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On the extremal Betti numbers of the binomial edge ideal of closed graphs
Author(s) -
de Alba Hernán,
Hoang Do Trong
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700292
Subject(s) - betti number , mathematics , ideal (ethics) , combinatorics , binomial (polynomial) , discrete mathematics , statistics , philosophy , epistemology
We study the equality of the extremal Betti numbers of the binomial edge ideal J G and those of its initial idealin ( J G ) for a closed graph G . We prove that in some cases there is a unique extremal Betti number forin ( J G ) and as a consequence there is a unique extremal Betti number for J G and these extremal Betti numbers are equal.
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