SEMINAR: Groups and Combinatorics Seminar, On The Non-commuting Graph
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Groups and Combinatorics Seminar, On The Non-commuting Graph |
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Abstract:
In this talk, we will consider the non-commuting graph of a non-abelian finite group G; its vertex set is the set of non-central elements of G, and two distinct vertices x and y are joined by an edge if they do not commute together. Actually, we study some properties of the non-commuting graph such as connectivity, regularity, etc., and we show that, for many groups G, if H is a group which has the same non-commuting graph of G, then they have the same order. We determine the structure of any finite non-abelian group G (up to isomorphism) for which its non-commuting graph is a complete multipartite graph. We also show that a non-commuting graph is a strongly regular graph if and only if it is a complete multipartite graph.
Speaker(s) |
Marzieh Akbari (K. N. Toosi University of Technology)
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Location |
Blakers Lecture Theatre G.18
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Contact |
Irene Pivotto
<[email protected]>
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Start |
Fri, 13 Sep 2013 15:00
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End |
Fri, 13 Sep 2013 16:00
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Submitted by |
Irene Pivotto <[email protected]>
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Last Updated |
Mon, 09 Sep 2013 15:08
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