Vertex decomposability of complexes associated to forests
Publish place: Transactions on Combinatorics، Vol: 11، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_COMB-11-1_001
تاریخ نمایه سازی: 17 آبان 1400
Abstract:
In this article, we discuss the vertex decomposability of three well-studied simplicial complexes associated to forests. In particular, we show that the bounded degree complex of a forest and the complex of directed trees of a multidiforest is vertex decomposable. We then prove that the non-cover complex of a forest is either contractible or homotopy equivalent to a sphere. Finally we provide a complete characterization of forests whose non-cover complexes are vertex decomposable.
Keywords:
Bounded degree complex , non-cover complex , complex of directed trees , vertex decomposable complex , forests
Authors
Anurag Singh
Department of Mathematics, Chennai Mathematical Institute, Kelambakkam, Chennai, India