Dirac's theorem on chordal graphs and Alexander duality

Abstract

By using Alexander duality on simplicial complexes we give a new and algebraic proof of Dirac's theorem on chordal graphs.

References in corpus (1)

• Monomial ideals whose powers have a linear resolution

Cited by in corpus (6)

• Minimal monomial ideals and linear resolutions
• Cohen-Macaulay chordal graphs
• Level rings arising from meet-distributive meet-semilattices
• Simplicial Trees are Sequentially Cohen-Macaulay
• Monomial ideals arising from distributive lattices
• Regularity and projective dimension of edge ideal of $C_5$-free vertex decomposable graphs