SEMINAR: Groups and Combinatorics Seminar: Carlisle King, 4pm Aug 30 in Weatherburn LT


Groups and Combinatorics Seminar: Carlisle King, 4pm Aug 30 in Weatherburn LT 
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Speaker: Carlisle King (University of Western Australia)
Title: Edgeprimitive 3arctransitive graphs
Time and place: 4pm Friday 30 Aug 2019, Weatherburn LT
Abstract: Let Gamma be a finite simple graph with G = Aut(Gamma). We say that Gamma is edgeprimitive if G acts primitively on the edges of Gamma. An sarc in Gamma is an ordered path of length s. We say that Gamma is sarctransitive if G is transitive on the set of sarcs of Gamma.
In 1981, Weiss proved that there exists no finite sarctransitive graph of valency at least 3 for s geq 8. Since then, there has been considerable effort to characterise sarctransitive graphs for s leq 7. One interesting family of graphs is that of edgeprimitive graphs. Many famous graphs are edgeprimitive, such as the Heawood graph and the HigmanSims graph. In 2011, Li and Zhang classified finite edgeprimitive sarctransitive graphs for s geq 4. We study the problem of classifying finite edgeprimitive 3arctransitive graphs. This is joint work with Michael Giudici.
Contact 
Stephen Glasby
<[email protected]>

Start 
Fri, 30 Aug 2019 16:00

End 
Fri, 30 Aug 2019 17:00

Submitted by 
Stephen Glasby <[email protected]>

Last Updated 
Mon, 26 Aug 2019 14:24

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