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 conception in different disciplines reminiscent of physics, chemistry, psychology, sociology, and theoretical machine technology. This textbook presents a fantastic heritage within the simple subject matters of graph conception, and is meant for a sophisticated 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 houses of graphs, the latter including a dialogue on graph energy.  The bankruptcy on graph hues has been enlarged, overlaying extra subject matters corresponding to homomorphisms and colours and the individuality of the Mycielskian as much as isomorphism.  This publication additionally introduces numerous fascinating themes corresponding 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 evidence 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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