Spanning Simplicial Complex of Wheel Graph Wn

作     者：A. Zahid M.U. Saleem A. Kashif M. Khan M.A. Meraj R. Irfan 

作者机构：Department of Mathematicsf University of Exlucation Lahore Pakistan University of Management and Technology Lahore Pakistan Department of Mathematics University of Education Lahore Pakistan Department of Mathematics COMSATS University Islamabad Sahiwal Campus Sahiwal Pakistan 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2019年第26卷第2期

页      面：309-320页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：simplicial complexes spanning trees spanning simplicial complexes f-vectors Hilbert series vertex covers 

摘      要：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.