The classification of the Hamiltonicity of generalized Petersen graphs was begun by Watkins, continued by Bondy and Bannai, and completed by Alspach. We now ...
This diagram can be rotated to only three different starting positions to produce three Hamiltonian cycles.
The classification of the Hamiltonicity of generalized Petersen graphs was begun by Watkins, continued by Bondy and Bannai, and completed by Alspach. We now ...
Enumeration of Hamiltonian cycles in certain generalized Petersen graphs · Contents. Journal of Combinatorial Theory Series B. Volume 47, Issue 1 · PREVIOUS ...
When n is congruent to 3 modulo 6 G(n, 2) has exactly three Hamiltonian cycles. For G(n, 2), the number of Hamiltonian cycles can be computed by a formula that ...
This paper deals with the hamiltonicity problem of the generalized Petersen graphs P (n, 4), n ≥ 9. A new method is represented to determine the set.
The generalized Petersen graph is cubic, m/n=3/2, where m is the edge count and n is the vertex count. More specifically, GP(n,k) has 2n nodes and 3n edges.
Sep 25, 2024 · Enumeration of Hamiltonian cycles in certain generalized. Petersen graphs. J. Combin. Theory, Ser. B 47(1):53–59, 1989. [11] J. Sheehan. The ...
Oct 22, 2009 · This paper proves the graph of a random 5-outregular digraph is Hamiltonian and there is an algorithm that finds a Hamiltonian cycle in polynomial time.
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Watkins (J. Combinatorial Theory 6 (1969), 152-164) introduced the concept of generalized Petersen graphs and conjectured that all but the original Petersen.