Results 141 to 150 of about 746,739 (376)
Some properties of the generalized sierpiński gasket graphs [PDF]
Transactions on CombinatoricsThe generalized Sierpiński gasket graphs $S[G,t]$ are introduced as the graphs obtained from the Sierpiński graphs $S(G,t)$ by contracting single edges between copies of previous phases.
Fatemeh Attarzadeh +2 more
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Discrete Mathematics, 1988 AbstractFor simple connected graphs that are neither paths nor cycles, we define h(G) = min{m: Lm(G) is Hamiltonian} and l(G) = max{m: G has an arc of lengthm that is not both of length 2 and in aK3}, where an arc in G is a path in G whose internal vertices have degree two in G. We prove that h(G)⩽l(G) + 1.
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Percolation Hamiltonians [PDF]
, 2011 v3: final version, typos corrected; v2: references and some comments added; to appear in "Boundaries and spectra of random walks," proceedings of the Alp workshop Graz - St. Kathrein 2009, edited by D. Lenz, F.
Müller, Peter, Stollmann, Peter
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Spatial Coordination Structure‐Driven Enzyme‐Like Selectivity in Single‐Atom Nanozymes
Advanced Materials, EarlyView.Sun et al. reviews recent progress in enhancing the enzyme‐like catalytic selectivity of SAzymes through the rational design of their spatial coordination structures. They emphasize the structure‐activity relationships of various attributes of these coordination structures in promoting selective catalytic behavior, the strategic design of coordination ...
Qijun Sun +6 more
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Stimulated Raman Scattering with Optical Vortex Beams
Advanced Photonics Research, EarlyView.This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
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The Hamiltonian and Hypohamiltonian of Generalized Petersen Graph (GP_(n,9))
Jambura Journal of MathematicsThe study of Hamiltonian and Hypohamiltonian properties in the generalized Petersen graph GP_{n,k} is interesting due to the unique structure and characteristics of these graphs. The method employed in this study involves searching for Hamiltonian cycles
Susilawati Susilawati +3 more
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Advanced Photonics Research, EarlyView.In this study, it implements a high‐efficiency polarization‐entangled photon source based on single‐mode fiber coupling with a spectral brightness exceeding 2.0 MHz mW−1 nm−1, utilizing a spatial mode‐matching technique. The results of this study provide a more intuitive and practical guide for implementing high‐efficiency quantum light sources ...
Kyungdeuk Park +4 more
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Diagonal elliptic Bellman systems to stochastic differential games with discount control and noncompact coupling [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2009 We consider Bellman systems to stochastic differential games with quadratic cost functionals and a discount factor which may be influenced by the players. This leads to a diagonal elliptic system − Δu = H(x, u, ∇u) subject to boundary conditions where
Alain Bensoussan, Jens Frehse
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Preparing Magnon–Photon Pairs in a Cavity–Magnon–Qubit System
Advanced Photonics Research, EarlyView.By utilizing the photon blockade effect, hybrid magnon–photon quantum states are prepared in a cavity–magnon–qubit system. Through the analysis of correlation functions, the generated magnon–photon pairs are shown to exhibit high purity and strong correlations.
Yi Ren +3 more
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Hamiltonian Systems and Transformation in Hilbert Space [PDF]
, 1931 B. O. Koopman
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