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Irreducible and transitive locally-nilpotent by abelian finitary groups

โœ Scribed by C.J.E. Pinnock


Book ID
105756583
Publisher
Springer
Year
2000
Tongue
English
Weight
65 KB
Volume
74
Category
Article
ISSN
0003-889X

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Hamiltonian cycles and paths in vertex-t
โœ Marc J. Lipman ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 378 KB

In 1968, L. Lovfisz conjectured that every connected, vertex-transitive graph had a Hamiltonian path. In this paper the following results are proved: (1) If a connected graph has a transitive nilpotent group acting on it, then the graph has a Hamiltonian path; (2) a connected, vertex-transitive grap