Highly Influenced

4 Excerpts

- Published 2008 in SIAM J. Discrete Math.

An n-lift of a digraph K, is a digraph with vertex set V (K)× [n] and for each directed edge (i, j) ∈ E(K) there is a perfect matching between fibers {i} × [n] and {j} × [n], with edges directed from fiber i to fiber j. If these matchings are chosen independently and uniformly at random then we say that we have a random n-lift. We show that if h is sufficiently large then a random n-lift of the complete digraph ~ Kh is hamiltonian whp.

@article{Chebolu2008HamiltonCI,
title={Hamilton Cycles in Random Lifts of Directed Graphs},
author={Prasad Chebolu and Alan M. Frieze},
journal={SIAM J. Discrete Math.},
year={2008},
volume={22},
pages={520-540}
}