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A Com binatorial Approach for Topological Classification of Graphlike M anifolds 被引量:5
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作者 林诒勋 王勤 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第3期1-11, ,共11页
The concept of graphlike manifolds was presented in [1] and the problem of counting the homeomorphic classes of graphlike manifolds has been studied in a series of articles, e.g., [1~8]. In this paper we suggest an a... The concept of graphlike manifolds was presented in [1] and the problem of counting the homeomorphic classes of graphlike manifolds has been studied in a series of articles, e.g., [1~8]. In this paper we suggest an approach based on the graph colouring, Abelian group and the combinatorial enumeration method. 展开更多
关键词 graphlike manifold graph colouring equivalence classes ENUMERATION
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An Application of Machine Computation for Studying Graphlike Manifolds (Ⅱ) 被引量:2
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作者 张群 宋中山 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第3期101-110, ,共10页
In this note, we designed algorithm and program for homeomorphic classification of graphlike manifolds.counted the numbers of homeomorphic classes of graphlike manifolds with respect to scores contractions of 6-vertex... In this note, we designed algorithm and program for homeomorphic classification of graphlike manifolds.counted the numbers of homeomorphic classes of graphlike manifolds with respect to scores contractions of 6-vertexes and noticed a mistake in [7]. 展开更多
关键词 machine computation graphlike manifold homeomorphic class
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Classification of Graphlike Manifold with Contraction 被引量:1
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作者 LIU Zhen LI Qi-sheng 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期92-95,共4页
In this paper,we derive the homeomorphic classes of graphlike manifold with contraction by means of twist operation.
关键词 graphlike manifold CONTRACTION twist operation negative edge
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Homeomorphic Classes of Graphlike Manifolds with Contractions 6,7,8-pyramid 被引量:1
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作者 ZHANG Qun SONG Zhong-shan 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第4期438-440,共3页
In this note, we reported some results of homeomorphic classification of graphlikemanifolds of which contractions are edges of pyramids, and the number of vertexes of thebase of a pyramid, equal to 6 or 7 or 8.
关键词 machine computation graphlike manifold homeomorphic class
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