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Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs

Author

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  • Zongming Lv
  • Muhammad Junaid Ali Junjua
  • Muhammad Tajammal Tahir
  • Khurram Shabbir

Abstract

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 and by using the DVE method. We further compute sharp upper bound for Castelnuovo–Mumford regularity of elimination ideals associated to these families of graphs.

Suggested Citation

  • Zongming Lv & Muhammad Junaid Ali Junjua & Muhammad Tajammal Tahir & Khurram Shabbir, 2021. "Certain Bounds of Regularity of Elimination Ideals on Operations of Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, October.
    • Handle: RePEc:hin:jnlmpe:3697430
    DOI: 10.1155/2021/3697430
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