Umbral Calculus, Binomial Enumeration and Chromatic Polynomials

DOI10.2307/2001165zbMath0666.05008OpenAlexW4235670552MaRDI QIDQ3818320

Nigel Ray

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001165

zbMATH Keywords

umbral calculuszeta-functionbinomial enumerationincidence algebraMoebius-functiontype-functionpartition category

Mathematics Subject Classification ID

Partial orders, general (06A06) Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Coloring of graphs and hypergraphs (05C15)

Related Items (4)

A bibliography on chromatic polynomials ⋮ Umbral interpolation and the addition/contraction tree for graphs ⋮ Gončarov polynomials in partition lattices and exponential families ⋮ Symmetric functions, formal group laws, and Lazard's theorem

Cites Work

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• Extensions of umbral calculus: Penumbral coalgebras and generalized Bernoulli numbers
• Plethysm, categories and combinatorics
• Categories de Möbius et fonctorialites: un cadre général pour l'inversion de Möbius
• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• Une théorie combinatoire des séries formelles
• A local method in group cohomology
• Principles of combinatorics
• Coalgebras and Bialgebras in Combinatorics
• Binomial Enumeration on Dissects
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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