| Maximum Genus and Girth of a Graph |
| Received:March 26, 1997 |
| Key Words:
maximum genus Betti deficiency independece number girth.
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| Fund Project:Supported by the National Natural Science Foundation of China(19801013) |
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| Abstract: |
| It is known (for example, see [4]) that the maximum genus of a graph is mainly determined by the Betti deficiency of the graph. In this paper, we establish a best upper bound on the Betti deficiency of a graph bounded by its independence number and girth, and immediately obtain a new result on the maximum genus. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2000.02.006 |
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