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On Edge-Disjoint Cycles in a Graph

Published online by Cambridge University Press:  20 November 2018

J. W. Moon*
Affiliation:
University College London
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Let g(k) denote the least integer such that every graph , with n vertices and n+g(k) edges, contains at least k edge-disjoint cycles; let h(k) be similarly defined for planar graphs. Loops and multiple edges (i.e., cycles of length one and two) are permitted in both cases.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1964