A sufficient condition for 𝑘-path Hamiltonian digraphs [PDF]
, 1976 John A G Roberts
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Tree graph representation of hamiltonian paths
Computers & Mathematics with Applications, 1994 A Hamiltonian path of faces of a polyhedron consists of a sequence of adjacent faces which contains each face exactly once. This paper compares by using tree diagrams the Hamiltonian itineraries versus all possible itineraries of adjacent faces of the five regular polyhedrons. The graphs for the tetrahedron, octahedron and icosahedron are binary trees.
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Thermoelectric Processes of Quantum Normal‐Superconductor Interfaces
Annalen der Physik, EarlyView.Recent advances on using mesoscopic normal‐superconductor junctions for the thermoelectric effect is reviewed. A theoretical framework is presented for multiterminal configurations exploiting properties characterised by the interplay of the system reduced dimensionality and superconducting correlations.
Liliana Arrachea +5 more
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System-bath decomposition of the reaction path Hamiltonian for polyatomic scattering: Quantum perturbative treatment [PDF]
, 1982 William H. Miller, Steven D. Schwartz
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Hamiltonian paths with prescribed edges in hypercubes
Discrete Mathematics, 2007 AbstractGiven a set P of at most 2n-4 prescribed edges (n⩾5) and vertices u and v whose mutual distance is odd, the n-dimensional hypercube Qn contains a hamiltonian path between u and v passing through all edges of P iff the subgraph induced by P consists of pairwise vertex-disjoint paths, none of them having u or v as internal vertices or both of ...
Tomáš Dvořák, Petr Gregor
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Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices
Annalen der Physik, EarlyView.It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
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Quantum Jumps in Amplitude Bistability: Tracking a Coherent and Invertible State Localization
Annalen der Physik, EarlyView.A notable asymmetry is shown to characterize the bistable switching between macroscopic metastable states of light in the strong‐coupling limit of radiation–matter interaction. Transitions from the vacuum to a highly excited state correlate with a highly bunched sequence of emitted photons, while a downward switch to the vacuum involves a coherent ...
Th. K. Mavrogordatos
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On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral [PDF]
, 1996 Atsushi Inoue
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The Stochastic‐Dissipative Störmer Problem‐Trajectories and Radiation Patterns
Annalen der Physik, EarlyView.We consider charged particle motion and radiation in a dipole magnetic field, in the presence of friction and of stochastic forces. The numerical solutions of the Langevin equation reveal how these forces modify the complex dynamics of particles, and they offer some new insights into the nonlinear processes relevant to planetary radiation belts ...
Tiberiu Harko, Gabriela Raluca Mocanu
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Decomposition of Regular Bipartite Graphs Into Hamiltonian Cycles (Paths) and S3
Journal of MathematicsLet G be either a complete bipartite graph with n (even) vertices in each partite or a complete bipartite graph with n (odd) vertices in each partite plus a 1‐factor.
null V. Nalini, null S. Jeevadoss
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