Higher chordality: From graphs to complexes

Karim A. Adiprasito; Eran Nevo; Jose A. Samper

doi:10.1090/proc/13002

Higher chordality: From graphs to complexes

Karim A. Adiprasito, Eran Nevo, Jose A. Samper

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3317-3329
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	8
DOIs	https://doi.org/10.1090/proc/13002
State	Published - 1 Jan 2016
Externally published	Yes

Keywords

Castelnuovo-Mumford regularity
Chordal graph
Leray property
Simplicial complex

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/13002

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title = "Higher chordality: From graphs to complexes",

abstract = "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.",

keywords = "Castelnuovo-Mumford regularity, Chordal graph, Leray property, Simplicial complex",

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T2 - From graphs to complexes

AU - Adiprasito, Karim A.

AU - Nevo, Eran

AU - Samper, Jose A.

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Y1 - 2016/1/1

N2 - 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.

AB - 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.

KW - Castelnuovo-Mumford regularity

KW - Chordal graph

KW - Leray property

KW - Simplicial complex

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DO - 10.1090/proc/13002

M3 - Article

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JF - Proceedings of the American Mathematical Society

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Higher chordality: From graphs to complexes

Abstract

Keywords

ASJC Scopus subject areas

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