Hyperforests on the Complete Hypergraph by Grassmann Integral Representation

Details Hyperforests on the Complete Hypergraph by Grassmann Integral Representation Hyperforests on the Complete Hypergraph by Grassmann Integral Representation

2008-02-11

arxiv.org/abs/0802.1506v1

J.Phys.A41:205003,2008

Physics

Mathematical Physics

35 pages

Scientific paper

10.1088/1751-8113/41/20/205003

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 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.

Affiliated with

Also associated with

No associations

Rating

Hyperforests on the Complete Hypergraph by Grassmann Integral Representation 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 Hyperforests on the Complete Hypergraph by Grassmann Integral Representation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperforests on the Complete Hypergraph by Grassmann Integral Representation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625786