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On a Problem of Ore

Published online by Cambridge University Press:  03 November 2016

J. W. Moon
J. W. Moon*
Affiliation:
Mathematics Department, University of Alberta, Edmonton, Alberta, Canada
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Extract

A graph consists of a set of vertices some pairs of which are joined by a single edge. A path is a sequence of distinct vertices (x1, x2, …, xm) such that consecutive vertices xi and xi+1 are joined by an edge (xi, xi+1), for i = 1, 2, .., m — 1. One of the unsolved problems of graph theory is to obtain criteria for determining whether any given graph has a Hamilton path, i.e., a path which passes through each vertex exactly once. (For pertinent references and further definitions, see [1].)

Type
Research Article
Information
The Mathematical Gazette , Volume 49 , Issue 367 , February 1965 , pp. 40 - 41
Copyright
Copyright © Mathematical Association 1965

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References

1. Ore, O., Theory of Graphs, A.M.S. Collog. Publ., Vol. 38, 1962.Google Scholar
2. Ore, O., Hamilton connected graphs, J Math. Pures Appl., Vol. 42, 1963, pp. 21–27.Google Scholar