Graphs, flags and partitions

نویسنده

  • Jonathan Fine
چکیده

This paper defines, for each graph G, a flag vector fG. The flag vectors of the graphs on n vertices span a space whose dimension is p(n), the number of partitions on n. The analogy with convex polytopes indicates that the linear inequalities satisfied by fG may be both interesting and accessible. Such would provide inequalities both sharp and subtle on the combinatorial structure of G. These may be related to Ramsey theory.

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تاریخ انتشار 1998