The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices of G. This problem is a classic NP-complete problem. So far, finding an exact al...
Hajo Broersma, Fedor V. Fomin, Pim van 't Hof, Dan...
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
We propose a new crossover that generalizes cycle crossover to permutations with repetitions and naturally suits partition problems. We tested it on graph partitioning problems ob...
Alberto Moraglio, Yong-Hyuk Kim, Yourim Yoon, Byun...
In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn - I, exist if and only if n 2, 4( mod 8) and n = 2p with p
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...