Browsing by Author "Faisal Rehman FA20-BSM-064"

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    Properties of SSC of Wheel Graphs
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2023) Faisal Rehman FA20-BSM-064; Dr. Imran Ahmed; LHR TP 9901
    Let G be a finite graph with vertex set V and edge set E. A graph complex on G is an abstract simplicial complex consisting of subsets of E. In particular, we may interpret such a complex as a family of subgraphs of G. The subject of the thesis is the Properties of SSC of Wheel Graphs, the emphasis being placed on homology, connectivity degree, Cohen-Macaulayness, and Vertex Decomposition. Let ∆ be a pure simplicial complex on n vertices having dimension d and codimension c = n−d −1 in the simplex. Terai and Yoshida proved that if the number of facets of ∆ is at least