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08/14/2022
An improved lower bound on the length of the longest cycle in random graphs
We provide a new lower bound on the length of the longest cycle of the b...
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11/29/2021
A fast algorithm on average for solving the Hamilton Cycle problem
We present CertifyHAM, an algorithm which takes as input a graph G and e...
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11/29/2021
Fast algorithms for solving the Hamilton Cycle problem with high probability
We study the Hamilton cycle problem with input a random graph G=G(n,p) i...
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07/07/2021
On a k-matching algorithm and finding k-factors in random graphs with minimum degree k+1 in linear time
We prove that for k+1≥ 3 and c>(k+1)/2 w.h.p. the random graph on n vert...
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03/14/2018