03694cam a2200409Ii 4500001001500000003000800015005001700023006001900040007000700059008004100066020003200107040003100139090002100170092001600191245021000207250002000417264003700437264001100474300003900485336002000524337002200544338003100566490004500597504005000642505039300692520172101085530003502806650004202841655002702883700004702910700004002957700002502997776004403022830004603066856015503112999001703267CAH0KE13917PDFFlBoTFG20171224123351.0m|||||o||d||||||||cr||||131227t20142014fluacd  obf   001 0 eng d  a9781439880197 (ebook : PDF)  aFlBoTFGbengcFlBoTFGerda  aQA166b.H36 2014  a511.5bH23600aHandbook of graph theory /cedited by Jonathan L. Gross, Columbia University, New York, USA, Jay Yellen, Rollins College, Winter Park, Florida, USA, Ping Zhang, Western Michigan University, Kalamazoo, USA.  aSecond edition. 1aBoca Raton :bCRC Press,c[2014] 4c�201  a1 online resource :btext file, PD  atext2rdaconten  acomputer2rdamedi  aonline resource2rdacarrie  aDiscrete mathematics and its application  aIncludes bibliographical references and index  a1. Introduction to graphs -- 2. Graph representation -- 3. Directed graphs -- 4. Connectivity and traversability -- 5. Colorings and related topics -- 6. Algebraic graph theory -- 7. Topological graph theory -- 8. Analytic graph theory -- 9. Graphical measurement -- 10. Graphs in computer science -- 11. Networks and flows -- 12. Communication networks -- 13. Natural science & processes  a"Over the past fifty years, graph theory has been one of the most rapidly growing areas of mathematics. Since 1960, more than 10,000 di erent authors have published papers classi ed as graph theory by Math Reviews, and for the past decade, more than 1000 graph theory papers have been published each year. Not surprisingly, this Second Edition is about 450 pages longer than the First Edition, which appeared in 2004. This Handbook is intended to provide as comprehensive a view of graph theory as is feasible in a single volume. Many of our chapters survey areas that have large research communities, with hundreds of active mathematicians, and which could be developed into independent handbooks. The 89 contributors to this volume, 31 of whom are new to this edition, collectively represent perhaps as much as 90% or more of the main topics in pure and applied graph theory. Thirteen of the sections in the Second Edition cover newer topics that did not appear in the First Edition. Format In order to achieve this kind of comprehensiveness, we challenged our contributors to restrict their expository prose to a bare minimum, by adhering to the ready-reference style of the CRC Handbook series, which emphasizes quick accessibility for the non- expert. We thank the contributors for responding so well to this challenge. The 13 chapters of the Handbook are organized into 65 sections. Within each section, several major topics are presented. For each topic, there are lists of the essential de nitions and facts, accompanied by examples, tables, remarks, and in some cases, conjectures and open problems. Each section ends with a bibliography of references tied directly to that section"--cProvided by publisher  aAlso available in print format  aGraph theoryvHandbooks, manuals, etc  aElectronic books.2lcs  aGross, Jonathan L.,eeditor of compilation  aYellen, Jay,eeditor of compilation  aZhang, Ping,eeditor  iPrint version:z9781439880180 (hardback  aDiscrete mathematics and its applications  uhttp://marc.crcnetbase.com/isbn/9781439880197qapplication/PDFzDistributed by publisher. Purchase or institutional license may be required for access  c14809d14809