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SEMINAR: Groups and Combinatorics Seminar, Finite 2-set-homogeneous graphs

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Today's date is Thursday, January 21, 2021
Groups and Combinatorics Seminar, Finite 2-set-homogeneous graphs Other events...
Jin-Xin Zhou (Beijing Jiaotong University)

will speak on

Finite 2-set-homogeneous graphs

at 3pm Friday 19 September in Weatherburn Lecture Theatre.

Abstract:

Let k be a positive integer. A finite graph G is said to be k-set-homogeneous if for any two isomorphic subgraphs, A and B, of G, each of order at most k, there is an automorphism of G taking A to B. Clearly, every k-set-homogeneous graph is also 2-set-homogeneous for k >= 2. We study the 2-set-homogeneous graphs. It is shown that a 2-set-homogeneous graph G either belongs to some known families of graphs or Aut(G) is an almost simple primitive rank 4 permutation group with exactly one orbital self-paired.
Speaker(s) Jin-Xin Zhou (Beijing Jiaotong University)
Location Weatherburn Lecture Theatre G.40, The University of Western Australia
Contact Irene Pivotto <[email protected]>
Start Fri, 19 Sep 2014 15:00
End Fri, 19 Sep 2014 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Mon, 13 Oct 2014 15:49
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