By R. Balakrishnan,K. Ranganathan
Graph thought skilled a big development within the twentieth century. one of many major purposes for this phenomenon is the applicability of graph idea in different disciplines akin to physics, chemistry, psychology, sociology, and theoretical machine technological know-how. This textbook offers a fantastic heritage within the easy themes of graph conception, and is meant for a sophisticated undergraduate or starting graduate path in graph theory.
This moment variation comprises 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 hues has been enlarged, protecting extra issues akin to homomorphisms and hues and the individuality of the Mycielskian as much as isomorphism. This booklet additionally introduces numerous attention-grabbing issues akin 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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