Hyperforests on the Complete Hypergraph by Grassmann Integral Representation

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dc.creatorBedini, Andrea
dc.creatorCaracciolo, Sergio
dc.creatorSportiello, Andrea
dc.date2008-02-11
dc.date.accessioned2026-07-07T11:40:15Z
dc.date.available2026-07-07T11:40:15Z
dc.descriptionWe 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 functions. We show that this new approach encodes the known results about the exponential generating functions for the different number of vertices. We consider also some applications as counting hyperforests in the k-uniform complete hypergraph and the one complete in hyperedges of all dimensions. Some general feature of the asymptotic regimes for large number of connected components is discussed.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0802.1506
dc.identifierhttp://arxiv.org/abs/0802.1506
dc.identifierJ.Phys.A41:205003,2008
dc.identifierdoi:10.1088/1751-8113/41/20/205003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200197
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectCombinatorics
dc.titleHyperforests on the Complete Hypergraph by Grassmann Integral Representation
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