Groups whose prime graphs have no triangles
โ Scribed by Tong-Viet, Hung P.
- Book ID
- 120403685
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 225 KB
- Volume
- 378
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
Let G be a non-Abelian finite group, ฮ (G) the attached graph related to its conjugacy classes. The aim of this paper is to prove that the symmetric group S 3 , the dihedral group D 5 , the three pairwise non-isomorphic non-Abelian groups of order 12, and the non-Abelian group T 21 of order 21, is t
To a graph G is canonically associated its neighborhood-hypergraph, X(G), formed by the closed neighborhoods of the vertices of G. We characterize the graphs G such that (i) X(G) has no induced cycle, or (ii) #(G) is a balanced hypergraph or (iii) X(G) is triangle free. (i) is another short proof of