Spanning Simplicial Complexes of Uni-Cyclic Graphs
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In this paper, we introduce the concept of the spanning simplicial complex Δs(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[Δs(Un,m)]. Finally, we prove that the spanning simplicial complex Δs(Un,m) is shifted and hence is shellable.
2011 ◽
Vol DMTCS Proceedings vol. AO,...
(Proceedings)
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2012 ◽
Vol 55
(1)
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pp. 157-163
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2009 ◽
Vol 08
(02)
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pp. 243-257
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