A Combinatorial Approach for Topological Classification of Graphlike Manifolds

数学季刊 ›› 1998, Vol. 13 ›› Issue (3): 1-11.

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A Combinatorial Approach for Topological Classification of Graphlike Manifolds

Department of Mathematics，Zhengzhou University，Zhengzhou，450052

收稿日期:1998-06-27 出版日期:1998-09-30 发布日期:2024-10-21
基金资助:
Project supported by the National Natural Science Foundation of China．

A Combinatorial Approach for Topological Classification of Graphlike Manifolds

Department of Mathematics，Zhengzhou University，Zhengzhou，450052

Received:1998-06-27 Online:1998-09-30 Published:2024-10-21
Supported by:
Project supported by the National Natural Science Foundation of China．

摘要/Abstract

摘要： 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．

关键词: , graphlike manifold；graph colouring；equivalence classes；enumeration

Abstract: 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．

Key words: , graphlike manifold；graph colouring；equivalence classes；enumeration

中图分类号:

O157

林诒勋, 王勤. A Combinatorial Approach for Topological Classification of Graphlike Manifolds[J]. 数学季刊, 1998, 13(3): 1-11.

Lin Yixun, Wang Qin. A Combinatorial Approach for Topological Classification of Graphlike Manifolds[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(3): 1-11.

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A Combinatorial Approach for Topological Classification of Graphlike Manifolds

A Combinatorial Approach for Topological Classification of Graphlike Manifolds

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