A Textbook of Graph Theory (Universitext) by R. Balakrishnan,K. Ranganathan

By R. Balakrishnan,K. Ranganathan

Graph thought skilled an incredible progress within the twentieth century. one of many major purposes for this phenomenon is the applicability of graph thought in different disciplines resembling physics, chemistry, psychology, sociology, and theoretical desktop technology. This textbook presents a superb heritage within the uncomplicated themes of graph concept, and is meant for a complicated undergraduate or starting graduate path in graph theory.
This moment variation contains new chapters: one on domination in graphs and the opposite at the spectral homes of graphs, the latter including a dialogue on graph energy.  The bankruptcy on graph shades has been enlarged, protecting extra subject matters equivalent to homomorphisms and hues and the individuality of the Mycielskian as much as isomorphism.  This ebook additionally introduces numerous attention-grabbing issues similar to Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem at the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's facts of Kuratowski's theorem on planar graphs, the facts of the nonhamiltonicity of the Tutte graph on forty six vertices, and a concrete software of triangulated graphs.

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