On Isomorphic Decompositions Of Graphs

DOWNLOAD

Download On Isomorphic Decompositions Of Graphs PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get On Isomorphic Decompositions Of Graphs book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

On Isomorphic Decompositions Of Graphs

DOWNLOAD
Author : Sergio Ruiz
language : en
Publisher:
Release Date : 1983

On Isomorphic Decompositions Of Graphs written by Sergio Ruiz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Graph theory categories.

Methods Of Graph Decompositions

DOWNLOAD
Author : Vadim Zverovich
language : en
Publisher: Oxford University Press
Release Date : 2024-08-06

Methods Of Graph Decompositions written by Vadim Zverovich and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Mathematics categories.

In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions discusses some state-of-the-art decomposition methods of graph theory, which are highly instrumental when dealing with a number of fundamental concepts such as unigraphs, isomorphism, reconstruction conjectures, k-dimensional graphs, degree sequences, line graphs and line hypergraphs. The first part of the book explores the algebraic theory of graph decomposition, whose major idea is to define a binary operation that turns the set of graphs or objects derived from graphs into an algebraic semigroup. If an operation and a class of graphs are appropriately chosen, then, just as for integers, each graph has a unique factorization (or canonical decomposition) into a product of prime factors. The unique factorization property makes this type of decomposition especially efficient for problems associated with graph isomorphism, and several such examples are described in the book. Another topic is devoted to Krausz-type decompositions, that is, special coverings of graphs by cliques that are directly associated with representation of graphs as line graphs of hypergraphs. The book discusses various algorithmic and structural results associated with the existence, properties and applications of such decompositions. In particular, it demonstrates how Krausz-type decompositions are directly related to topological dimension, information complexity and self-similarity of graphs, thus allowing to establish links between combinatorics, general topology, information theory and studies of complex systems. The above topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory. The book will be ideal for researchers, engineers and specialists, who are interested in fundamental problems of graph theory and proof techniques to tackle them.

Erdos On Graphs

DOWNLOAD
Author : Fan Chung
language : en
Publisher: CRC Press
Release Date : 1998-01-01

Erdos On Graphs written by Fan Chung and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.

This book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines -- within the context of his unique personality and lifestyle -- the legacy of open problems he left to the world after his death in 1996. Unwilling to succumb to the temptat

Irregularity In Graphs

DOWNLOAD
Author : Akbar Ali
language : en
Publisher: Springer Nature
Release Date : 2021-05-20

Irregularity In Graphs written by Akbar Ali and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-20 with Mathematics categories.

Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. While regular graphs are typically considered to be graphs whose vertices all have the same degree, a more general interpretation is that of graphs possessing some common characteristic throughout their structure. During the past several decades, however, there has been some increased interest in investigating graphs possessing a property that is, in a sense, opposite to regularity. It is this topic with which this book deals, giving rise to a study of what might be called irregularity in graphs. Here, various irregularity concepts dealing with several topics in graph theory are described, such as degrees of vertices, graph labelings, weightings, colorings, graph structures, Eulerian and Hamiltonian properties, graph decompositions, and Ramsey-type problems.

Graph Theory And Decomposition

DOWNLOAD
Author : Jomon Kottarathil
language : en
Publisher: CRC Press
Release Date : 2024-04-10

Graph Theory And Decomposition written by Jomon Kottarathil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-10 with Mathematics categories.

The book Graph Theory and Decomposition covers major areas of the decomposition of graphs. It is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars. It comprehends historical evolution and basic terminologies, and it deliberates on decompositions into cyclic graphs, such as cycle, digraph, and K4-e decompositions. In addition to determining the pendant number of graphs, it has a discourse on decomposing a graph into acyclic graphs like general tree, path, and star decompositions. It summarises another recently developed decomposition technique, which decomposes the given graph into multiple types of subgraphs. Major conjectures on graph decompositions are elaborately discussed. It alludes to a comprehensive bibliography that includes over 500 monographs and journal articles. It includes more than 500 theorems, around 100 definitions, 56 conjectures, 40 open problems, and an algorithm. The index section facilitates easy access to definitions, major conjectures, and named theorems. Thus, the book Graph Theory and Decomposition will be a great asset, we hope, in the field of decompositions of graphs and will serve as a reference book for all who are passionate about graph theory.

Theory And Applications Of Models Of Computation

DOWNLOAD
Author : Ding-Zhu Du
language : en
Publisher: Springer Nature
Release Date : 2023-01-01

Theory And Applications Of Models Of Computation written by Ding-Zhu Du and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Computers categories.

This book constitutes the refereed proceedings of the 17th Annual Conference on Theory and Applications of Models of Computation, TAMC 2022, held as a virtual event, in September 2022. The 33 full papers were carefully reviewed and selected from 75 submissions. The main themes of the selected papers are computability, complexity, algorithms, information theory and their extensions to machine learning theory, and foundations of artificial intelligence.

Graph Theoretic Concepts In Computer Science

DOWNLOAD
Author : Andreas Brandstädt
language : en
Publisher: Springer
Release Date : 2007-12-06

Graph Theoretic Concepts In Computer Science written by Andreas Brandstädt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-06 with Computers categories.

This book constitutes the thoroughly refereed post-proceedings of the 33rd International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2007, held in Dornburg, Germany, in June 2007. The 30 revised full papers presented together with one invited paper were carefully selected from 99 submissions. The papers feature original results on all aspects of graph-theoretic concepts in Computer Science, including structural graph theory, graph-based modeling, and graph-drawing.

Computer Science Theory And Applications

DOWNLOAD
Author : Alexander Kulikov
language : en
Publisher: Springer
Release Date : 2011-06-12

Computer Science Theory And Applications written by Alexander Kulikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-12 with Computers categories.

This book constitutes the proceedings of the 6th International Computer Science Symposium in Russia, CSR 2011, held in St. Petersburg, Russia, in June 2011. The 29 papers presented were carefully reviewed and selected from 76 submissions. The scope of topics of the symposium was quite broad and covered basically all areas of the foundations of theoretical computer science.

Theory Of 2 Structures The A Framework For Decomposition And Transformation Of Graphs

DOWNLOAD
Author : Andrzej Ehrenfeucht
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-08-30

Theory Of 2 Structures The A Framework For Decomposition And Transformation Of Graphs written by Andrzej Ehrenfeucht and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-30 with Mathematics categories.

The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system. In particular, it forms a useful framework for decomposition and transformation of graphs.The decomposition methods presented in this book correspond closely to the top-down design methods studied in computer science. The transformation methods considered here have a natural interpretation in the dynamic evolution of certain kinds of communication networks. From the mathematical point of view, the clan decomposition method presented here, also known as modular decomposition or substitution decomposition, is closely related to the decomposition by quotients in algebra. The transformation method presented here is based on labelled 2-structures over groups, the theory of which generalizes the well-studied theory of switching classes of graphs.This book is both a text and a monograph. As a monograph, the results concerning the decomposition and transformation of 2-structures are presented in a unified way. In addition, detailed notes on references are provided at the end of each chapter. These notes allow the reader to trace the origin of many notions and results, and to browse through the literature in order to extend the material presented in the book.To facilitate its use as a textbook, there are numerous examples and exercises which provide an opportunity for the reader to check his or her understanding of the discussed material. Furthermore, the text begins with preliminaries on partial orders, semigroups, groups and graphs to the extent needed for the book.

Structural Analysis Of Complex Networks

DOWNLOAD
Author : Matthias Dehmer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-14

Structural Analysis Of Complex Networks written by Matthias Dehmer 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 2010-10-14 with Mathematics categories.

Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized. The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.