Grassmann Integral Representation for Spanning Hyperforests

Details Grassmann Integral Representation for Spanning Hyperforests Grassmann Integral Representation for Spanning Hyperforests

2007-06-11

arxiv.org/abs/0706.1509v2

J.Phys.A40:13799-13835,2007

Physics

Mathematical Physics

50 pages, it uses some latex macros. Accepted for publication on J. Phys. A

Scientific paper

10.1088/1751-8113/40/46/001

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. Special cases provide the generating functions for rooted and unrooted spanning (hyper)forests and spanning (hyper)trees. All these results are generalizations of Kirchhoff's matrix-tree theorem. Furthermore, we show that the class of integrals describing unrooted spanning (hyper)forests is induced by a theory with an underlying OSP(1|2) supersymmetry.

Affiliated with

Also associated with

No associations

Rating

Grassmann Integral Representation for Spanning Hyperforests does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Grassmann Integral Representation for Spanning Hyperforests, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Grassmann Integral Representation for Spanning Hyperforests will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179661