Title of article
A root graph that is locally the line graph of the Petersen graph Original Research Article
Author/Authors
A.E. Brouwer، نويسنده , , J.H. Koolen، نويسنده , , M.H. Klin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
12
From page
13
To page
24
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 24.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.
Keywords
Root graph , Distance-regular graph , Strongly regular graph , Local characterization , Symmetric design
Journal title
Discrete Mathematics
Serial Year
2003
Journal title
Discrete Mathematics
Record number
949064
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