000			a
999			_c33168 _d33168
008			240427b xxu||||| |||| 00| 0 eng d
020			_a9781470453428 _chbk
082			_a511.5 _bBIC
100			_aBickle, Allan
245			_aFundamentals of graph theory
260			_bAmerican Mathematical Society, _c2020 _aProvidence :
300			_a xv, 336 p.; _bill., _c26 cm
365			_b85.00 _c$ _d86.30
490			_aPure and applied undergraduate texts
504			_aIncludes bibliographical references and index.
520			_aGraph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.
650			_aBrute force solution
650			_aChromatic number
650			_aPlanar graph
650			_aPetersen graph
650			_aK-degenerate
650			_aHamiltonian cycle
650			_aDegree sequence
650			_aCubic graphs
650			_aConnected graph
942			_2ddc _cBK