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In the present era dominated by computers, graph theory has come
into its own as an area of mathematics, prominent for both its
theory and its applications. One of the richest and most studied
types of graph structures is that of the line graph, where the
focus is more on the edges of a graph than on the vertices. A
subject worthy of exploration in itself, line graphs are closely
connected to other areas of mathematics and computer science. This
book is unique in its extensive coverage of many areas of graph
theory applicable to line graphs. The book has three parts. Part I
covers line graphs and their properties, while Part II looks at
features that apply specifically to directed graphs, and Part III
presents generalizations and variations of both line graphs and
line digraphs. Line Graphs and Line Digraphs is the first
comprehensive monograph on the topic. With minimal prerequisites,
the book is accessible to most mathematicians and computer
scientists who have had an introduction graph theory, and will be a
valuable reference for researchers working in graph theory and
related fields.
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Theoretical Computer Science and Discrete Mathematics - First International Conference, ICTCSDM 2016, Krishnankoil, India, December 19-21, 2016, Revised Selected Papers (Paperback, 1st ed. 2017)
S. Arumugam, Jay Bagga, Lowell W. Beineke, B. S. Panda
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R2,975
Discovery Miles 29 750
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Ships in 10 - 15 working days
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This volume constitutes the refereed post-conference proceedings of
the International Conference on Theoretical Computer Science and
Discrete Mathematics, held in Krishnankoil, India, in December
2016. The 57 revised full papers were carefully reviewed and
selected from 210 submissions. The papers cover a broad range of
topics such as line graphs and its generalizations, large graphs of
given degree and diameter, graphoidal covers, adjacency spectrum,
distance spectrum, b-coloring, separation dimension of graphs and
hypergraphs, domination in graphs, graph labeling problems,
subsequences of words and Parike matrices, lambda-design
conjecture, graph algorithms and interference model for wireless
sensor networks.
Algorithmic graph theory has been expanding at an extremely rapid
rate since the middle of the twentieth century, in parallel with
the growth of computer science and the accompanying utilization of
computers, where efficient algorithms have been a prime goal. This
book presents material on developments on graph algorithms and
related concepts that will be of value to both mathematicians and
computer scientists, at a level suitable for graduate students,
researchers and instructors. The fifteen expository chapters,
written by acknowledged international experts on their subjects,
focus on the application of algorithms to solve particular
problems. All chapters were carefully edited to enhance readability
and standardize the chapter structure as well as the terminology
and notation. The editors provide basic background material in
graph theory, and a chapter written by the book's Academic
Consultant, Martin Charles Golumbic (University of Haifa, Israel),
provides background material on algorithms as connected with graph
theory.
The rapidly expanding area of structural graph theory uses ideas of
connectivity to explore various aspects of graph theory and vice
versa. It has links with other areas of mathematics, such as design
theory and is increasingly used in such areas as computer networks
where connectivity algorithms are an important feature. Although
other books cover parts of this material, none has a similarly wide
scope. Ortrud R. Oellermann (Winnipeg), internationally recognised
for her substantial contributions to structural graph theory, acted
as academic consultant for this volume, helping shape its coverage
of key topics. The result is a collection of thirteen expository
chapters, each written by acknowledged experts. These contributions
have been carefully edited to enhance readability and to
standardise the chapter structure, terminology and notation
throughout. An introductory chapter details the background material
in graph theory and network flows and each chapter concludes with
an extensive list of references.
The use of topological ideas to explore various aspects of graph
theory, and vice versa, is a fruitful area of research. There are
links with other areas of mathematics, such as design theory and
geometry, and increasingly with such areas as computer networks
where symmetry is an important feature. Other books cover portions
of the material here, but there are no other books with such a wide
scope. This book contains fifteen expository chapters written by
acknowledged international experts in the field. Their well-written
contributions have been carefully edited to enhance readability and
to standardize the chapter structure, terminology and notation
throughout the book. To help the reader, there is an extensive
introductory chapter that covers the basic background material in
graph theory and the topology of surfaces. Each chapter concludes
with an extensive list of references.
The rapidly expanding area of algebraic graph theory uses two
different branches of algebra to explore various aspects of graph
theory: linear algebra (for spectral theory) and group theory (for
studying graph symmetry). These areas have links with other areas
of mathematics, such as logic and harmonic analysis, and are
increasingly being used in such areas as computer networks where
symmetry is an important feature. Other books cover portions of
this material, but this book is unusual in covering both of these
aspects and there are no other books with such a wide scope. Peter
J. Cameron, internationally recognized for his substantial
contributions to the area, served as academic consultant for this
volume, and the result is ten expository chapters written by
acknowledged international experts in the field. Their well-written
contributions have been carefully edited to enhance readability and
to standardize the chapter structure, terminology and notation
throughout the book. To help the reader, there is an extensive
introductory chapter that covers the basic background material in
graph theory, linear algebra and group theory. Each chapter
concludes with an extensive list of references.
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