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238  Articles
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Let A be a nontrivial abelian group. A connected simple graph G = (V, E) is A-antimagic, if there exists an edge labeling f : E(G)?A \ {0A} such that the induced vertex labeling f+(v)=?{u, v}?E(G)f({u, v}) is a... see more

A Hamiltonian graph G = (V,E) is called hyper-Hamiltonian if G-v is Hamiltonian for any v ? V(G). G is called a circulant if its automorphism group contains a |V(G)|-cycle.  First, we give the necessary and sufficient conditions for any undirected co... see more

In this paper we present some recent multiplicity results for a class of second order Hamiltonian systems. Exploiting the variational structure of the problem, it will be shown how the existence of multiple, even infinitely many, periodic solutions can be... see more

We determine the full automorphism group of each member of three infinite families of connected cubic graphs which are snarks. A graph is said to be nearly hamiltonian if it has a cycle which contains all vertices but one. We prove, in particular, that fo... see more

From Steiner systems S(k - 2, 2k - 3, v), we construct k-uniform hyper- graphs of large size without Hamiltonian cycles. This improves previous estimates due to G. Y. Katona and H. Kierstead [J. Graph Theory 30 (1999), pp.  205–212].

A Hamiltonian cycle in a connected graph G is defined as a closed walk that traverses every vertex of G exactly once, except the starting vertex at which the walk also terminates. If an edge from a Hamiltonian cycle is removed, it forms a path calleda Ham... see more

It is well known that Benjamin-Feir instability plays a crucial role in generating underseas rogue waves, for which its formation process can be carried out within a short period of time, but causing devastating threats to our natural habitats. One can at... see more

The generalized Hamiltonian representation of systems gives structural advantages that can be used in many areas. Some of these are the design of nonlinear observer and model-based fault diagnosis. Many works have as start point the generalized Hamiltonia... see more

In this paper we formulate singular theories (determined by degenerate Lagrangians) without involving constraints. We construct a partial Hamiltonian formalism in reduced phase space (with arbitrary number of momenta). The equations of motion are fir... see more

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