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Abstract In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(????n,m) of the Jahangir’s graph ????n,m are explored. We show that Δs(????n,m) is pure, present the… Click to show full abstract
Abstract In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(????n,m) of the Jahangir’s graph ????n,m are explored. We show that Δs(????n,m) is pure, present the formula for f-vectors associated to it and hence deduce a recipe for computing the Hilbert series of the Face ring k[Δs(????n,m)]. Finally, we show that the face ring of Δs(????n,m) is Cohen-Macaulay and give some open scopes of the current work.
Keywords:
jahangir;
characterization ssc;
algebraic characterization;
ssc jahangir;
jahangir graph
Journal Title: Open Mathematics
Year Published: 2017
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Journal Title: Open Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!