首页 | 本学科首页   官方微博 | 高级检索  
     


4-chromatic edge critical Grötzsch-Sachs graphs
Authors:A.A. Dobrynin,L.S. Mel&rsquo  nikov
Affiliation:Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia
Abstract:Let G be a 4-regular plane graph and suppose that G has a cycle decomposition S (i.e., each edge of G is in exactly one cycle of the decomposition) with every pair of adjacent edges on a face always in different cycles of S. Such a graph G arises as a superposition of simple closed curves in the plane with tangencies disallowed. Two 4-chromatic edge critical graphs of order 48 generated by four curves are presented.
Keywords:Planar graphs   Vertex coloring   Chromatic number   4-critical graphs   Grö  tzsch-Sachs graphs
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号