We associate to every finite group G a graph Γ′(G) related to the conjugacy classes of G, and describe all finite groups G for which Γ′(G) is connected and has diameter three. It is known that three is the maximal possible diameter for such graphs.
The diameter of a conjugacy class graph of finite groups / S. DOLFI; C. CASOLO. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - STAMPA. - 28:(1996), pp. 141-148. [10.1112/blms/28.2.141]
The diameter of a conjugacy class graph of finite groups
DOLFI, SILVIO;CASOLO, CARLO
1996
Abstract
We associate to every finite group G a graph Γ′(G) related to the conjugacy classes of G, and describe all finite groups G for which Γ′(G) is connected and has diameter three. It is known that three is the maximal possible diameter for such graphs.File in questo prodotto:
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