1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97)
Hamiltonian-Laceability of Star Graphs
Taipei, Taiwan
December 18-December 20
ISBN: 0-8186-8259-0
Suppose G is a bipartite graph with two partite sets of equal size. G is said to be strongly hamiltonlaceable if there is a hamiltonian path between any two vertices that belong to the different partite sets, and there is a path of (maximal) length N-2 between any two vertices that belong to the same partite set, where N is the order of G. The star graph is known to be bipartite. In this paper, we show that the n-dimensional star graph, where n\geq 4 is strongly hamiltonian-laceable.
Citation:
Sun-yuan Hsieh, Gen-huey Chen, Chin-wen Ho, "Hamiltonian-Laceability of Star Graphs," ispan, pp.112, 1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97), 1997