By R. Balakrishnan,K. Ranganathan
Graph concept skilled an incredible progress within the twentieth century. one of many major purposes for this phenomenon is the applicability of graph idea in different disciplines reminiscent of physics, chemistry, psychology, sociology, and theoretical desktop technological know-how. This textbook offers a high-quality history within the easy issues of graph concept, and is meant for a complicated 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 houses of graphs, the latter including a dialogue on graph energy. The bankruptcy on graph hues has been enlarged, masking extra subject matters akin to homomorphisms and shades and the distinctiveness of the Mycielskian as much as isomorphism. This e-book additionally introduces a number of attention-grabbing subject matters 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 evidence of the nonhamiltonicity of the Tutte graph on forty six vertices, and a concrete program of triangulated graphs.
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