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.
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