AbstractWe establish the necessary and sufficient conditions for the existence of a cyclic Hamiltonian cycle system of λKv and of λ(K2v−I). We also consider the existence problem for cyclic Hamiltonian cycle systems of λKv that are simple, i.e., without repeated cycles, solving it in the case that v is a prime
AbstractLet G be a graph of order n≥3. An even squared Hamiltonian cycle (ESHC) of G is a Hamiltonia...
The notion of a symmetric Hamiltonian cycle system (HCS) of a graph $\Gamma$ has been introduced and...
AbstractThe generalized Petersen graph P(n, k) has vertex set V={u0, u1, …, un−1, v0, v1, …, vn−1} a...
AbstractWe establish the necessary and sufficient conditions for the existence of a cyclic Hamiltoni...
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 ...
We establish the necessary and sufficient conditions for the existence of a cyclic Hamiltonian cycle...
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...
AbstractStarting from earliest papers by Rosa we solve, directly and explicitly, the existence probl...
Diamond open accessIn this paper, we provide necessary and sufficient conditions for the existence of ...
The existence problem for a Hamiltonian cycle decomposition of K_{2n} − I (the so called cocktail pa...
Starting from earliest papers by Rosa we solve, directly and explicitly, the existence problem for c...
The existence problem for a Hamiltonian cycle decomposition of $K_{2n} − I$ (the so called cocktail ...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
AbstractLet G be a graph of order n≥3. An even squared Hamiltonian cycle (ESHC) of G is a Hamiltonia...
The notion of a symmetric Hamiltonian cycle system (HCS) of a graph $\Gamma$ has been introduced and...
AbstractThe generalized Petersen graph P(n, k) has vertex set V={u0, u1, …, un−1, v0, v1, …, vn−1} a...
AbstractWe establish the necessary and sufficient conditions for the existence of a cyclic Hamiltoni...
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 ...
We establish the necessary and sufficient conditions for the existence of a cyclic Hamiltonian cycle...
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...
AbstractStarting from earliest papers by Rosa we solve, directly and explicitly, the existence probl...
Diamond open accessIn this paper, we provide necessary and sufficient conditions for the existence of ...
The existence problem for a Hamiltonian cycle decomposition of K_{2n} − I (the so called cocktail pa...
Starting from earliest papers by Rosa we solve, directly and explicitly, the existence problem for c...
The existence problem for a Hamiltonian cycle decomposition of $K_{2n} − I$ (the so called cocktail ...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
AbstractLet G be a graph of order n≥3. An even squared Hamiltonian cycle (ESHC) of G is a Hamiltonia...
The notion of a symmetric Hamiltonian cycle system (HCS) of a graph $\Gamma$ has been introduced and...
AbstractThe generalized Petersen graph P(n, k) has vertex set V={u0, u1, …, un−1, v0, v1, …, vn−1} a...
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