Powers of squarefree monomial ideals and combinatorics

Autor:	Francisco, Christopher A., Ha, Huy Tai, Mermin, Jeffrey
Rok vydání:	2013
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics 13F55 05C17 05E40
Zdroj:	In Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday, I. Peeva (ed.), 2013, pp. 373-392
Druh dokumentu:	Working Paper
Popis:	We survey research relating algebraic properties of powers of squarefree monomial ideals to combinatorial structures. In particular, we describe how to detect important properties of (hyper)graphs by solving ideal membership problems and computing associated primes. This work leads to algebraic characterizations of perfect graphs independent of the Strong Perfect Graph Theorem. In addition, we discuss the equivalence between the Conforti-Cornuejols conjecture from linear programming and the question of when symbolic and ordinary powers of squarefree monomial ideals coincide. Comment: 18 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.6642 Zobrazit plný text záznamu View this record from Arxiv