BOUNDS FOR THE REGULARITY OF EDGE IDEAL OF VERTEX DECOMPOSABLE AND SHELLABLE GRAPHS

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MORADI S.; KIANI D.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2010 | Volume:36 | Issue:2 Page(s): 267-277

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Title

BOUNDS FOR THE REGULARITY OF EDGE IDEAL OF VERTEX DECOMPOSABLE AND SHELLABLE GRAPHS

Author(s)

MORADI S. | KIANI D. | Issue Writer Certificate

Keywords

EDGE IDEALS

VERTEX DECOMPOSABLE

SHELLABLE COMPLEX

CASTELNUOVO-MUMFORD REGULARITY

PROJECTIVE DIMENSION

Abstract

We give upper bounds for the regularity of edge ideal of some classes of graphs in terms of invariants of graph. We introduce two numbers a’ (G) and n (G) depending on graph G and show that for a VERTEX DECOMPOSABLE graphG, reg (R/I (G)) £ min{a’ (G), n (G)} and for a shellable graph G, reg (R/I (G))£n (G). Moreover, it is shown that for a graphG, where Gc is a d-tree, we have pd (R/I (G)) =maxvÎV (G) {degG (v)}.

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APA: Copy

MORADI, S., & KIANI, D.. (2010). BOUNDS FOR THE REGULARITY OF EDGE IDEAL OF VERTEX DECOMPOSABLE AND SHELLABLE GRAPHS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(2), 267-277. SID. https://sid.ir/paper/627913/en

Vancouver: Copy

MORADI S., KIANI D.. BOUNDS FOR THE REGULARITY OF EDGE IDEAL OF VERTEX DECOMPOSABLE AND SHELLABLE GRAPHS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(2):267-277. Available from: https://sid.ir/paper/627913/en

IEEE: Copy

S. MORADI, and D. KIANI, “BOUNDS FOR THE REGULARITY OF EDGE IDEAL OF VERTEX DECOMPOSABLE AND SHELLABLE GRAPHS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 2, pp. 267–277, 2010, [Online]. Available: https://sid.ir/paper/627913/en

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