Journal of Commutative Algebra

Powers of edge ideals of regularity three bipartite graphs

Ali Alilooee and Arindam Banerjee

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Abstract

In this paper, we prove that, if $I(G)$ is the edge ideal of a connected bipartite graph with regularity 3, then, for all $s\geq 2$, the regularity of $I(G)^s$ is exactly $2s+1$.

Article information

Source
J. Commut. Algebra, Volume 9, Number 4 (2017), 441-454.

Dates
First available in Project Euclid: 14 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.jca/1507946694

Digital Object Identifier
doi:10.1216/JCA-2017-9-4-441

Mathematical Reviews number (MathSciNet)
MR3713523

Zentralblatt MATH identifier
1372.05046

Subjects
Primary: 05C10: Planar graphs; geometric and topological aspects of graph theory [See also 57M15, 57M25] 13F55: Stanley-Reisner face rings; simplicial complexes [See also 55U10]

Keywords
Bipartite graphs Castelnuovo-Mumford regularity bipartite complement even-connected vertices

Citation

Alilooee, Ali; Banerjee, Arindam. Powers of edge ideals of regularity three bipartite graphs. J. Commut. Algebra 9 (2017), no. 4, 441--454. doi:10.1216/JCA-2017-9-4-441. https://projecteuclid.org/euclid.jca/1507946694


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