A New Method for Computing the 1-Dimensional Homology Group of a Given 2-Complex
Received:April 13, 2001  
Key Words: 1-chain   1-cycle   complex   homology group.  
Fund Project:Supported by Education Ministry of China (02139)
Author NameAffiliation
LI Shu-chao Dept. of Control Science and Engineering
BUST
Wuhan
China
Dept. of Math.
Central China Normal University
Wuhan
China 
FENG Yan-qin Dept. of Math.
Nanjing University
Jiangsu
China 
MAO Jing-zhong Dept. of Math.
Central China Normal University
Wuhan
China 
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Abstract:
      In [3], a vector space associate with a graph G: "its cycle space" was described over the two element field Z2. Here we generalize the theory to the ring Z to compute 1-dimensional homology group of a given 2-complex with a combination of algebraic and graph-theoretic method.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.03.001
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