Regularity of powers of edge ideals of product of graphs
2018 ◽
Vol 17
(07)
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pp. 1850128
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In this paper, we study the Castelnuovo–Mumford regularity of powers of edge ideals of product of graphs. We find new upper bounds for [Formula: see text] for various classes of graphs [Formula: see text] and [Formula: see text], where [Formula: see text] denotes the product of [Formula: see text] and [Formula: see text], and [Formula: see text] denote the corresponding edge ideal. Using this result, we explicitly compute [Formula: see text] for several classes of graphs [Formula: see text] and [Formula: see text]. In particular, we also explicitly compute the regularity of powers of wheel graphs.
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2012 ◽
Vol 49
(4)
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pp. 501-508
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2019 ◽
Vol 18
(10)
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pp. 1950184
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2016 ◽
Vol 17
◽
pp. 10-16
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2019 ◽
Vol 30
(01)
◽
pp. 125-139
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2019 ◽
Vol 19
(10)
◽
pp. 2050184
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