THE COMPLEMENT OF A D-TREE IS PURE SHELLABLE

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MAHMOUDI M.; MOUSIVAND A.; TEHRANIAN A.

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2010 | Volume:36 | Issue:1 Page(s): 251-256

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Title

THE COMPLEMENT OF A D-TREE IS PURE SHELLABLE

Author(s)

MAHMOUDI M. | MOUSIVAND A. | TEHRANIAN A. | Issue Writer Certificate

Keywords

COHEN-MACAULAY RING

STANLEY-REISNER IDEAL

PURE SHELLABLE COMPLEX

D-TREE

Abstract

Let G be a simple undirected graph and let Delta(G) be a simplicial complex whose faces correspond to the independent sets of G. A graph G is called shellable if Delta(G) is a shellable simplicial complex. We prove that the complement of a d-tree is a pure shellable graph. This generalizes a recent result of Ferrarello who used a theorem due to R. Froberg to prove that the complement of a d-tree is a Cohen-Macaulay graph.

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APA: Copy

MAHMOUDI, M., MOUSIVAND, A., & TEHRANIAN, A.. (2010). THE COMPLEMENT OF A D-TREE IS PURE SHELLABLE. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(1), 251-256. SID. https://sid.ir/paper/571972/en

Vancouver: Copy

MAHMOUDI M., MOUSIVAND A., TEHRANIAN A.. THE COMPLEMENT OF A D-TREE IS PURE SHELLABLE. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(1):251-256. Available from: https://sid.ir/paper/571972/en

IEEE: Copy

M. MAHMOUDI, A. MOUSIVAND, and A. TEHRANIAN, “THE COMPLEMENT OF A D-TREE IS PURE SHELLABLE,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 1, pp. 251–256, 2010, [Online]. Available: https://sid.ir/paper/571972/en

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