Onnectivities of minimal cayley coset digraphs
Copyright policy )Onnectivities of minimal cayley coset digraphs
The author proves that the connectivity of any minimal Cayley coset digraph coincides with its regular degree. He uses the concept of atoms introduced by \textit{M. E. Watkins} [J. Comb. Theory 8, 23-29 (1970; Zbl 0185.51702)], and, for directed graphs, is due to the reviewer [Combinatorics, Keszthely 1976, Colloq. Math. János Bolyai 18, 193-204 (1978; Zbl 0386.05033)], and has been studied mainly by \textit{Y. O. Hamidoune} [C. R. Acad. Sci., Paris, Sér. A 284, 1253-1256 (1977; Zbl 0352.05035) and Ann. Discrete Math. 8, 61-64 (1980; Zbl 0474.05035)].
- Minjiang University China (People's Republic of)
- Xinjiang University China (People's Republic of)
Connectivity, atoms, Cayley coset digraph, Directed graphs (digraphs), tournaments, Graphs and abstract algebra (groups, rings, fields, etc.)
Connectivity, atoms, Cayley coset digraph, Directed graphs (digraphs), tournaments, Graphs and abstract algebra (groups, rings, fields, etc.)
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