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Native multi-qubit gates in transmon qubits via synchronous driving. [PDF]
Pratapsi SS, Cruz D, André P.
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On Hamiltonian cycles and Hamiltonian paths
Information Processing Letters, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rahman, M. Sohel, Kaykobad, M.
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Alternating Hamiltonian cycles
Israel Journal of Mathematics, 1976For natural numbers \(n\) and \(d\), let \(K_n(\Delta_c \leq d)\) denote a complete graph of order \(n\) whose edges are colored so that no vertex belongs to more than \(d\) edges of the same color, and where \(\Delta_c\) is the maximal degree in the subgraph formed by the edges of color \(c\). D. E. Daykin proved that if \(d=2\) and \(n \geq 6\), then
Bollobás, Béla, Erdős, Paul
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Science, 1996
L. Adleman has proposed and demonstrated a highly novel approach using DNA and the tools of molecular biology to solve the famous Hamiltonian cycle problem (HCP) of computer science: Given a directed graph on N vertices ( N cities and a set of R ≤ N 2 one-way roads connecting the cities), does there exist a subset of the roads in which a tour of the ...
Eric Lewin Altschuler +2 more
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L. Adleman has proposed and demonstrated a highly novel approach using DNA and the tools of molecular biology to solve the famous Hamiltonian cycle problem (HCP) of computer science: Given a directed graph on N vertices ( N cities and a set of R ≤ N 2 one-way roads connecting the cities), does there exist a subset of the roads in which a tour of the ...
Eric Lewin Altschuler +2 more
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Hamiltonian Cycles and Markov Chains
Mathematics of Operations Research, 1994In this paper we derive new characterizations of the Hamiltonian cycles of a directed graph, and a new LP-relaxation of the Traveling Salesman Problem. Our results are obtained via an embedding of these combinatorial optimization problems in suitably perturbed controlled Markov chains.
Filar, JA, Krass, D
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Applied Mathematics and Computation, 1992
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Hamiltonian Cycles of Adjacent Triples
Studies in Applied Mathematics, 1980A construction is given for ordering triples chosen from an ordered set of elements, so that each triple agrees with each neighbor in two of its members and has third member that is a neighbor of its neighbor's third member. Neighbors here are adjacent in order, and also the first is neighbor to the last among both elements and triples.
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A Remark on Hamiltonian Cycles
Mathematische Nachrichten, 1992AbstractLet G be an undirected and simple graph on n vertices. Let ω, α and χ denote the number of components, the independence number and the connectivity number of G. G is called a 1‐tough graph if ω(G – S) ⩽ |S| for any subset S of V(G) such that ω(G − S) > 1.
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