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- W172660714 abstract "The Bell number B(G) of a simple graph G is the number of partitions of its vertex set whose blocks are independent sets of G. The number of these partitions with k blocks is the (graphical) Stirling number S(G,k) of G. We explore integer sequences of Bell numbers for various one-parameter families of graphs, generalizations of the relation B(Pn) = B(En 1) for path and edgeless graphs, one-parameter graph families whose Bell number sequences are quasigeometric, and relations among the polynomial A(G,�) = P S(G,k)� k , the chromatic polynomial and the Tutte polynomial, and some implications of these relations." @default.
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- W172660714 date "2009-01-01" @default.
- W172660714 modified "2023-09-24" @default.
- W172660714 title "Bell and Stirling Numbers for Graphs" @default.
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