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2006•Neimenggu Shi-da xuebao. Zhexue shehui kexue hanwen banRequires access

THE GIRTH OF A 6-HOMOGENEOUS BIPARTITE GRAPH

Zengti Li

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Abstract

In this paper,the relation between diameter and girth of 6-homogeneous bipartite graph were studied.By using the properties of distance-regular graph and its intersection diagrams,it was proved a girth of(6-homogeneous) bipartite graph with valency k≥ 3 and C_(r+2)=3 is not more than 12.

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What this paper is about

In this paper,the relation between diameter and girth of 6-homogeneous bipartite graph were studied.By using the properties of distance-regular graph and its intersection diagrams,it was proved a girth of(6-homogeneous) bipartite graph with valency k≥ 3 and C_(r+2)=3 is not more than 12.

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Available abstract

In this paper,the relation between diameter and girth of 6-homogeneous bipartite graph were studied.By using the properties of distance-regular graph and its intersection diagrams,it was proved a girth of(6-homogeneous) bipartite graph with valency k≥ 3 and C_(r+2)=3 is not more than 12.

Key concepts: Bipartite graph, Valency, Mathematics, Combinatorics, Edge-transitive graph, Complete bipartite graph, Homogeneous, Triangle-free graph

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