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math.ACJul 22, 2004
8
citations (OpenAlex)
authors
  • Juergen Herzog
  • Takayuki Hibi
  • Xinxian Zheng
institutions
  • The University of Osaka
  • University of Duisburg-Essen
arXiv abstractPDF
paper

Cohen-Macaulay chordal graphs

arXiv:math/0407375

Abstract

We classify all Cohen-Macaulay chordal graphs. In particular. it is shown that a chordal graph is Cohen-Macaulay if and only if its unmixed.

References in corpus (2)

  • Dirac's theorem on chordal graphs and Alexander duality
  • Distributive Lattices, Bipartite Graphs and Alexander Duality

Cited by in corpus (2)

  • Splittable ideals and the resolutions of monomial ideals
  • On the linear strand of an edge ideal
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