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Powers of squarefree monomial ideals and combinatorics
[article]
2013
arXiv
pre-print
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
arXiv:1303.6642v1
fatcat:6idvqnv2nrfrfkou6b6yusmkgi