A root graph that is locally the line graph of the Petersen graph

A. E. Brouwer; J. H. Koolen; M. H. Klin

doi:10.1016/S0012-365X(02)00546-0

A root graph that is locally the line graph of the Petersen graph

A. E. Brouwer, J. H. Koolen, M. H. Klin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We construct a root graph on 192 vertices that is locally the line graph of the Petersen graph, a new distance-regular graph on 96 vertices (with intersection array {15,10,1;1,2,15} and automorphism group 2 ⁴.Sym(6)) , and several new strongly regular graphs (with parameters (v,k,λ,μ)= (96,20,4,4) and (96,19,2,4)) and square 2-(96,20,4) designs.

Original language	English
Pages (from-to)	13-24
Number of pages	12
Journal	Discrete Mathematics
Volume	264
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(02)00546-0
State	Published - 6 Mar 2003

Keywords

Distance-regular graph
Local characterization
Root graph
Strongly regular graph
Symmetric design

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(02)00546-0

Cite this

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title = "A root graph that is locally the line graph of the Petersen graph",

abstract = "We construct a root graph on 192 vertices that is locally the line graph of the Petersen graph, a new distance-regular graph on 96 vertices (with intersection array {15,10,1;1,2,15} and automorphism group 2 4.Sym(6)) , and several new strongly regular graphs (with parameters (v,k,λ,μ)= (96,20,4,4) and (96,19,2,4)) and square 2-(96,20,4) designs.",

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AU - Brouwer, A. E.

AU - Koolen, J. H.

AU - Klin, M. H.

PY - 2003/3/6

Y1 - 2003/3/6

N2 - We construct a root graph on 192 vertices that is locally the line graph of the Petersen graph, a new distance-regular graph on 96 vertices (with intersection array {15,10,1;1,2,15} and automorphism group 2 4.Sym(6)) , and several new strongly regular graphs (with parameters (v,k,λ,μ)= (96,20,4,4) and (96,19,2,4)) and square 2-(96,20,4) designs.

AB - We construct a root graph on 192 vertices that is locally the line graph of the Petersen graph, a new distance-regular graph on 96 vertices (with intersection array {15,10,1;1,2,15} and automorphism group 2 4.Sym(6)) , and several new strongly regular graphs (with parameters (v,k,λ,μ)= (96,20,4,4) and (96,19,2,4)) and square 2-(96,20,4) designs.

KW - Distance-regular graph

KW - Local characterization

KW - Root graph

KW - Strongly regular graph

KW - Symmetric design

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U2 - 10.1016/S0012-365X(02)00546-0

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VL - 264

SP - 13

EP - 24

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

A root graph that is locally the line graph of the Petersen graph

Abstract

Keywords

ASJC Scopus subject areas

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