Spanning Simplicial Complexes of Uni-Cyclic Graphs.
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Algebra Colloquium
Abstract
In this paper, we introduce the concept of spanning simplicial complexes
∆s(G) associated to a simple finite connected graph G. We give the characterization
of all spanning trees of the uni-cyclic graph Un,m. In particular, we
give the formula for computing the Hilbert series and h-vector of the Stanley
Riesner ring k
∆s(Un,m)
. Finally, we prove that the spanning simplicial complex
∆s(Un,m) is shifted hence ∆s(Un,m) is shellable.
Key words : Primary Decomposition, Hilbert Series, f-vectors, h-vectors, spanning
Trees
Description
Keywords
Mathematics, 2000 Mathematics Subject Classification: Primary 13P10, Secondary 13H10, 13F20, 13C14
Citation
Anwar, I., Raza, Z., &Kashif, A. (2015). Spanning Simplicial Complexes of Uni-Cyclic Graphs. Algebra Colloquium, 22(04), 707-710.(Agha Kashif) (IF 0.298 JCR Listed)