首页|Algebraic Characterization of SSC of Uni-Cyclic Multigraphs
Algebraic Characterization of SSC of Uni-Cyclic Multigraphs
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NETL
NSTL
万方数据
维普
We introduce first the spanning simplicial complex(SSC)of a multigraph G,which gives a generalization of the SSC associated with a simple graph G.Combinatorial properties are discussed for the SSC of a family of uni-cyclic multigraphs Urn,m with n edges including r multiple edges within and outside the cycle of length m,which are then used to compute the f-vector and Hilbert series of face ring k[Δs(Urn,m)]for the SSC Δ8(Urn,m).Moreover,we find the associated primes of the facet ideal IF(Δs(Urn,m)).Finally,we device a formula for homology groups of Δs(Urn,m)and prove that the SSC of a family of uni-cyclic multigraphs is Cohen-Macaulay.
NETL
NSTL
万方数据
维普
