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The role of electronic excited states in the spin-lattice relaxation of spin-1/2 molecules. [PDF]
Mariano LA+7 more
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Thermalization and criticality on an analogue-digital quantum simulator. [PDF]
Andersen TI+226 more
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Quantum Circuit Based on Grover Algorithm to Solve Hamiltonian Cycle Problem
2022 IEEE 4th Eurasia Conference on IOT, Communication and Engineering (ECICE), 2022We propose the concepts of the explicit oracle and the implicit oracle for realizing quantum algorithms. Then, the quantum circuit of the well-known Grover algorithm is constructed with the explicit oracle to solve the Hamiltonian cycle problem for the ...
Jehn-Ruey Jiang
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Hamiltonian Cycle Parameterized by Treedepth in Single Exponential Time and Polynomial Space
International Workshop on Graph-Theoretic Concepts in Computer Science, 2020For many algorithmic problems on graphs of treewidth $t$, a standard dynamic programming approach gives an algorithm with time and space complexity $2^{\mathcal{O}(t)}\cdot n^{\mathcal{O}(1)}$.
Jesper Nederlof+3 more
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Dihedral Hamiltonian Cycle Systems of the Cocktail Party Graph
Journal of Combinatorial Designs, 2013Francesca Merola, Marco Buratti
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On Hamiltonian cycles and Hamiltonian paths
Information Processing Letters, 2005A Hamiltonian cycle is a spanning cycle in a graph, i.e., a cycle through every vertex, and a Hamiltonian path is a spanning path. In this paper we present two theorems stating sufficient conditions for a graph to possess Hamiltonian cycles and Hamiltonian paths.
Mohammad Kaykobad, M. Sohel Rahman
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