TSP tour domination and Hamilton cycle decompositions of regular digraphs

Random Matchings Which Induce Hamilton C

Random Matchings Which Induce Hamilton Cycles and Hamiltonian Decompositions of Random Regular Graphs

✍ Jeong Han Kim; Nicholas C. Wormald 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 215 KB

Select four perfect matchings of 2n vertices, independently at random. We find the asymptotic probability that each of the first and second matchings forms a Hamilton cycle with each of the third and fourth. This is generalised to embrace any fixed number of perfect matchings, where a prescribed set