On the cover ideals of chordal graphs

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Turkish Journal of Mathematics
Volume:43 Issue:5
On the cover ideals of chordal graphs

On the cover ideals of chordal graphs

Authors : Nursel EREY

Pages : 2405-2414

View : 10 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The independence complex of a chordal graph is known to be shellable which is equivalent to the fact that cover ideal of a chordal graph has linear quotients. We use this result to obtain recursive formulas for the Betti numbers of cover ideals of chordal graphs. Moreover, we give a new proof of such result which yields different shellings of the independence complex.
Keywords : Chordal graph, cover ideal, shellable, linear quotients, Betti numbers

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