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Spanning Simplicial Complex of Wheel Graph Wn

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In this paper, we explore the spanning simplicial complex of wheel graph Wn on vertex set [n]. Combinatorial properties of the spanning simplicial complex of wheel graph are discussed, which… Click to show full abstract

In this paper, we explore the spanning simplicial complex of wheel graph Wn on vertex set [n]. Combinatorial properties of the spanning simplicial complex of wheel graph are discussed, which are then used to compute the f-vector and Hilbert series of face ring k[Δs(Wn)] for the spanning simplicial complex Δs(Wn). Moreover, the associated primes of the facet ideal [Formula: see text] are also computed.

Keywords: complex wheel; wheel graph; spanning simplicial; simplicial complex

Journal Title: Algebra Colloquium
Year Published: 2019

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