AbstractIn 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(mod8) and n≠2pα with p an odd prime and α⩾1
AbstractIt is shown that the necessary conditions mn ≡ 0 (mod k) and (m − 1)nk ≡ 0 (mod 2(k − 1)) fo...
In this paper, we present a complete solution to the existence problem for a cyclic hamiltonian cycl...
We explicitly solve the existence problem for 1-rotational k-cycle systems of the complete graph $K_...
Diamond open accessIn this paper, we provide necessary and sufficient conditions for the existence of ...
AbstractIn this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a ...
AbstractWe prove that there exists a cyclic Hamiltonian k-cycle system of the complete graph if and ...
AbstractWe establish the necessary and sufficient conditions for the existence of a cyclic Hamiltoni...
AbstractLet Kn,n−I denote the complete bipartite graph with n vertices in each part from which a 1-f...
We prove that there exists a cyclic Hamiltonian k-cycle system of the complete graph if and only if ...
AbstractLet K2t+1,2t+1−I denote the complete bipartite graph K2t+1,2t+1 minus a 1-factor. In this pa...
Starting from earliest papers by Rosa we solve, directly and explicitly, the existence problem for c...
Dedicated to Curt Lindner on the occasion of his 65th birthday Let Kn,n − I denote the complete bipa...
AbstractStarting from earliest papers by Rosa we solve, directly and explicitly, the existence probl...
AbstractDudeney's round table problem asks for a set of Hamiltonian cycles in the complete graph Kn ...
AbstractLet k be an integer with k≥2 and let G be a graph having sufficiently large order n. Suppose...
AbstractIt is shown that the necessary conditions mn ≡ 0 (mod k) and (m − 1)nk ≡ 0 (mod 2(k − 1)) fo...
In this paper, we present a complete solution to the existence problem for a cyclic hamiltonian cycl...
We explicitly solve the existence problem for 1-rotational k-cycle systems of the complete graph $K_...
Diamond open accessIn this paper, we provide necessary and sufficient conditions for the existence of ...
AbstractIn this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a ...
AbstractWe prove that there exists a cyclic Hamiltonian k-cycle system of the complete graph if and ...
AbstractWe establish the necessary and sufficient conditions for the existence of a cyclic Hamiltoni...
AbstractLet Kn,n−I denote the complete bipartite graph with n vertices in each part from which a 1-f...
We prove that there exists a cyclic Hamiltonian k-cycle system of the complete graph if and only if ...
AbstractLet K2t+1,2t+1−I denote the complete bipartite graph K2t+1,2t+1 minus a 1-factor. In this pa...
Starting from earliest papers by Rosa we solve, directly and explicitly, the existence problem for c...
Dedicated to Curt Lindner on the occasion of his 65th birthday Let Kn,n − I denote the complete bipa...
AbstractStarting from earliest papers by Rosa we solve, directly and explicitly, the existence probl...
AbstractDudeney's round table problem asks for a set of Hamiltonian cycles in the complete graph Kn ...
AbstractLet k be an integer with k≥2 and let G be a graph having sufficiently large order n. Suppose...
AbstractIt is shown that the necessary conditions mn ≡ 0 (mod k) and (m − 1)nk ≡ 0 (mod 2(k − 1)) fo...
In this paper, we present a complete solution to the existence problem for a cyclic hamiltonian cycl...
We explicitly solve the existence problem for 1-rotational k-cycle systems of the complete graph $K_...
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