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Large Induced Subgraphs with All Degrees Odd

Published online by Cambridge University Press:  12 September 2008

A. D. Scott
A. D. Scott
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, England
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Abstract

We prove that every connected graph of order n ≥ 2 has an induced subgraph with all degrees odd of order at least cn/log n, where cis a constant. We also give a bound in terms of chromatic number, and resolve the analogous problem for random graphs.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 4 , December 1992 , pp. 335 - 349
Copyright
Copyright © Cambridge University Press 1992

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References

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[5]Radcliffe, A. J. and Scott, A. D. (submitted) Every tree has a large induced subgraph with all degrees odd.Google Scholar