Graphs And Homomorphisms
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Graphs And Homomorphisms
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Author : Pavol Hell
language : en
Publisher: OUP Oxford
Release Date : 2004-07-22
Graphs And Homomorphisms written by Pavol Hell and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-22 with Mathematics categories.
This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics.Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro).The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided.The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.
Graphs And Homomorphisms
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Author : Pavol Hell
language : en
Publisher:
Release Date : 2004
Graphs And Homomorphisms written by Pavol Hell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Graph theory categories.
Based on the authors' lecture notes, this book is concerned with an aspect of graph theory that has broad applications to complexity theory, graph colourings, channel assignment and statistical physics. It contains exercises, hints and references.
Graphs And Homomorphisms
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Author : Pavol Hell
language : en
Publisher: OUP Oxford
Release Date : 2004-07-22
Graphs And Homomorphisms written by Pavol Hell and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-22 with Mathematics categories.
This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.
Homomorphism And Isomorphism In Strong Neutrosophic Graphs
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Author : M. Mullai
language : en
Publisher: Infinite Study
Release Date :
Homomorphism And Isomorphism In Strong Neutrosophic Graphs written by M. Mullai and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The concept of strong neutrosophic graph is developed with example and some of their properties are investigated in this paper. Some definitions, homomorphism, isomorphism theorems and propositions in strong neutrosophic graphs are established. Basic operations(like union, intersection etc.,) and complement of strong neutrosophic graphs are also derived here.
Structure Of Graph Homomorphisms Microform
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Author : Roman Bačík
language : en
Publisher: National Library of Canada = Bibliothèque nationale du Canada
Release Date : 1997
Structure Of Graph Homomorphisms Microform written by Roman Bačík and has been published by National Library of Canada = Bibliothèque nationale du Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Graph theory categories.
Algebraic Graph Theory
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Author : Ulrich Knauer
language : en
Publisher: Walter de Gruyter
Release Date : 2011-09-29
Algebraic Graph Theory written by Ulrich Knauer and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-29 with Mathematics categories.
Graph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. In turn, graphs are models for mathematical objects, like categories and functors. This highly self-contained book about algebraic graph theory is written with a view to keep the lively and unconventional atmosphere of a spoken text to communicate the enthusiasm the author feels about this subject. The focus is on homomorphisms and endomorphisms, matrices and eigenvalues. It ends with a challenging chapter on the topological question of embeddability of Cayley graphs on surfaces.
Complexity And Expressibility Of Counting Graph Homomorphism Problems
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Author : Artsiom Hovarau
language : en
Publisher:
Release Date : 2021
Complexity And Expressibility Of Counting Graph Homomorphism Problems written by Artsiom Hovarau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
We investigate expressibility and computational complexity aspects of counting graph homomorphisms. Our expressibility results deal with structural properties of graph homomorphisms and their relation to different graph parameters. Our computational complexity results concern exact counting problems. For various such problems complexity dichotomies have been proved. A typical dichotomy statement is that a problem is either in polynomial time or #P-hard depending on certain conditions. In the expressibilty part, we first obtain a criterion for a graph parameter to be expressible as a partition function of graph homomorphisms over an arbitrary field, generalizing the result from [27]. In order to achieve this, we introduce the notion of a connection tensor extending that of a connection matrix in [27]. We also deal with expressibility aspects of different graph parameters. In particular, using our criterion we show the inexpressiblity of perfect matchings and edge colorings as a graph homomorphism problem. Next, we show that two graphs with arbitrary vertex and edge weights cannot define the same partition function of graph homomorphisms unless they are isomorphic. This result is a direct generalization of [45, 46, 56]. After that, we inquire into the complexity of counting graph homomorphisms. By introducing some novel combinatorial constructions and interpolation techniques, we generalize the Bulatov-Grohe dichotomy [5] for nonnegative edge weights, i.e., the #P-hardness part thereof, to bounded degree (and simple) graphs. Further, by employing more techniques and considerably more work, primarily of an algebraic nature, we show how to extend the more general complexity dichotomy by Cai, Chen and Lu [8] for complex edge weights to bounded degree (and simple) graphs and also how to do it constructively. We first achieve an extension for bounded degree graphs, and then make a transition to bounded degree simple graphs. Besides, some of our expressibility results play a crucial role for the transition to bounded degree simple graphs and the construcitivity of our dichotomy. This all serves as a unifying component in this work.
Homomorphisms Of Infinite Directed Graphs Microform
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Author : Bruce Bauslaugh
language : en
Publisher: National Library of Canada = Bibliothèque nationale du Canada
Release Date : 1994
Homomorphisms Of Infinite Directed Graphs Microform written by Bruce Bauslaugh and has been published by National Library of Canada = Bibliothèque nationale du Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Directed graphs categories.
Graph Symmetry
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Author : Gena Hahn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Graph Symmetry written by Gena Hahn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.
Graphs Morphisms And Statistical Physics
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Author : Jaroslav Nešetřil
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Graphs Morphisms And Statistical Physics written by Jaroslav Nešetřil and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
Based on a March 2001 workshop, this collection explores connections between random graphs and percolation, between slow mixing and phase transition, and between graph morphisms and hard-constraint models. Topics of the 14 papers include efficient local search near phase transitions in combinatorial optimization, graph homomorphisms and long range action, recent results on parameterized H-colorings, the satisfiability of random k-Horn formulae, a discrete non-Pfaffian approach to the Ising problem, and chromatic numbers of products of tournaments. No indexes are provided. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).