Finite vertex-primitive and vertex-biprimitive 2-path-transitive graphs
β Scribed by Cai Heng Li, Hua Zhang
- Book ID
- 113067814
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 565 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0925-9899
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π SIMILAR VOLUMES
We introduce the concept of the primitivity of independent set in vertex-transitive graphs, and investigate the relationship between the primitivity and the structure of maximum independent sets in direct products of vertex-transitive graphs. As a consequence of our main results, we positively solve
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