From: ariskin@mps.org Newsgroups: sci.math Subject: Re: perfect graphs Date: Mon, 26 Jan 1998 16:26:22 -0600 In article <885764201.567148545@dejanews.com>, sjmunn@stthomas.edu wrote: > > I need a definition of a perfect graph. Replies can be sent to my email > address or posted to this group. Any information would be appreciated. > Thank you. > The __clique number__ of a graph G, denoted omega(G), is the maximum order among the complete subgraphs of G. The __chromatic number__ of g, denoted chi(G), is the minimum number of colors to properly color G. A graph G is __perfect__ provided that omega(H)=chi(H) for each induced subgraph H of G. From Chartrand and Lesniak. HTH Adrian