Abstract
We present an algorithm CRE, which either finds a Hamilton cycle in a graph G or determines that there is no such cycle in the graph. The algorithm's expected running time over input distribution G∼G(n,p) is (1+o(1))n/p, the optimal possible expected time, for (Formula presented.). This improves upon previous results on this problem due to Gurevich and Shelah, and to Thomason.
Original language | English |
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Pages (from-to) | 32-46 |
Number of pages | 15 |
Journal | Random Structures and Algorithms |
Volume | 57 |
Issue number | 1 |
DOIs | |
State | Published - 1 Aug 2020 |
Keywords
- Hamilton cycles
- expected polynomial time algorithms
- random graphs