Chromatic polynomials and chromaticity of graphs / F.M. Dong, K.M. Koh and K.L. Teo.

Format:

Book

Author/Creator:

Dong, F. M., 1962-

Contributor:

Koh, K. M. (Khee Meng), 1944-

Teo, K. L.

Language:

English

Subjects (All):

Graph coloring.

Graph theory.

Polynomials.

Physical Description:

1 online resource (386 p.)

Edition:

1st ed.

Place of Publication:

New Jersey ; Hong Kong : World Scientific Pub., 2005.

Language Note:

English

Summary:

This is the first book to comprehensively cover chromatic polynomialsof graphs. It includes most of the known results and unsolved problemsin the area of chromatic polynomials. Dividing the book into threemain parts, the authors take readers from the rudiments of chromaticpolynomials to more complex topics: the chromatic equivalence classesof graphs and the zeros and inequalities of chromatic polynomials.

Contents:

Preface; Contents; Basic Concepts in Graph Theory; Notation; Chapter 1 The Number of -Colourings and Its Enumerations; Chapter 2 Chromatic Polynomials; Chapter 3 Chromatic Equivalence of Graphs; Chapter 4 Chromaticity of Multi-Partite Graphs; Chapter 5 Chromaticity of Subdivisions of Graphs; Chapter 6 Graphs in Which any Two Colour Classes Induce a Tree (I); Chapter 7 Graphs in Which any Two Colour Classes Induce a Tree (II); Chapter 8 Graphs in Which All but One Pair of Colour Classes Induce Trees (I); Chapter 9 Graphs in Which All but One Pair of Colour Classes Induce Trees (II)

Chapter 10 Chromaticity of Extremal 3-Colourable GraphsChapter 11 Polynomials Related to Chromatic Polynomials; Chapter 12 Real Roots of Chromatic Polynomials; Chapter 13 Integral Roots of Chromatic Polynomials; Chapter 14 Complex Roots of Chromatic Polynomials; Chapter 15 Inequalities on Chromatic Polynomials; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 327-352) and index.

ISBN:

9786611881092

9781281881090

1281881090

9789812569462

9812569464

OCLC:

475976231