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math-ph2008★ 5 cited
Hyperforests on the Complete Hypergraph by Grassmann Integral Representation
Andrea Bedini, Sergio Caracciolo, Andrea Sportiello
We study the generating function of rooted and unrooted hyperforests in a general complete hypergraph with n vertices by using a novel Grassmann representation of their generating…
math-ph2007★ 29 cited
Grassmann Integral Representation for Spanning Hyperforests
Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello
Given a hypergraph G, we introduce a Grassmann algebra over the vertex set, and show that a class of Grassmann integrals permits an expansion in terms of spanning hyperforests. Spe…