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The SSC of the Generalised Jahangir’s Graph Jm,k and its Algebraic Characterizations
Author(s):
1. Mehwish Javed: Department of Mathematics, UMT Lahore, Pakistan
2. Agha Kashif: Department of Mathematics, UMT Lahore, Pakistan
Abstract:
In this article, we present important combinatorial and algebraic properties of spanning simplicial complex (SSC) of the generalised Jahangir’s graph Jm,k. We describe the relation to find f−vectors associated to ?s(Jm,k) and determine the Hilbert series for the SR-ring   K?s(Jm,k) .In the end, we present the associated primes of the facet ideal IF (?s(Jm,k) and the Cohen-Macaulay characterization of the SR-ring of ?s(Jm,k).
Page(s): 99-115
DOI: DOI not available
Published: Journal: Punjab University Journal of Mathematics, Volume: 55, Issue: 3, Year: 2023
Keywords:
Face Ring , Simplicial Complexes , Spanning Trees , Hilbert Series , Cohen , fvectors
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