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Information Journal Paper

Title

Vertex Decomposable Simplicial Complexes Associated to Path Graphs

Pages

  1-2

Abstract

 Introduction: Vertex decomposability of a Simplicial complex is a combinatorial topological concept which is related to the algebraic properties of the Stanley-Reisner ring of the Simplicial complex. This notion was first defined by Provan and Billera in 1980 for k-decomposable pure complexes which is known as vertex decomposable when. Later Bjorner and Wachs extended this concept to non-pure complexes. Being defined in an inductive way, vertex decomposable Simplicial complexes are considered as a well behaved class of complexes and has been studied in many research papers. Because of their interesting algebraic and topological properties, giving a characterization for this class of complexes is of great importance and is one of the main problems in combinatorial commutative algebra.....

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    • Cite

    APA: Copy

    MORADI, SOMAYEH. (2019). Vertex Decomposable Simplicial Complexes Associated to Path Graphs. MATHEMATICAL RESEARCHES, 5(1 ), 1-2. SID. https://sid.ir/paper/725669/en

    Vancouver: Copy

    MORADI SOMAYEH. Vertex Decomposable Simplicial Complexes Associated to Path Graphs. MATHEMATICAL RESEARCHES[Internet]. 2019;5(1 ):1-2. Available from: https://sid.ir/paper/725669/en

    IEEE: Copy

    SOMAYEH MORADI, “Vertex Decomposable Simplicial Complexes Associated to Path Graphs,” MATHEMATICAL RESEARCHES, vol. 5, no. 1 , pp. 1–2, 2019, [Online]. Available: https://sid.ir/paper/725669/en

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