English

"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs

Combinatorics 2016-03-16 v1 Commutative Algebra

Abstract

In this paper we study a filtered "K-theoretical" analog of a graded algebra associated to any loopless graph G which was introduced in \cite{PS}. We show that two such filtered algebras are isomorphic if and only if their graphs are isomorphic. We also study a large family of filtered generalizations of the latter graded algebra which includes the above "K-theoretical" analog.

Keywords

Cite

@article{arxiv.1603.04654,
  title  = {"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs},
  author = {G. Nenashev and B. Shapiro},
  journal= {arXiv preprint arXiv:1603.04654},
  year   = {2016}
}

Comments

13 pages, 2 figures