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By Caroline J. Klivans, Kathryn L. Nyman and Bridget E. Tenner


We study degree sequences for simplicial and cubical posets, generalizing the well studied graphical degree sequences. Here we extend the more common generalization of vertex-to-facet degree sequences, by considering arbitrary face-to-flag and flag-to-flag degree sequences. In particular, these may be viewed as natural refinements of the flag f-vector of the poset. We investigate properties and relations of these generalized degree sequences, proving linear relations between flag degree sequences in terms of the composition of rank jumps of the flag

Year: 2008
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