Description 
1 online resource 
Series 
Universitext 

Universitext.

Contents 
Basic Results  Directed Graphs  Connectivity  Trees  Independent Sets and Matchings  Eulerian and Hamiltonian Graphs  Graph Colorings  Planarity  Triangulated Graphs  Domination in Graphs  Spectral Properties of Graphs 
Summary 
Graph theory experienced a tremendous growth in the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This textbook provides a solid background in the basic topics of graph theory, and is intended for an advanced undergraduate or beginning graduate course in graph theory. ¡ This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter¡including a discussion on graph energy.¡ The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism.¡ This book also introduces several interesting topics such as Dirac's theorem on kconnected graphs, HararyNashwilliam's theorem on the hamiltonicity of line graphs, ToidaMcKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Graph theory.


Graph theory.

Form 
Electronic book

Author 
Ranganathan, K.

ISBN 
9781461445296 

1461445299 
