About this book
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 k-connected graphs, Harary-Nashwilliam’s theorem on the hamiltonicity of line graphs, Toida-McKee’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.
Table of contents (11 chapters)
Front Matter
Pages i-xii
Pages 1-35
Pages 37-47
Pages 49-71
Pages 73-95
Independent Sets and Matchings
Pages 97-115
Eulerian and Hamiltonian Graphs
Pages 117-142
Pages 143-174
Pages 175-205
Pages 207-220
Pages 221-239
Pages 241-273
Back Matter
Pages 275-292
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