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Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
Author(s) -
Zongming Lv,
Muhammad Junaid Ali Junjua,
Muhammad Tajammal Tahir,
Khurram Shabbir
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/3697430
Subject(s) - graph , mathematics , combinatorics , type (biology) , degree (music) , discrete mathematics , physics , ecology , acoustics , biology
Elimination ideals are regarded as a special type of Borel type ideals, obtained from degree sequence of a graph, introduced by Anwar and Khalid. In this paper, we compute graphical degree stabilities of K n ∨ C m and K n ∗ C m by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mumford regularity of elimination ideals associated to these families of graphs.

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