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On hamiltonian Toeplitz graphs

✍ Scribed by Clemens Heuberger


Book ID
108315647
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
332 KB
Volume
245
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Hamiltonian properties of Toeplitz graph
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Conditions are given for the existence of hamiltonian paths and cycles in the so-called Toeplitz graphs, i.e. simple graphs with a symmetric Toeplitz adjacency matrix.

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Suppose G is a graph, F is a l-factor of G. G is called F-Hamiltonian, if there exists a Hamiltonian cycle containing F in G. In this paper, two necessary and sufficient conditions for a general graph and a bipartite graph being F-Hamiltonian are provided, respectively.

On hamiltonian-connected graphs
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## Abstract One of the most fundamental results concerning paths in graphs is due to Ore: In a graph __G__, if deg __x__ + deg __y__ ≧ |__V__(__G__)| + 1 for all pairs of nonadjacent vertices __x, y__ β‰… __V__(__G__), then __G__ is hamiltonian‐connected. We generalize this result using set degrees.