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Connectivity of certain simplicial complexes associated to a handlebody

Qilong Guo

College of Science, China University of Petroleum-Beijing, Beijing 102249, P. R. China

School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

E-mail Address: guoqilong1984@hotmail.com

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and

Qing Liu

School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

E-mail Address: liuqing1989930@163.com

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https://doi.org/10.1142/S0218216516500644Cited by:2 (Source: Crossref)

Abstract

In this paper, we prove three simplicial complexes associate to a handlebody, which are separating disk complex, half disk complex and disk pants graph, are connected.

Keywords:

AMSC: 57M99

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