The SSC of the Generalised Jahangir’s Graph Jm,k and its Algebraic Characterizations
Mehwish Javed, Agha Kashif · Punjab University Journal of Mathematics · 2023
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).