Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs

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 Kn∨Cm and Kn∗Cm by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mu...

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Autores principales:	Zongming Lv, Muhammad Junaid Ali Junjua, Muhammad Tajammal Tahir, Khurram Shabbir
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9ec0001d839c4244b84b6b48a182057f
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spelling	oai:doaj.org-article:9ec0001d839c4244b84b6b48a182057f2021-11-08T02:36:36ZCertain Bounds of Regularity of Elimination Ideals on Operations of Graphs1563-514710.1155/2021/3697430https://doaj.org/article/9ec0001d839c4244b84b6b48a182057f2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/3697430https://doaj.org/toc/1563-5147Elimination 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 Kn∨Cm and Kn∗Cm by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mumford regularity of elimination ideals associated to these families of graphs.Zongming LvMuhammad Junaid Ali JunjuaMuhammad Tajammal TahirKhurram ShabbirHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Zongming Lv Muhammad Junaid Ali Junjua Muhammad Tajammal Tahir Khurram Shabbir Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
description	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 Kn∨Cm and Kn∗Cm by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mumford regularity of elimination ideals associated to these families of graphs.
format	article
author	Zongming Lv Muhammad Junaid Ali Junjua Muhammad Tajammal Tahir Khurram Shabbir
author_facet	Zongming Lv Muhammad Junaid Ali Junjua Muhammad Tajammal Tahir Khurram Shabbir
author_sort	Zongming Lv
title	Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
title_short	Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
title_full	Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
title_fullStr	Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
title_full_unstemmed	Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs
title_sort	certain bounds of regularity of elimination ideals on operations of graphs
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/9ec0001d839c4244b84b6b48a182057f
work_keys_str_mv	AT zongminglv certainboundsofregularityofeliminationidealsonoperationsofgraphs AT muhammadjunaidalijunjua certainboundsofregularityofeliminationidealsonoperationsofgraphs AT muhammadtajammaltahir certainboundsofregularityofeliminationidealsonoperationsofgraphs AT khurramshabbir certainboundsofregularityofeliminationidealsonoperationsofgraphs
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Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs

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