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Cohen-Macaulay edge ideal whose height is half of the number of vertices

Published online by Cambridge University Press:  11 January 2016

Marilena Crupi ,
Giancarlo Rinaldo  and
Naoki Terai
Marilena Crupi
Affiliation:
Dipartimento di Matematica Università di Messina, 98166 Messina, Italy, mcrupi@unime.it
Giancarlo Rinaldo
Affiliation:
Dipartimento di Matematica Università di Messina, 98166 Messina, Italy, rinaldo@dipmat.unime.it
Naoki Terai
Affiliation:
Department of Mathematics Faculty of Culture and Education Saga University, Saga 840-8502, Japan, terai@cc.saga-u.ac.jp
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Abstract

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We consider a class of graphs G such that the height of the edge ideal I(G) is half of the number #V(G) of the vertices. We give Cohen-Macaulay criteria for such graphs.

Keywords

05C7505C9013H1055U10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 201 , March 2011 , pp. 117 - 131
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

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