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The relationship between fixing subgraphs and smoothly embeddable subgraphs
Part of:
Graph theory
Published online by Cambridge University Press: 09 April 2009
Abstract
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Grant (1976) has attempted to establish a relationship between fixing subgraphs and smoothly embeddable subgraphs. Here we give counterexamples to his two main lemmas and two characterizing theorems. We then go on to give our own version of these lemmas and theorems.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 26 , Issue 3 , November 1978 , pp. 353 - 367
- Copyright
- Copyright © Australian Mathematical Society 1978
References
Behzad, M. and Chartrand, G. (1971), Introduction to the theory of graphs (Allyn and Bacon, Boston).Google Scholar
Grant, D. D. (1976), ‘Some remarks on fixing subgraphs and smoothly embeddable subgraphs’, J. Austral. Math. Soc. (Ser. A) 21, 120–128.CrossRefGoogle Scholar
Sheehan, J. (1972b), ‘Smoothly embeddable subgraphs—A survey, Combinatorics’, Proc. Conf. Comb. Math. (I.M.A., Southend-on-Sea, Essex).Google Scholar
Sheehan, J. (1974), ‘Smoothly embeddable subgraphs’, J. London Math. Soc. 9, 212–218.CrossRefGoogle Scholar
Whitney, H. (1932), ‘Congruent graphs and the connectivity of graphs’, Amer. J. Math. 54, 150–168.CrossRefGoogle Scholar
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