-dominating sets. We also show that thisbound is tight.

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  • Minimal double dominating sets in trees

    Publikacja

    - Rok 2014

    We provide an algorithm for listing all minimal double dominating sets of a tree of order $n$ in time $\mathcal{O}(1.3248^n)$. This implies that every tree has at most $1.3248^n$ minimal double dominating sets. We also show that this bound is tight.

  • An Algorithm for Listing All Minimal 2-Dominating Sets of a Tree

    We provide an algorithm for listing all minimal 2-dominating sets of a tree of order n in time O(1.3248n) . This implies that every tree has at most 1.3248 n minimal 2-dominating sets. We also show that this bound is tigh.

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  • An algorithm for listing all minimal double dominating sets of a tree

    Publikacja

    We provide an algorithm for listing all minimal double dominating sets of a tree of order $n$ in time $\mathcal{O}(1.3248^n)$. This implies that every tree has at most $1.3248^n$ minimal double dominating sets. We also show that this bound is tight.

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  • Graphs with equal domination and certified domination numbers

    Publikacja

    - Opuscula Mathematica - Rok 2019

    A setDof vertices of a graphG= (VG,EG) is a dominating set ofGif every vertexinVG−Dis adjacent to at least one vertex inD. The domination number (upper dominationnumber, respectively) ofG, denoted byγ(G) (Γ(G), respectively), is the cardinality ofa smallest (largest minimal, respectively) dominating set ofG. A subsetD⊆VGis calleda certified dominating set ofGifDis a dominating set ofGand every vertex inDhas eitherzero...

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  • Total Domination Versus Domination in Cubic Graphs

    Publikacja

    A dominating set in a graph G is a set S of vertices of G such that every vertex not in S has a neighbor in S. Further, if every vertex of G has a neighbor in S, then S is a total dominating set of G. The domination number,γ(G), and total domination number, γ_t(G), are the minimum cardinalities of a dominating set and total dominating set, respectively, in G. The upper domination number, \Gamma(G), and the upper total domination...

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  • On proper (1,2)‐dominating sets in graphs

    Publikacja

    In 2008, Hedetniemi et al. introduced the concept of (1,)-domination and obtained some interesting results for (1,2) -domination. Obviously every (1,1) -dominating set of a graph (known as 2-dominating set) is (1,2) -dominating; to distinguish these concepts, we define a proper (1,2) -dominating set of a graph as follows: a subset is a proper (1,2) -dominating set of a graph if is (1,2) -dominating and it is not a (1,1) -dominating...

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  • Redukcja czasu analizy MZP przez ograniczenie rozmiaru rozwiązania

    Analiza drzew niezdatności jest uznaną metodą analizy bezpieczeństwa systemów. Notacja ECSDM pozwala definiować zależności czasowe między zdarzeniami drzewa oraz przeanalizować je w celu określenia zależności pomiędzy zdarzeniami z Minimalnych Zbiorów Przyczyn (MZP). Dzięki wprowadzeniu klasyfikacji zdarzeń z MZP można wyodrębnić zależności czasowe istotne dla zapobiegania wywoływania hazardu przez konkretny MZP. Pozostałe zależności...

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  • Modele i algorytmy dla grafowych struktur defensywnych

    Publikacja

    - Rok 2023

    W niniejszej pracy przeprowadzono analizę złożoności istnienia struktur defensywnych oraz równowag strategicznych w grafach. W przypadku struktur defensywnych badano modele koalicji defensywnych, zbiorów defensywnych i koalicji krawędziowych – każdy z nich w wersji globalnej, tj. z wymogiem dominacji całego grafu. W przypadku modeli równowagi strategicznej badano równowagę strategiczną koalicji defensywnych, równowagę strategiczną...

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  • Reconfiguring Minimum Dominating Sets in Trees

    Publikacja

    We provide tight bounds on the diameter of γ-graphs, which are reconfiguration graphs of the minimum dominating sets of a graph G. In particular, we prove that for any tree T of order n ≥ 3, the diameter of its γ-graph is at most n/2 in the single vertex replacement adjacency model, whereas in the slide adjacency model, it is at most 2(n − 1)/3. Our proof is constructive, leading to a simple linear-time algorithm for determining...

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  • Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms

    We apply the representation of Lefschetz numbers of iterates in the form of periodic expansion to determine the minimal sets of Lefschetz periods of Morse–Smale diffeomorphisms. Applying this approach we present an algorithmic method of finding the family of minimal sets of Lefschetz periods for Ng, a non-orientable compact surfaces without boundary of genus g. We also partially confirm the conjecture of Llibre and Sirvent (J Diff...

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  • Vehicle detector training with minimal supervision

    Publikacja

    Recently many efficient object detectors based on convolutional neural networks (CNN) have been developed and they achieved impressive performance on many computer vision tasks. However, in order to achieve practical results, CNNs require really large annotated datasets for training. While many such databases are available, many of them can only be used for research purposes. Also some problems exist where such datasets are not...

  • Minimal surfaces and conservation laws for bidimensional structures

    We discuss conservation laws for thin structures which could be modeled as a material minimal surface, i.e., a surface with zero mean curvatures. The models of an elastic membrane and micropolar (six-parameter) shell undergoing finite deformations are considered. We show that for a minimal surface, it is possible to formulate a conservation law similar to three-dimensional non-linear elasticity. It brings us a path-independent...

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  • Super Dominating Sets in Graphs

    Publikacja

    In this paper some results on the super domination number are obtained. We prove that if T is a tree with at least three vertices, then n2≤γsp(T)≤n−s, where s is the number of support vertices in T and we characterize the extremal trees.

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  • Incremental construction of Minimal Tree Automata [online]

    Publikacja

    - ALGORITHMICA - Rok 2009

    We describe an algorithm that allows the incremental addition or removal of unranked ordered trees to minimal frontier-to-root deterministic tree automaton (DTA). The algorithm takes a tree t and a minimal DTA A as input; it outputs a minimal DTA A' which accepts the language L(A) accepted by A incremented (or decremented) with the tree t. The algorithm can be used to efficiently maintain dictionaries which store large collections...

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  • Open-Set Speaker Identification Using Closed-Set Pretrained Embeddings

    Publikacja

    - Rok 2022

    The paper proposes an approach for extending deep neural networks-based solutions to closed-set speaker identification toward the open-set problem. The idea is built on the characteristics of deep neural networks trained for the classification tasks, where there is a layer consisting of a set of deep features extracted from the analyzed inputs. By extracting this vector and performing anomaly detection against the set of known...

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  • Application of Doubly Connected Dominating Sets to Safe Rectangular Smart Grids

    Publikacja

    - ENERGIES - Rok 2022

    Smart grids, together with the Internet of Things, are considered to be the future of the electric energy world. This is possible through a two-way communication between nodes of the grids and computer processing. It is necessary that the communication is easy and safe, and the distance between a point of demand and supply is short, to reduce the electricity loss. All these requirements should be met at the lowest possible cost....

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  • Perfect hashing with pseudo-minimal bottom-up deterministic tree automata

    Publikacja

    - Rok 2008

    We describe a technique that maps unranked trees to their hash codes using a bottom-up deterministic tree automaton (DTA). In contrast to techniques implemented with minimal tree automata, our procedure builds a pseudo-minimal DTA. Pseudo-minimal automata are larger than the minimal ones but in turn the mapping can be arbitrary, so it can be determined prior to the automaton construction. We also provide procedures to build incrementally...

  • Minimal Sets of Lefschetz Periods for Morse-Smale Diffeomorphisms of a Connected Sum of g Real Projective Planes

    Publikacja

    - Rok 2022

    The dataset titled Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g real projective planes contains all of the values of the topological invariant called the minimal set of Lefschetz periods, computed for Morse-Smale diffeomorphisms of a non-orientable compact surface without boundary of genus g (i.e. a connected sum of g real projective planes), where g varies from 1 to...

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  • An absorbing set for the Chialvo map

    The classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...

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  • Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds

    Publikacja

    Let M be a smooth compact and simply-connected manifold with simply-connected boundary ∂M, r be a fixed odd natural number. We consider f, a C1 self-map of M, preserving ∂M . Under the assumption that the dimension of M is at least 4, we define an invariant Dr(f;M,∂M) that is equal to the minimal number of r-periodic points for all maps preserving ∂M and C1-homotopic to f. As an application, we give necessary and sufficient...

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  • A perfect hashing incremental scheme for unranked trees using pseudo-minimal automata

    Publikacja

    We describe a technique that maps unranked trees to arbitrary hash codes using a bottom-up deterministic tree automaton (DTA). In contrast to other hashing techniques based on automata, our procedure builds a pseudo-minimal DTA for this purpose. A pseudo-minimal automaton may be larger than the minimal one accepting the same language but, in turn, it contains proper elements (states or transitions that are unique) for every input...

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  • Photovoltaic demonstration set up

    Publikacja

    The use of photovoltaics is growing rapidly in the industry as well as households. Therefore, educating the public will help them understand solar cell technology, which is becoming more common in everyday life. This paper proposes a demonstrational set-up of photovoltaic panel for the purpose of science education. It was used in numerous outreach activities such as science fairs. Moreover, it proved to be a great tool for education...

  • Randomness Amplification under Minimal Fundamental Assumptions on the Devices

    Publikacja
    • R. Ramanathan
    • F. Brandão
    • K. Horodecki
    • M. Horodecki
    • P. Horodecki
    • H. Wojewódka

    - PHYSICAL REVIEW LETTERS - Rok 2016

    Recently, the physically realistic protocol amplifying the randomness of Santha-Vazirani sources producing cryptographically secure random bits was proposed; however, for reasons of practical relevance, the crucial question remained open regarding whether this can be accomplished under the minimal conditions necessary for the task. Namely, is it possible to achieve randomness amplification using only two no-signaling components...

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  • Control of a vapour microturbine set in cogeneration applications

    Publikacja

    Systems with microturbines are implemented for local generation of heat and electricity. This paper presents the analysis of control concepts for a vapour microturbine set with a generator with permanent magnets, intended to work in small heat and power plants. Control system variants differed by the selection of controlled signals and set parameters. Possible ways of control were discussed and compared with experimentally determined...

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  • On bipartization of cubic graphs by removal of an independent set

    Publikacja

    - DISCRETE APPLIED MATHEMATICS - Rok 2016

    We study a new problem for cubic graphs: bipartization of a cubic graph Q by deleting sufficiently large independent set.

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  • Developing an Ontology from Set of Experience KnowledgeStructure

    Publikacja

    - Rok 2006

    When referring to knowledge forms,collecting for all decision eventsin a knowledge-explicit way becomes a significant ask for any company. Set of experience knowledge structure can assis in accomplishing this purpose.However,after collecting,distributing and sharing that knowledge as adecisional DNA is even a more important advance.Distributing and sharing companies' decisional DNA through an efficient development of Ontologies...

  • Determination of the minimal critical rotational speeds of the circular saw blades with the quasi-twin resonant frequencies

    Publikacja

    To determine the minimal critical rotational speeds of the circular saw blades is the fundamental aspect of obtaining the range of the rotational operating speeds, by which the circular saw blade can work with required stability. While for the circular saw blades with full-homogeneous bodies the determination of such rotational speeds is the relatively low level of difficulty function, whereas for circular saw blades with more...

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  • Asymptotic behaviour in the set of nonhomogeneous chains of stochastic operators

    We study different types of asymptotic behaviour in the set of (infinite dimensional) nonhomogeneous chains of stochastic operators acting on L1(μ) spaces. In order to examine its structure we consider different norm and strong operator topologies. To describe the nature of the set of nonhomogeneous chains of Markov operators with a particular limit behaviour we use the category theorem of Baire. We show that the geometric structure...

  • Music Genre Recognition in the Rough Set-Based Environment

    Publikacja

    - Rok 2015

    The aim of this paper is to investigate music genre recognition in the rough set-based environment. Experiments involve a parameterized music data-base containing 1100 music excerpts. The database is divided into 11 classes cor-responding to music genres. Tests are conducted using the Rough Set Exploration System (RSES), a toolset for analyzing data with the use of methods based on the rough set theory. Classification effectiveness...

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  • Post-comatose patients with minimal consciousness tend to preserve reading comprehension skills but neglect syntax and spelling

    Publikacja

    - Scientific Reports - Rok 2019

    Modern eye tracking technology provides a means for communication with patients suffering from disorders of consciousness (DoC) or remaining in locked-in-state. However, being able to use an eye tracker for controlling text-based contents by such patients requires preserved reading ability in the first place. To our knowledge, this aspect, although of great social importance, so far has seemed to be neglected. In the paper, we...

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  • GreedyMAX-type Algorithms for the Maximum Independent Set Problem

    Publikacja

    A maximum independent set problem for a simple graph G = (V,E) is to find the largest subset of pairwise nonadjacent vertices. The problem is known to be NP-hard and it is also hard to approximate. Within this article we introduce a non-negative integer valued functionp defined on the vertex set V(G) and called a potential function of agraph G, while P(G) = max{vinV(G)| p(v)} is called a potential of G. For any graph P(G) <= D(G),...

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  • Prevalence Problem in the Set of Quadratic Stochastic Operators Acting on L1

    This paper is devoted to the study of the problem of prevalence in the class of quadratic stochastic operators acting on the L1 space for the uniform topology. We obtain that the set of norm quasi-mixing quadratic stochastic operators is a dense and open set in the topology induced by a very natural metric. This shows the typical long-term behaviour of iterates of quadratic stochastic operators.

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  • OVERALL SET OF BANDSAW TEETH VERSUS METHODS OF MEASUREMENTS

    This article deals with the impact of the manual methods of measurement on the overall set measurement results. It describes the results of the measurement of bandsaw teeth kerf with the use of a micrometer and a digital calliper. It is commonly known that the cutting process causes the wear of cutting tools. The wear of the cutting edge depends on the cutting conditions as well as on the mechanical properties of the processed...

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  • ALLYING SYSTEM THINKING AND SET OF EXPERIENCE KNOWLEDGE STRUCTURE

    Publikacja

    The approach of system thinking is completely different from traditional forms of analysis. Even the ancient meaning of word analysis is “a breaking up”. Set of Experience Knowledge Structure is an atomic record of decision event that can be grouped together and form some form of decision DNA of an organization. The question that this paper is trying to answer in how those concepts can be merged.

  • The Usage of the BP-Layers Stereo Matching Algorithm with the EBCA Camera Set

    Publikacja

    - Rok 2023

    This paper is concerned with applying a stereo matching algorithm called BP-Layers to a set of many cameras. BP Layers is designed for obtaining disparity maps from stereo cameras. The algorithm takes advantage of convolutional natural networks. This paper presents using this algorithm with a set called Equal Baseline Camera Array. This set consists of up to five cameras with one central camera and other ones aground it. Such a...

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  • Minimal parameter implicit solvent model for ab initioelectronic-structure calculations

    Publikacja

    - EPL-EUROPHYS LETT - Rok 2011

    Abstract - We present an implicit solvent model for ab initio electronic-structure calculations which is fully self-consistent and is based on direct solution of the nonhomogeneous Poisson equation. The solute cavity is naturally defined in terms of an isosurface of the electronic density according to the formula of Fattebert and Gygi (J. Comput. Chem., 23 (2002) 662). While this model depends on only two parameters, we demonstrate...

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  • Mixed systems with minimal and maximal lifetime variances

    Publikacja

    - METRIKA - Rok 2012

    Rozważa się mieszane układy złożone ze stałej liczby składników, których czasy zycia są niezależnymi zmiennymi losowymi o jednakowym rozkładzie i dodatniej wariancji. Bada się minimalną i maksymalną wariancję czasu życia rozważanych układów.

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  • Minimal transverse reinforcement of reinforced concrete members

    Publikacja

    W pierwszej części pracy omówiono zagadnienia dotyczące minimalnego zbrojenia na ścinanie elementów żelbetowych w kontekście norm europejskich oraz pozaeuropejskich. W drugiej części pracy dokonano analizy wyników badań eksperymentalnych dotyczących nośności elementów bez zbrojenia poprzecznego, które stanowią podstawę do weryfikacji zaleceń normowych w zakresie minimalnego zbrojenia na ścinanie.

  • Minimal and maximal solutions of differential equations with a singularmatrix.

    Publikacja

    Praca dotyczy zagadnień początkowych dla układów równań różniczkowych z macierzą osobliwą. Równania różniczkowo-algebraiczne są szczególnym przypadkiem takich zagadnień.Stosując metodę iteracji monotonicznych pokazano, że przy pewnych założeniach problem wyjściowy ma ekstremalne rozwiązania w pewnym sektorze.Teoretyczne rozważania zilustrowano przykładem.

  • Stereo Camera Upgraded to Equal Baseline Multiple Camera Set (EBMCS)

    Publikacja

    - Rok 2017

    The paper presents the results of using a set of five cameras called Equal Baseline Multiple Camera Set (EBMCS) for making 3D images, disparity maps and depth maps. Cameras in the set are located in the vicinity of each other and therefore the set can be used for the purpose of stereoscopy similarly as a stereo camera.EBMCS provides disparity maps and depth maps which have a better quality than these maps obtained with the use...

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  • Improving depth maps of plants by using a set of five cameras

    Obtaining high-quality depth maps and disparity maps with the use of a stereo camera is a challenging task for some kinds of objects. The quality of these maps can be improved by taking advantage of a larger number of cameras. The research on the usage of a set of five cameras to obtain disparity maps is presented. The set consists of a central camera and four side cameras. An algorithm for making disparity maps called multiple...

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  • An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds

    For a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m 4, we provide an algorithm for estimating the values of the topological invariant D^m_r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing D^m_r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013),...

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  • May dithiophosphoric acid participate in the set process?

    Zastosowano otrzymane S-tioacyloditiofosforany jako odczynniki tioacylujące do syntezy kwasów tiohydroksamowych. Dla większości N-alkilohydroksyloamin produktem tej reakcji były żądane kwasy tiohydroksamowe. Natomiast gdy substratem jest hydroksyloamina zawierająca duży objętościowo podstawnik na atomie azotu lub gdy posiada dwa podstawniki na atomie azotu w reakcji tej tworzą się wyłącznie odpowiednie O-tioacylohydroksyloaminy....

  • Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces

    Publikacja

    - TOPOLOGY AND ITS APPLICATIONS - Rok 2012

    Let f be a smooth self-map of a closed connected manifold of dimension m⩾3. The authors introduced in [G. Graff, J. Jezierski, Minimizing the number of periodic points for smooth maps. Non-simply connected case, Topology Appl. 158 (3) (2011) 276-290] the topological invariant NJD_r[f], where r is a fixed natural number, which is equal to the minimal number of r-periodic points in the smooth homotopy class of f. In this paper smooth...

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  • Scattering by a set of pseudochiral cylinders

    Publikacja

    Analiza rozpraszania fali elektomagnetycznej na układzie cylindrów wykonanych z materiału pseudochiralnego. Analiza obejmuje problemy zamknięte (złącza falowodowe) i otwarte (rozpraszanie w wolnej przestrzeni). Analiza bazuje na metodzie dopasowania rodzajów i zmodyfikowanej procedurze iteracyjnej rozpraszania fali e-m.

  • Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds

    Publikacja

    Let M be a closed smooth connected and simply connected manifold of dimension m at least 3, and let r be a fixed natural number. The topological invariant D^m_r [f], defined by the authors in [Forum Math. 21 (2009), 491-509], is equal to the minimal number of r-periodic points in the smooth homotopy class of f, a given self-map of M. In this paper, we present a general combinatorial scheme of computing D^m_r [f] for arbitrary dimension...

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  • Incremental and pseudo-incremental construction of pseudo-minimal automata.

    Publikacja

    - Rok 2006

    Automaty pseudominimalne mają dla każdego słowa w języku automatu co najmniej jeden element własny (stan lub przejście), który nie jest współdzielony z żadnym innym słowem. Przedstawiamy przyrostowe i półprzyrostowe algorytmy tworzenia takich automatów.

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