The Hamiltonian Cycle Problem
Reducing the generalised Sudoku problem to the Hamiltonian cycle problem
... Sudoku problem with N symbols is known to be NP-complete, and hence is equivalent to any other NP- complete problem, even for the standard restricted version where N is a perfect ...classical, ...
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The Hamiltonian Cycle Problem on Circular-Arc Graphs
... cover problem on interval ...the Hamiltonian cycle problem on circular- arc ...the Hamiltonian cycle problem on circular-arc ...
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A non-standard branch and bound method for the Hamiltonian cycle problem
... The Hamiltonian cycle problem is considered to be a very difficult problem to solve and it is well-known to be ...the Hamiltonian cycle problem, most of which are based on ...
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A New Heuristic for the Hamiltonian Circuit Problem
... First and foremost discovery of an algorithm for the knight’s tour problem was by H.C. Warnsdorff in 1823. Like other mathematicians, Warnsdorff described the knight’s tour as a mathematical puzzle. Later it was ...
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Complexity of Hamiltonian Cycle Reconfiguration
... reconfiguration; Hamiltonian cycle; PSPACE-complete; split graphs; strongly chordal graphs; unit interval graphs ...reconfiguration problem asks, given two feasible solutions of a combinatorial ...
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The Hamiltonian Alternating Path Problem
... alternating cycle in G corresponds to a directed cycle in D and vice ...the Hamiltonian alternating cycle problem and the problem to find an alternating cycle through a ...
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Hamiltonian Cycle in Complete Multipartite Graphs
... of problem from the elementary to the high order research in the study of ...spanning cycle in a graph is named as the Hamiltonian Cycle after the famous Irish Mathematician Sir William Rowan ...
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Solving a Hamiltonian Path Problem with a bacterial computer
... We used mathematical modeling to examine several important questions about the system. The first question is whether the order and orientation of the DNA edges in a starting construct affect the probability of detecting ...
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Enhanced prim's algorithm for finding the hamiltonian cycle in a graph
... Salesman Problem (TSP) is known as one of the oldest combinatorial optimisation problem which solves the path problem in weighted ...same problem with a lot of applications in the world ...
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Reconfigurations of Combinatorial Problems: Graph Colouring and Hamiltonian Cycle
... a problem worth explor- ing, independently of how high is the expectation of it following the established pattern or of falling into the ...each problem maintains its own ...original problem, this ...
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A note on the number of edges in a Hamiltonian graph with no repeated cycle length
... a cycle of length n, it may be constructed by adding chords to a cycle of length ...no cycle of length Ω(n). This motivated Markstr¨ om to pose the problem of determining the maximum number of ...
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An Algorithm for Computing a Hamiltonian Cycle of Given Points in a Polygonal Region
... Hamiltonian cycle. Besides, our solution sheds more light on the problem of developing a polynomial-time solution to the open problem of computing the simple Hamiltonian path from a ...
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Inverse Hamiltonian Cycle and inverse 3Dimensional Matching are coNP-complete
... inverse problem V − 1 would be, given a set of proofs Π , evaluate the proofs to compute a ‘‘candidate string’’ x and then check if x satisfies V ( x ) = Π ...
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Research Article On Hamiltonian Decomposition Problem of 3-Arc Graphs
... Next we process edges on cycles in the cactus B. Since Δ(B) ≤ 3, any two distinct cycles in B are vertex- and edge- disjoint. We process these cycles one by one. Let L � x 1 , x 2 , . . . , x l , x 1 be an arbitrary ...
Twin constrained Hamiltonian paths on threshold graphs: an approach to the minimum score separation problem
... a cycle-splitting solution can be decided solely on the basis of the existence of a structure-preserving solution or one of four speci…c types of cycle-splitting ...
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Eigenvalue problem of Hamiltonian operator matrices
... The method of separation of variables, also known as the Fourier method, is one of the most effective tools in analytically solving the problems from mathematical physics. This method will lead to the eigenvalue ...
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Hamiltonian Cycle, 3-Color, Circuit-SAT
... Question: Can the vertices of the graph be colored using k colors so that vertices connected by an edge do not get the same color?... Graph Coloring.[r] ...
A Hamiltonian cycle in the square of a 2 connected graph in linear time
... Finally, we transform the Euler tour J into a Hamiltonian cycle, which we call H, by replacing some pairs of edges of G G by single edges of G 2 . More precisely, when we traverse the Euler tour J, we ...
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Ant colony optimization techniques for the hamiltonian p-median problem
... Furthermore, for attainment of improved solutions to the problem, we can use the route improvement strategies in the algorithms. One of these strategies involves the inclusion of a local exchange procedure to act ...
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Hamiltonian formulation of the problem of a single vortex evolution on a beta-plane
... Evolution of a single intense vortex on the ß-plane is studied based on the “elliptical approach” which was introduced by Legras and Dritschel for description of the eddies with uniform vorticity. A vortex is represented ...
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