A First Course in Graph Theory
A first course in graph theory / Gary Chartrand and Ping Zhang. p. cm. Previous edition published as: Introduction to graph theory. Boston : McGraw-Hill
A FIRST COURSE IN GRAPH THEORY - Gary Chartrand and Ping
Introduction to graph theory. III. Title. QA166.C455 2012. 511′.5—dc23. 2011038125. Manufactured in the United States by Courier
Graph Theory
In addition a general experience in mathematics. Course objectives. • The objective of the course is to introduce students with the fundamental concepts in
Introduction to Graph Theory
The first of these (Chapters 1-4) provides a basic foundation course containing definitions and examples of graphs
Solutions to A First Course in Graph Theory using Mathematica
The graphs in (b) are isomorphic: they are both a 5-path whose ends are joined through two different vertices. □ 3.4. Note first that all four graphs are of
A Simple Introduction to Graph Theory
isn't closed. Symbol : P. Formula for # of edges { n-1}. Page 13. Sources. A first course in Graph theory by Gary Chartrand & Ping Zhang. Page 14. Thank You.
An Introduction to Combinatorics and Graph Theory
We claim first that this (without the first row and column of course) is a Latin square with first two graphs in figure 4.4.2. 4.5 Matchings. Now we return ...
Graph Theory
The cycle of length 3 is also called a triangle triangle . • the path path Pn. Pn on n vertices as the (unlabeled) graph isomorphic to ([n]
UNIVERSITY OF CALICUT
[3] S. M. Cioaba and M.R. Murty: A First Course in Graph Theory and Combina- torics; Hindustan Book Agency; 2009. [4] J. A. Clalrk: A
Chromatic Graph Theory
25 Aug 2015 ... course in graph theory or a follow-up course to an elementary graph theory course. • a reading course on graph colorings
A First Course in Graph Theory - Gary Chartrand and Ping Zhang
This Dover edition first published in 2012
A FIRST COURSE IN GRAPH THEORY - Gary Chartrand and Ping
A first course in graph theory / Gary Chartrand and Ping Zhang. p. cm. Previous edition published as: Introduction to graph theory. Boston : McGraw-Hill Higher
a first course in graph theory - dokumen.pub
Chartrand Gary. A first course in graph theory / Gary Chartrand and Ping Zhang. p. cm. Previous edition published as: Introduction to
Introduction to Graph Theory
The first of these (Chapters 1-4) provides a basic foundation course containing definitions and examples of graphs
Graph Theory
In addition a general experience in mathematics. Course objectives. • The objective of the course is to introduce students with the fundamental concepts in
A first course in graph theory
A FIRST COURSE IN. GRAPH. THEORY. GARY CHARTRAND and. PING ZHANG. Western Michigan University Graphs and Graph Models ... Excursion: Graphs and Matrices.
Diestel Graph Theory (3rd edn)
Bollobás: it was in the course recorded by this text that I learnt my first graph theory as a student. Anyone who knows this book well will feel.
GRAPH THEORY WITH APPLICATIONS
This book is intended as an introduction to graph theory. The first step is to determine a vertex nearest to uo. ... (It is of course
A FIRST LOOK AT GRAPH THEORY
The book began in 1985 as a set of notes for a second year course of 40 one-hour lectures in the Department of Mathematics at the University of Otago. The
A First Course in Probability
A first course in probability / Sheldon Ross. — 8th ed. mathematics of probability theory but also
AFIRSTCOURSEIN
GRAPHTHEORY
GARYCHARTRAND
andPINGZHANG
Western
MichiganUniversity
DOVERPUBLICATIONS,INC.
Mineola,
NewYork
CONTENTS
1.Introduction
1.1.Graphsand
GraphModels
11.2.Connected
Graphs9
1.3.CommonClassesof
Graphs19
1.4.Multigraphs
andDigraphs26
2.Degrees
2.1.The
DegreeofaVertex
312.2.
RegularGraphs38
2.3.DegreeSequences43
2.4.Excursion:GraphsandMatrices
482.5.
Exploration:IrregularGraphs50
3.IsomorphicGraphs
3.1.TheDefinitionof
Isomorphism55
3.2.Isomorphism
asaRelation 633.3.Excursion:
Graphs
andGroups66
3.4.Excursion:Reconstructionand
Solvability76
4.Trees
4.1.Bridges85
4.2. Trees 874.3.TheMinimum
Spanning
TreeProblem
944.4.Excursion:TheNumberof
SpanningTrees100
5.Connectivity
5.1.Cut-Vertices
1075.2.Blocks111
5.3.Connectivity
1155.4.
Menger's
Theorem124
5.5.Exploration:
Powersand
EdgeLabelings
1306.
Traversability
6.1.EulerianGraphs133
6.2.HamiltonianGraphs140
6.3.Exploration:
HamiltonianWalks152
6.4.Excursion:
EarlyBooksof
GraphTheory156
viii 7.Digraphs
7.1.StrongDigraphs
1617.2.
Tournaments
1697.3.Excursion:Decision-Making
1767.4.
Exploration:
WineBottleProblems180
8.Matchings
andFactorization 8.1.Matchings
1838.2.Factorization
1948.3.Decompositions
andGracefulLabelings 2098.4.Excursion:Instant
Insanity
2148.5.Excursion:ThePetersenGraph
2208.6.
Exploration:
Bi-GracefulGraphs
2249.
Planar
ity9.1.PlanarGraphs
2279.2.
EmbeddingGraphsonSurfaces
2419.3.Excursion:Graph
Minors249
9.4.Exploration:EmbeddingGraphs
inGraphs
25310.
ColoringGraphs
10.1.TheFourColorProblem
25910.2.Vertex
Coloring
26710.3.
EdgeColoring
28110.4.Excursion:TheHeawoodMapColoring
Theorem289
10.5.Exploration:
Modular
Coloring
29411.
Ramsey
Numbers
11.1.TheRamseyNumberof
Graphs
29711.2.Turan'sTheorem
30711.3.Exploration:ModifiedRamsey
Numbers314
11.4.Excursion:ErdosNumbers
32112.Distance
12.1.TheCenterofaGraph
32712.2.DistantVertices
33312.3.Excursion:Locating
Numbers
34112.5.
Exploration:
Channel
Assignment
35112.6.
Exploration:
DistanceBetweenGraphs
356ix
13.Domination
13.1.TheDominationNumberofa
Graph361
13.2.Exploration:Stratification
37213.3.
Exploration:LightsOut377
Appendix
1.Setsand
Logic383
Appendix
2.EquivalenceRelationsandFunctions388
Appendix
3.MethodsofProof392
Solutions
andHintsforOdd-NumberedExercises399References
427IndexofNames
438IndexofMathematicalTerms441
Listof
Symbols448
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