Graphs, flags and partitions

dc.creatorFine, Jonathan
dc.date1998-09-17
dc.date.accessioned2026-07-07T05:26:03Z
dc.date.available2026-07-07T05:26:03Z
dc.descriptionThis 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.
dc.description12 pages, LaTeX 2e, no figures
dc.identifierhttps://arxiv.org/abs/math/9809092
dc.identifierhttp://arxiv.org/abs/math/9809092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77409
dc.subjectCombinatorics
dc.subject05C;52B05
dc.titleGraphs, flags and partitions
dc.typetext

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