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 t...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 IF(Δs(Wn)) are also computed.展开更多
In this paper, we introduce the concept of the spanning simplicial complex As（G） associated to a simple finite connected graph G. We characterize all spanning trees of the uni-cyclic graph Un,m. In particular, we gi...In this paper, we introduce the concept of the spanning simplicial complex As（G） associated to a simple finite connected graph G. We characterize all spanning trees of the uni-cyclic graph Un,m. In particular, we give a formula for computing the Hilbert series and h-vector of the Stanley-Reisner ring k[△s（Un,m）]. Finally, we prove that the spanning simplicial complex △s（Un,m） is shifted and hence is shellable.展开更多
文摘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 IF(Δs(Wn)) are also computed.
文摘In this paper, we introduce the concept of the spanning simplicial complex As（G） associated to a simple finite connected graph G. We characterize all spanning trees of the uni-cyclic graph Un,m. In particular, we give a formula for computing the Hilbert series and h-vector of the Stanley-Reisner ring k[△s（Un,m）]. Finally, we prove that the spanning simplicial complex △s（Un,m） is shifted and hence is shellable.
