Hyperarbres, arbres enracinés et partitions pointées

Details Hyperarbres, arbres enracinés et partitions pointées Hyperarbres, arbres enracinés et partitions pointées

2006-04-25

arxiv.org/abs/math/0604525v1

Homology, Homotopy and Applications 9, 1 (2007) 193-212

Mathematics

Quantum Algebra

19 pages, francais

Scientific paper

We compute the characteristic polynomials of the posets of hypertrees. We show that the generating series of the polynomials can be expressed using cyclic hypertrees. We also propose a conjecture on the action of the symmetric groups on the homology of these posets. On the other hand, we show that Vallette's poset of pointed partitions is homotopy equivalent to Pitman's poset of forests. The implicit common thema of the article is the combinatorics of the PreLie operad.

Affiliated with

Also associated with

No associations

Rating

Hyperarbres, arbres enracinés et partitions pointées 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 Hyperarbres, arbres enracinés et partitions pointées, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperarbres, arbres enracinés et partitions pointées will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-433469