On connectivity of the facet graphs of simplicial complexes

Ilan I. Newman; Yuri Rabinovich

doi:10.1007/s11856-019-1923-1

On connectivity of the facet graphs of simplicial complexes

Ilan I. Newman, Yuri Rabinovich

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

The paper studies the connectivity properties of facet graphs of simplicial complexes of combinatorial interest. In particular, it is shown that the facet graphs of d-cycles, d-hypertrees and d-hypercuts are, respectively, (d +1)-, d-and (n − d − 1)-vertex-connected. It is also shown that the facet graph of a d-cycle cannot be split into more than s connected components by removing at most s vertices. In addition, the paper discusses various related issues, as well as an extension to cell-complexes.

Original language	English
Pages (from-to)	521-545
Number of pages	25
Journal	Israel Journal of Mathematics
Volume	234
Issue number	2
DOIs	https://doi.org/10.1007/s11856-019-1923-1
State	Published - 1 Oct 2019

Bibliographical note

Publisher Copyright:
© 2019, The Hebrew University of Jerusalem.

ASJC Scopus subject areas

General Mathematics

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On connectivity of the facet graphs of simplicial complexes

Abstract

Bibliographical note

ASJC Scopus subject areas

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