Ja n 20 09 Poincaré series of some hypergraph algebras

Abstract

A hypergraph H = (V, E), where V = {x1, . . . , xn} and E ⊆ 2 V defines a hypergraph algebra RH = k[x1, . . . , xn]/(xi1 · · ·xik ; {i1, . . . , ik} ∈ E). All our hypergraphs are d-uniform, i.e., |ei| = d for all ei ∈ E. We determine the Poincaré series PRH (t) = P ∞ i=1 dimk Tor RH i (k, k)t for some hypergraphs generalizing lines, cycles, and stars. We finish by calculating the graded Betti numbers and the Poincaré series of the graph algebra of the wheel graph.

Cite this paper

@inproceedings{Emtander2009JaN2, title={Ja n 20 09 Poincar{\'e} series of some hypergraph algebras}, author={E . Emtander and Farajollah Mohammadi and Sirous Moradi}, year={2009} }