A new distance-regular graph associated to the Mathieu group M10

A.E. Brouwer; J.H. Koolen; R.J. Riebeek

doi:10.1023/A:1008685726957

A new distance-regular graph associated to the Mathieu group M10

A.E. Brouwer, J.H. Koolen, R.J. Riebeek

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

3 Citations (Scopus)

Abstract

We construct a bipartite distance-regular graph with intersection array {45, 44, 36, 5; 1, 9, 40, 45} and automorphism group 35 :(2 ×M10) (acting edge-transitively) and discuss its relation to previously known combinatorial structures.

Original language	English
Pages (from-to)	153-156
Number of pages	4
Journal	Journal of Algebraic Combinatorics
Volume	8
Issue number	2
DOIs	https://doi.org/10.1023/A:1008685726957
Publication status	Published - 1998

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title = "A new distance-regular graph associated to the Mathieu group M10",

abstract = "We construct a bipartite distance-regular graph with intersection array {45, 44, 36, 5; 1, 9, 40, 45} and automorphism group 35 :(2 ×M10) (acting edge-transitively) and discuss its relation to previously known combinatorial structures.",

author = "A.E. Brouwer and J.H. Koolen and R.J. Riebeek",

year = "1998",

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language = "English",

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AU - Brouwer, A.E.

AU - Koolen, J.H.

AU - Riebeek, R.J.

PY - 1998

Y1 - 1998

N2 - We construct a bipartite distance-regular graph with intersection array {45, 44, 36, 5; 1, 9, 40, 45} and automorphism group 35 :(2 ×M10) (acting edge-transitively) and discuss its relation to previously known combinatorial structures.

AB - We construct a bipartite distance-regular graph with intersection array {45, 44, 36, 5; 1, 9, 40, 45} and automorphism group 35 :(2 ×M10) (acting edge-transitively) and discuss its relation to previously known combinatorial structures.

U2 - 10.1023/A:1008685726957

DO - 10.1023/A:1008685726957

M3 - Article

VL - 8

SP - 153

EP - 156

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

SN - 0925-9899

IS - 2

ER -

A new distance-regular graph associated to the Mathieu group M10

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