A note on the Weiss conjecture

Nick Gill

doi:10.1017/S144678871300030X

A note on the Weiss conjecture

Nick Gill

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

76 Wedi eu Llwytho i Lawr (Pure)

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Let $G$ be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a particular bipartite graph. This yields an alternative formulation of the Weiss Conjecture.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	356-361
Nifer y tudalennau	6
Cyfnodolyn	Journal of the Australian Mathematical Society
Cyfrol	95
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1017/S144678871300030X
Statws	Cyhoeddwyd - 15 Maw 2013

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10.1017/S144678871300030X

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title = "A note on the Weiss conjecture",

abstract = "Let $G$ be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a particular bipartite graph. This yields an alternative formulation of the Weiss Conjecture.",

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author = "Nick Gill",

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doi = "10.1017/S144678871300030X",

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AB - Let $G$ be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a particular bipartite graph. This yields an alternative formulation of the Weiss Conjecture.

KW - math.GR

KW - math.CO

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DO - 10.1017/S144678871300030X

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JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

SN - 1446-7887

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A note on the Weiss conjecture

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