On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group $M_{12}$)

A.E. Brouwer

doi:10.1016/0012-365X(94)90250-X

On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group $M_{12}$)

A.E. Brouwer

Discrete Algebra and Geometry

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

2 Citaten (Scopus)

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We show that there are unique distance-regular graphs with intersection arrays {6, 5, 4, 1; 1, 2, 5, 6} and {12, 11, 10, 7; 1, 2, 5, 12}, and that no distance-regular graph with intersection array {10, 9, 8, 5; 1, 2, 5, 10} exists.

Originele taal-2	Engels
Pagina's (van-tot)	13-27
Aantal pagina's	6
Tijdschrift	Discrete Mathematics
Volume	126
Nummer van het tijdschrift	1-3
DOI's	https://doi.org/10.1016/0012-365X(94)90250-X
Status	Gepubliceerd - 1994

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10.1016/0012-365X(94)90250-X

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title = "On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group \$M\_\{12\}\$)",

abstract = "We show that there are unique distance-regular graphs with intersection arrays \{6, 5, 4, 1; 1, 2, 5, 6\} and \{12, 11, 10, 7; 1, 2, 5, 12\}, and that no distance-regular graph with intersection array \{10, 9, 8, 5; 1, 2, 5, 10\} exists.",

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AU - Brouwer, A.E.

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N2 - We show that there are unique distance-regular graphs with intersection arrays {6, 5, 4, 1; 1, 2, 5, 6} and {12, 11, 10, 7; 1, 2, 5, 12}, and that no distance-regular graph with intersection array {10, 9, 8, 5; 1, 2, 5, 10} exists.

AB - We show that there are unique distance-regular graphs with intersection arrays {6, 5, 4, 1; 1, 2, 5, 6} and {12, 11, 10, 7; 1, 2, 5, 12}, and that no distance-regular graph with intersection array {10, 9, 8, 5; 1, 2, 5, 10} exists.

U2 - 10.1016/0012-365X(94)90250-X

DO - 10.1016/0012-365X(94)90250-X

M3 - Article

SN - 0012-365X

VL - 126

SP - 13

EP - 27

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group $M_{12}$)

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