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Author : D. A. Holton,J. Sheehan
Publisher : Cambridge University Press
Page : 367 pages
File Size : 47,5 Mb
Release : 1993-04-22
Category : Mathematics
ISBN : 9780521435949
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
Author : L.D. Andersen,J. Bang-Jensen,T.R. Jensen,L.K. Jørgensen,G. Sabidussi,C. Thomassen,B. Toft,P.D. Vestergaard
Publisher : Elsevier
Page : 128 pages
File Size : 48,7 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483296326
Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today. The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper. It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper. The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.
Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 44,6 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.
Author : Nora Hartsfield,Gerhard Ringel
Publisher : Courier Corporation
Page : 272 pages
File Size : 52,7 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486315522
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.
Author : Alexander Schrijver
Publisher : Springer Science & Business Media
Page : 2024 pages
File Size : 53,5 Mb
Release : 2003-02-12
Category : Business & Economics
ISBN : 3540443894
From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum
Author : Gary Chartrand,Ping Zhang
Publisher : CRC Press
Page : 450 pages
File Size : 44,9 Mb
Release : 2019-11-28
Category : Mathematics
ISBN : 9780429798276
With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition
Author : Ted Dobson,Aleksander Malnič,Dragan Marušič
Publisher : Cambridge University Press
Page : 527 pages
File Size : 50,5 Mb
Release : 2022-05-12
Category : Language Arts & Disciplines
ISBN : 9781108429061
The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.
Author : W. T. Tutte
Publisher : Cambridge University Press
Page : 364 pages
File Size : 43,8 Mb
Release : 2001-01-29
Category : Mathematics
ISBN : 0521794897
A classic reference for students and researchers in graph theory and its applications.
Author : Manoj Changat,Sandip Das
Publisher : Springer Nature
Page : 497 pages
File Size : 41,7 Mb
Release : 2020-01-25
Category : Mathematics
ISBN : 9783030392192
This book constitutes the proceedings of the 6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020, held in Hyderabad, India, in February 2020. The 38 papers presented together with 2 invited talks in this volume were carefully reviewed and selected from 102 submissions. The papers are organized in topical sections on graph algorithms, graph theory, combinatorial optimization, distributed algorithms, combinatorial algorithms, and computational complexity.
Author : Josef Lauri,Raffaele Scapellato
Publisher : Cambridge University Press
Page : 176 pages
File Size : 51,8 Mb
Release : 2003-03-17
Category : Mathematics
ISBN : 0521529034
The aim of this book is to provide in depth coverage of selected areas of graph theory, and throughout the focus is mainly on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters, more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The four final chapters are devoted to the reconstruction problem, and here greater emphasis is given to those results that involve the symmetry of graphs. As much as possible, the authors have tried to present results and proofs which are not often to be found in textbooks. Any student who has mastered the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.
Author : Chris Godsil,Gordon F. Royle
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 47,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461301639
This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
Author : David W. Farmer,Theodore B. Stanford
Publisher : American Mathematical Soc.
Page : 116 pages
File Size : 50,9 Mb
Release : 2024-06-01
Category : Mathematics
ISBN : 0821872656
In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Author : Allan Bickle
Publisher : American Mathematical Soc.
Page : 336 pages
File Size : 55,7 Mb
Release : 2020-03-10
Category : Education
ISBN : 9781470453428
Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.
Author : Cun-Quan Zhang
Publisher : CRC Press
Page : 402 pages
File Size : 55,5 Mb
Release : 1997-01-02
Category : Mathematics
ISBN : 0824797906
Focuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results.
Author : Ronald L. Graham,Martin Grötschel,László Lovász
Publisher : Elsevier
Page : 1124 pages
File Size : 52,8 Mb
Release : 1995-12-11
Category : Business & Economics
ISBN : 0444823468
Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.