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Digraphs
  • Language: en
  • Pages: 769

Digraphs

The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

Classes of Directed Graphs
  • Language: en
  • Pages: 636

Classes of Directed Graphs

  • Type: Book
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  • Published: 2018-06-18
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  • Publisher: Springer

This edited volume offers a detailed account of the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic. Outlining fundamental discoveries and new results obtained over recent years, this book provides a comprehensive overview of the latest research in the field. It covers core new results on each of the classes discussed, including chapters on tournaments, planar digraphs, acyclic digraphs, Euler digraphs, graph products, directed width parameters, and algorithms. Detailed indices ease navigation while more than 120 open problems and conjectures ensure that readers are immersed in all aspects of the field. Classes of Directed Graphs provides a valuable reference for graduate students and researchers in computer science, mathematics and operations research. As digraphs are an important modelling tool in other areas of research, this book will also be a useful resource to researchers working in bioinformatics, chemoinformatics, sociology, physics, medicine, etc.

Digraphs
  • Language: en
  • Pages: 795

Digraphs

Substantially revised, reorganised and updated, the second edition now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems. As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem. Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject.

Optimization Problems in Graph Theory
  • Language: en
  • Pages: 331

Optimization Problems in Graph Theory

  • Type: Book
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  • Published: 2018-09-27
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  • Publisher: Springer

This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. Researchers, students, and engineers in computer science, big data, applied mathematics, operations research, algorithm design, artificial intelligence, software engineering, data analysis, industrial and systems engineering will benefit from the state-of-the-art results presented in modern graph theory and its applications to the design of efficient algorithms for optimization problems. Topics covered in this work include: · Algorithmic ...

Graph Coloring Problems
  • Language: en
  • Pages: 320

Graph Coloring Problems

Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.

Graph Structure Theory
  • Language: en
  • Pages: 706

Graph Structure Theory

This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Graph Minors, held at the University of Washington in Seattle in the summer of 1991. Among the topics covered are: algorithms on tree-structured graphs, well-quasi-ordering, logic, infinite graphs, disjoint path problems, surface embeddings, knot theory, graph polynomials, matroid theory, and combinatorial optimization.

DENMARK Major Companies Directory
  • Language: en
  • Pages: 440

DENMARK Major Companies Directory

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Digraphs
  • Language: en
  • Pages: 780

Digraphs

  • Type: Book
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  • Published: 2014-01-15
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  • Publisher: Unknown

None

Dualities in graphs and digraphs
  • Language: en
  • Pages: 294

Dualities in graphs and digraphs

In this thesis we describe dualities in directed as well as undirected graphs based on tools such as width-parameters, obstructions and substructures. We mainly focus on directed graphs and their structure. In the context of a long open conjecture that bounds the monotonicity costs of a version of the directed cops and robber game, we introduce new width-measures based on directed separations that are closely related to DAG-width. We identify a tangle-like obstruction for which we prove a duality theorem. Johnson, Reed, Robertson, Seymour and Thomas introduced the width measure directed treewidth as a generalisation of treewidth for directed graphs. We introduce a new width measure, the cycl...

Papers on Syntax
  • Language: en
  • Pages: 484

Papers on Syntax

The selection of papers reprinted here traces the development of syntax from structural linguistics through transformational linguistics to operator gram mar. These three are not opposing views or independent assumptions about language. Rather, they are successive stages of investigation into the word combinations which constitue the sentences of a language in contrast to those which do not. Throughout, the goal has been to find the systemati cities of these combinations, and then to obtain each sentence in a uniform way from its parts. In structural analysis, the parts were words (simple or complex, belonging to particular classes) or particular sequences of these. In transformational analy...