On Cyclic Near-Hamiltonian Cycle System of the Complete Multigraph by Aldiabat, Raja'i, Ibrahim, Haslinda

“…cycle system of Kv is Hamiltonian when each of its cycles passes through all vertices of v K .In this paper, we propose a new type of cycle system called near-Hamiltonian cycle system of v K which has all its cycles of length v 1. …”
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Cyclic near-Hamiltonian cycle decomposition of 2-fold complete graph by Aldiabat, Raja’i, Ibrahim, Haslinda, Karim, Sharmila

“…In this paper, we formulate the existence of cyclic near-Hamiltonian cycle decomposition of 2Kv, for each odd v > 3. …”