An Image Encryption Algorithm Based on Random Hamiltonian Path [PDF]
In graph theory, Hamiltonian path refers to the path that visits each vertex exactly once. In this paper, we designed a method to generate random Hamiltonian path within digital images, which is equivalent to permutation in image encryption.
Wei Zhang +4 more
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Hamiltonian path analysis of viral genomes [PDF]
Cryo-electron microscopy (EM) is undergoing a revolution, enabling the study of viral pathogens in unprecedented detail. The asymmetric EM reconstruction of bacteriophage MS2 at medium resolution (8.7 Å) by Koning et al.1, and the subsequent reconstruction at even higher resolution (3.6 Å) by Dai et al.2 revealed the structures of both the protein ...
Reidun Twarock +2 more
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New Sufficient Conditions for Hamiltonian Paths [PDF]
A Hamiltonian path in a graph is a path involving all the vertices of the graph. In this paper, we revisit the famous Hamiltonian path problem and present new sufficient conditions for the existence of a Hamiltonian path in a graph.
M. Sohel Rahman +2 more
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Covariant Hamiltonian field theory. Path integral quantization [PDF]
The Hamiltonian counterpart of classical Lagrangian field theory is covariant Hamiltonian field theory where momenta correspond to derivatives of fields with respect to all world coordinates.
Bashkirov, D., Sardanashvily, G.
core +5 more sources
Dynamics of quantum systems driven by time-varying Hamiltonians: Solution for the Bloch-Siegert Hamiltonian and applications to NMR [PDF]
Comprehending the dynamical behavior of quantum systems driven by time-varying Hamiltonians is particularly difficult. Systems with as little as two energy levels are not yet fully understood as the usual methods including diagonalization of the ...
Pierre-Louis Giscard, Christian Bonhomme
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DISTRIBUTED HAMILTONIAN PATH SEARCH ALGORITHM
Many practical problems of transportation can be transformed to the problem of finding Hamiltonian path or circle. It was proven, that this problem is NP-complete and thus can be very time-consuming for practical problem size. In this paper we present a
Karol Grondžák
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Finding Hamiltonian and Longest (s,t)-Paths of C-Shaped Supergrid Graphs in Linear Time
A graph is called Hamiltonian connected if it contains a Hamiltonian path between any two distinct vertices. In the past, we proved the Hamiltonian path and cycle problems for general supergrid graphs to be NP-complete.
Fatemeh Keshavarz-Kohjerdi, Ruo-Wei Hung
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Quantum Zeno approach for molecular energies with maximum commuting initial Hamiltonians
We propose to use a quantum adiabatic and simulated-annealing framework to compute the ground state of small molecules. The initial Hamiltonian of our algorithms is taken to be the maximum commuting Hamiltonian that consists of a maximal set of commuting
Hongye Yu, Tzu-Chieh Wei
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Hamiltonian Cycle Problem in Strong k-Quasi-Transitive Digraphs With Large Diameter
Let k be an integer with k ≥ 2. A digraph is k-quasi-transitive, if for any path x0x1... xk of length k, x0 and xk are adjacent. Let D be a strong k-quasi-transitive digraph with even k ≥ 4 and diameter at least k +2.
Wang Ruixia
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Properties of SuperHyperGraph and Neutrosophic SuperHyperGraph [PDF]
New setting is introduced to study dominating, resolving, coloring, Eulerian(Hamiltonian) neutrosophic path, n-Eulerian(Hamiltonian) neutrosophic path, zero forcing number, zero forcing neutrosophicnumber, independent number, independent neutrosophic ...
Henry Garrett
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