ScholarLens Back to search
2008•Xitong kexue yu shuxueRequires access

CUBIC VERTEX-TRANSITIVE GRAPHS OF ORDER 4p

Zhou Jinxin

Open publisher page 5 citations

Abstract

A graph is said to be vertex-transitive,if its automorphism group is transitive on its vertices.In this paper,it is proven that a connected cubic vertex-transitive graph of order 4p(p a prime)is either a Cayley graph or isomorphic to one of the following:the generalized Petersen graph P(10,2),the Dodecahedron,the Coxeter graph,or the generalized Petersen graph P(2p,k)where k~2=-1(mod 2p).

About this research paper

What this paper is about

A graph is said to be vertex-transitive,if its automorphism group is transitive on its vertices.In this paper,it is proven that a connected cubic vertex-transitive graph of order 4p(p a prime)is either a Cayley graph or isomorphic to one of the following:the generalized Petersen graph P(10,2),the Dodecahedron,the Coxeter graph,or the generalized Petersen graph P(2p,k)where k~2=-1(mod 2p).

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A graph is said to be vertex-transitive,if its automorphism group is transitive on its vertices.In this paper,it is proven that a connected cubic vertex-transitive graph of order 4p(p a prime)is either a Cayley graph or isomorphic to one of the following:the generalized Petersen graph P(10,2),the Dodecahedron,the Coxeter graph,or the generalized Petersen graph P(2p,k)where k~2=-1(mod 2p).

Key concepts: Combinatorics, Petersen graph, Mathematics, Vertex-transitive graph, Cubic graph, Symmetric graph, Regular graph, Distance-regular graph

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
CUBIC VERTEX-TRANSITIVE GRAPHS OF ORDER 4p — Research Paper | ScholarLens