On algebraic aspects of SSC associated to thesubdivided prism graph

Authors

  • Mehwish Javed Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan.
  • Agha Kashif Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan.
  • Muhammad Javaid Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan.

Keywords:

Simplicial Complexes, f − vector, Spanning Trees, Face Ring, Hilbert Series, Cohen Macaulay

Abstract

In this article, some important combinatorial and algebraic properties of spanning simplicial complex associated to the subdivided prism graph P(n,m)P(n,m) are presented. The f−f−vector of the spanning simplicial complex Δs(P(n,m))Δs(P(n,m)) and the Hilbert series for the face ring K[Δs(P(n,m))]K[Δs(P(n,m))] are computed. Further, the associated primes of the facet ideal IF(Δs(P(n,m)))IF(Δs(P(n,m))) are determined. Finally, the Cohen-Macaulay characterization of the SR-ring of Δs(P(n,m))Δs(P(n,m)) is discussed.

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Published

2021-06-30

Issue

Vol. 17 No. 1 (2021): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On algebraic aspects of SSC associated to thesubdivided prism graph. (2021). Journal of Prime Research in Mathematics, 17(1), 7-20. https://jprm.sms.edu.pk/index.php/jprm/article/view/168