hamiltonian cycle
An Algorithm for Computing a Hamiltonian Cycle of Given Points in a Polygonal Region
... a Hamiltonian cycle which avoids the boundary of P and accesses all points of ...a Hamiltonian cycle of given points in a simple polygon is a novel transformation of the general ...
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The Hamiltonian Cycle Problem on Circular-Arc Graphs
... —A Hamiltonian cycle in a graph G is a simple cycle in which each vertex of G appears ex- actly ...The Hamiltonian cycle problem involves testing whether a Hamiltonian ...
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A Hamiltonian cycle in the square of a 2 connected graph in linear time
... a Hamiltonian cycle in a graph is funda- mental and used in many graph algorithms, but is also known to be NP-complete (as shown by Karp [13], see also Garey and Johnson ...a Hamiltonian cycle ...
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Enhanced prim's algorithm for finding the hamiltonian cycle in a graph
... Being motivated by the method used in PA, this study has altered the existing PA in order to work out the TSP which will find the Hamiltonian cycle of the graph. In solving the combinatorial optimisation ...
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Hamiltonian Cycle in Complete Multipartite Graphs
... the Hamiltonian cycle using the vertices of other partite ...the cycle reaches a vertex of the set P, it can be extended to vertices of other partite sets before it reaches the set ...a ...
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Vol 15, No 2 (2015)
... be hamiltonian if it contains a hamiltonian cycle (a cycle passing all vertices of ...(Hamiltonian Cycle) is well-known a ...studied Hamiltonian Cycles in graphs with ...
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Sí, Se Puede (Yes, We Can), Culturally Relevant Biographies: A study on the impact of culturally relevant biographies on social studies instruction
... determined the forbidden pairs for 2-connected graphs containing a hamiltonian cycle. In 1975, Lov´asz and Plummer [34] conjectured that: Every 4-connected plane triangu- lation has a spanning Halin ...
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The R-Hyper-Panconnectedness of Faulty Crossed Cubes
... a Hamiltonian path of 𝐺 if it spans 𝐺. Similarly, a cycle is a Hamiltonian cycle of 𝐺 if it spans ...is Hamiltonian if it has a Hamiltonian cycle, and 𝐺 is ...
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Using Hamiltonian Totems as Passwords
... different Hamiltonian cycles in adjacent graphs and a new Hamiltonian cycle are ...one Hamiltonian cycle ...one cycle is left. The Hamiltonian cycle spreads on the ...
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Swarm Intelligence an Inspiration from Social Insect Behaviour in Various Decision Making Algorithms
... The Traveling Salesman problem (TSP) is one of the best known NP-hard problems. It consists of a salesman and a set of cities. The salesman has to visit each one of the cities starting from a certain city and returning ...
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Discrete Differential Geometry and the Structural Study of Protein Complexes
... This paper proposes a novel four-dimensional approach to the structural study of protein complexes. In the approach, the surface of a protein molecule is to be described using the intersection of a pair of ...
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A logical model of HCP
... the Hamiltonian Cycle Problem (HCP), using tools of Boolean algebra ...the Hamiltonian cycle, and uses m Boolean variables, where m is the number of the edges of a ...
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Numerical evidence for phase transitions of NP complete problems for instances drawn from Lévy stable distributions
... Using this idea, a cut-set heuristic is added to Culberson and Vandegriend’s algorithm and is used as a test to find graphs for which no Hamiltonian Cycle can occur. Graphs are initially filtered through ...
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Bipartite Kneser graphs are Hamiltonian
... Hamilton cycle — a cycle that visits every vertex exactly once — is a fundamental graph theoretical problem with a wide range of practical applications, shown to be NP-complete already in Karp’s landmark ...
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Sparse Kneser graphs are Hamiltonian
... Abstract. For integers k ≥ 1 and n ≥ 2k + 1, the Kneser graph K(n, k) is the graph whose vertices are the k-element subsets of {1, . . . , n} and whose edges connect pairs of subsets that are disjoint. The Kneser graphs ...
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Hamiltonian, Lagrangian and Physical Laws
... ∆ ⋅ ∆ ≥ (12) restricts the accuracy of quantum expressions for energy. However, stable quantum states like that of a free particle or of an atomic ground state last a long time. Hence, a quantum theory should provide a ...
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Hamiltonian Laceability in Line Graphs
... a Hamiltonian path between every pair of the distinct vertices in it at an odd ...a Hamiltonian-t-laceable if there exists a Hamiltonian path between every pair of the vertices u and v in G with the ...
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Exploring corrections to the optomechanical Hamiltonian
... for a single-mode cavity field of frequency ω ( ). Hence, within the two-mode approximation, we argue that Eq. (23) x ˆ should be a more reliable description of radiation pressure physics than Hamiltonian (2). In ...
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Hamiltonian Cayley Digraphs on Direct Products of Dihedral Groups
... One fundamental problem is that of determining which Cayley digraphs are Hamiltonian. This is a longstanding problem which can be traced back to bell ringing, or campanology, since the orders in which a set of ...
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Integrability of Hamiltonian Systems with Two Degrees of Freedom and Homogenous Potential of Degree Zero
... where V is a homogeneous function of degree 0. Although these systems arising from physics and applied sciences are generally understood to involve only real variables, we will assume that the Hamiltonian system ...
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