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arxiv: 1503.05620 · v3 · pith:4R4PWJRXnew · submitted 2015-03-19 · 🧮 math.CO · math.AT

Higher chordality: From graphs to complexes

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keywords chordalitycomplexesfundamentalgeneralizehigherclassicalcontextdimensional
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We generalize the fundamental graph-theoretic notion of chordality for higher dimensional simplicial complexes by putting it into a proper context within homology theory. We generalize some of the classical results of graph chordality to this generality, including the fundamental relation to the Leray property and chordality theorems of Dirac.

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