One Criterion of Existence of a Himiltonian Cycle

One Criterion of Existence of a Himiltonian Cycle In the paper, the necessary and sufficient conditions of existence of a Hamiltonian cycle in a graph are investigated. It is proven that a graph is Hamiltonian if andonly if the number of elemetns in any independent set of its vertices does not exceed the number of vertices in the minimum separating set for the paths connecting these independent vertices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

One Criterion of Existence of a Himiltonian Cycle

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1998 by Kluwer Academic Publishers
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1023/A:1009993312051
Publisher site
See Article on Publisher Site

Abstract

In the paper, the necessary and sufficient conditions of existence of a Hamiltonian cycle in a graph are investigated. It is proven that a graph is Hamiltonian if andonly if the number of elemetns in any independent set of its vertices does not exceed the number of vertices in the minimum separating set for the paths connecting these independent vertices.

Journal

Reliable ComputingSpringer Journals

Published: Oct 6, 2004

References

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