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The stability index of a cactus

Published online by Cambridge University Press:  09 April 2009

Douglas D. Grant  and
D. A. Holton
Douglas D. Grant
Affiliation:
Department of Mathematics, University of Reading, England
D. A. Holton
Affiliation:
Department of Mathematics, University of MelbourneParkville 3052, Australia
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Abstract

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We show that if G is a connected graph of order n such that no line lies in more than one cycle (in other words, G is a cactus of order n), then the stability index of G is one of the integers 0, 1, n−7, n−6, n−5, n−4 or n.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 2 , September 1977 , pp. 170 - 183
Copyright
Copyright © Australian Mathematical Society 1977

References

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