Plane Graphs with Acyclic Clique Complex Are Contractible
Received:February 16, 2004  
Key Words: contractible graph   contractible transformation   homology group   plane graph.  
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Author NameAffiliation
CHEN Yi-chao College of Mathematics and Econometrics, Hunan University, Changsha 410082, China
Dept. of Math., Beijing Jiaotong University, Beijing 100044, China 
SU Jian-ji Dept. of Math., Guangxi Normal University, Guilin 541004, China 
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Abstract:
      XU Bao-gang conjectured : If the clique complex $C(G)$ of a graph $G$ is acyclic, $G$ is contractible. In this paper we prove that the conjecture holds for planar graphs.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.02.024
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