Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1906-103
Keywords
Chordal graph, cover ideal, shellable, linear quotients, Betti numbers
First Page
2405
Last Page
2414
Recommended Citation
EREY, NURSEL
(2019)
"On the cover ideals of chordal graphs,"
Turkish Journal of Mathematics: Vol. 43:
No.
5, Article 28.
https://doi.org/10.3906/mat-1906-103
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss5/28
