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SEMINAR: Groups and Combinatorics Seminar:Symmetry properties of subdivision graphs, and serendipity

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Groups and Combinatorics Seminar

Alice Devillers (UWA)

will speak on

Symmetry properties of subdivision graphs, and serendipity

at 12 noon in MLR2 on Tuesday 18 May

Abstract: (Joint work with Ashraf Daneshkhah and Cheryl E. Praeger)

The subdivision graph $S( igma)$ of a graph $ igma$ is obtained from $ igma$ by `adding a vertex' in the middle of every edge of $ igma$. In other words, it is the incidence graph of $ igma$ if $ igma$ is seen as a vertices-edges geometry.

In work with Ashraf and Cheryl, we studies various symmetry properties of $S( igma)$. In particular we tried to characterise when $S( igma)$ is locally s-arc transitive, and locally s-distance transitive. I will explain the results we obtained.

Subdivision graphs also appeared by surprise on work with Cheryl about locally s-distance transitive graphs admitting a $K_{1,2}$ quotient, so we have an application to our subdivision graph results. Generalised polygons also make an unexpected appearance.

All welcome
Speaker(s) Alice Devillers
Location Maths Lecture Room 2
Contact Michael Giudici <[email protected]>
Start Tue, 18 May 2010 12:00
End Tue, 18 May 2010 12:45
Submitted by Michael Giudici <[email protected]>
Last Updated Wed, 26 May 2010 12:22
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