参考文献/References:
[1] Connon E,Faridi S.Chorded complexes and a necessary condition for a monomial ideal to have a linear resolution[J].Journal of Combinatorial Theory:Series A,2013,120(7):1714-1731.
[2] Faridi S.The facet ideal of a simplicial complex[J].Manuscripta Mathematica,2002,109(2):159-174.
[3] Herzog J,Hibi T.Monomial ideals,GTM260[M].London:Springer-Verlag London Limited,2011.
[4] Minh N C,Trung N V.Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals[J].Advances in Mathematics,2011,226(2):1285-1306.
[5] Villarreal R H.Monomial algebras[M].New York:Marcel Dekker,2001.
[6] Abbasi G Q,Ahmad S,Anwar I,et al.f-ideals of degree 2[J].Algebr Colloq,2012,19:921- 926.
[7] Anwar I,Mahmood H,Binyamin M A,et al.On the Characterization of f-ideals[J].Communications in Algebra,2014,42(9):3736-3741.
[8] Guo Jin,Wu Tongsuo,Liu Qiong.f-ideals and f-graphs[J].Communications in Algebra,2017,45(8):3207-3220.
[9] Mahmood H,Anwar I,Zafar M K.A construction of Cohen-Macaulay f-graphs[J].Journal of Algebra and Its Applications,2014,13(6):1450012.
[10] Aharoni R,Berger E,Meshulam R.Eigenvalues and homology of flag complexes and vector representations of graphs[J].Geom Funct Anal,2005,15(3):555-566.
[11] Caroline J Klivans.Threshold graphs,shifted complexes,and graphical complexes[J].Discrete Math,2007,307(21):2591-2597.
[12] Roy Meshulam.Domination numbers and homology[J].J Combin Theory:Ser A,2003,102(2):321-330.
[13] Berger E.Relation between the maximal degree of a graph and the topological connectivity of its independence complex[J].Banff International Research Station for Mathematical Innovation and Discovery,2013.
[14] Earl J,Vander Meulen K N,Van Tuyl A.Independence complexes of well-covered circulant graphs[J].Experimental Mathematics,2016,25(4):441-451.
[15] Woodroofe R.Vertex decomposable graphs and obstructions to shellability[J].Proceedings of the American Mathematical Society,2009,137(10):3235-3246.