On the use of some almost sure graph properties

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Abstract

This paper deals with some almost sure graph properties. A very efficient algorithm is given which yields a sample graph from the uniform distribution on the set of all connected graphs of given size n. An almost surely canonical graph labelling and an algorithm which tries to find a Hamiltonian cycle in a given graph are discussed.

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Tinhofer, G. (1981). On the use of some almost sure graph properties. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 100 LNCS, pp. 113–126). Springer Verlag. https://doi.org/10.1007/3-540-10291-4_9

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