𝔖 Bobbio Scriptorium
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Almost every graph has a fixed edge

✍ Scribed by Hongbing Fan


Book ID
105641665
Publisher
Springer
Year
1998
Tongue
English
Weight
220 KB
Volume
43
Category
Article
ISSN
1001-6538

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## Abstract The paper contains a proof of the conjecture of Harary and Plantholt, stated in the title.

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Suppose that n i> 2t + 2 (t/> 17). Let G be a graph with n vertices such that its complement is connected and, for all distinct non-adjacent vertices u and v, there are at least t common neighbours. Then we prove that and Furthermore, the results are sharp.