000			01829nam a22002295i 4500
003			DE-He213
005			20210120180437.0
008			120920s2012 xxu| s |||| 0|eng d
020			_a9781461445289
040			_cKE-MeUCS _dKE-MeUCS
050		4	_aQA166.B3 2012
100	1		_aBalakrishnan, R.
245	1	2	_aA Textbook of Graph Theory _cby R. Balakrishnan, K. Ranganathan.
250			_a2nd ed. 2012.
260			_aNew York _bSpringer _c2012
300			_axiii, 292p. ill.
490	1		_aUniversitext
520			_aGraph theory experienced a tremendous growth in the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This textbook provides a solid background in the basic topics of graph theory, and is intended for an advanced undergraduate or beginning graduate course in graph theory. � 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. 0
650			_aGraph theory
650			_aCombinatorial analysis _91794
942			_2lcc _cBK _tRG
999			_c86880 _d86879