A generalization of Eagon–Reiner's theorem and a characterization of bi-CMt bipartite and chordal graphs. Issue 9 (2nd September 2018)

• Record Type: Journal Article
• Authors: Haghighi, Hassan; Fakhari, Seyed Amin Seyed; Yassemi, Siamak; Zaare-Nahandi, Rahim
• Is Part Of: Communications in algebra. Volume 46:Issue 9(2018)
• Page Start: 3889
• Page End: 3898
• Publication Date: 2018-09-02
• Subjects: Bipartite graph -- chordal graph -- Cohen–Macaulay complex -- CMt complex -- Eagon–Reiner theorem; 13H10 -- 13F55; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2018.1427244
• Languages: English
• ISSNs: 0092-7872

Abstract

ABSTRACT: We give a generalization of Eagon-Reiner's theorem relating Betti numbers of the Stanley-Reisner ideal of a simplicial complex and the CM t property of its Alexander dual. Then we characterize bi-CM t bipartite graphs and bi-CM t chordal graphs. These are generalizations of recent results due to Herzog and Rahimi.