Improved Sufficient Conditions for Hamiltonian Properties
Discussiones Mathematicae Graph Theory, 2015 In 1980 Bondy [2] proved that a (k+s)-connected graph of order n ≥ 3 is traceable (s = −1) or Hamiltonian (s = 0) or Hamiltonian-connected (s = 1) if the degree sum of every set of k+1 pairwise nonadjacent vertices is at least ((k+1)(n+s−1)+1)/2.
Bode Jens-P. +2 more
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A Theoretical Mechanism for the Action of SONG-Modulated Laser Light on Human Very Small Embryonic-Like (hVSEL) Stem Cells in Platelet Rich Plasma (PRP) [PDF]
CellR4, 2021 It has previously been shown that human very small embryonic-like (hVSEL) stem cell proliferation occurs rapidly when hVSEL stem cells in platelet rich plasma (PRP) are exposed to Strachan Ovokaitys Node Generator (SONG)-modulated laser light.
J. Brindley, P. Hollands, T. Ovokaitys
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Analytical results for phase bunching in the pendulum model of wave-particle interactions
Frontiers in Astronomy and Space Sciences, 2022 Radiation belt electrons are strongly affected by resonant interactions with cyclotron-resonant waves. In the case of a particle passing through resonance with a single, coherent wave, a Hamiltonian formulation is advantageous.
Jay M. Albert +5 more
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Dynamic properties of the attachment oscillator arising in the nanophysics
Open Physics, 2023 The attachment oscillator, which plays an important role in the nanophysics such as nano/microelectromechanical systems, molecular devices, and nanofibers, is studied in this work.
Wang Kang-Jia, Si Jing
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Heliyon, 2023 Under the influence of axial forces and uniform temperature variations, the thermal buckling and postbuckling of composite beams reinforced of functionally graded multilayer graphene platelets (GPLs) resting on nonlinear elastic foundations are examined.
Ying Lv, Jing Zhang, Lianhe Li
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Delay Differential Model for Tumour-Immune System With Chemo-therapy and Optimal Control [PDF]
ITM Web of Conferences, 2020 In this paper, we present a mathematical model of tumour-immune interactions in presence of chemotherapy treatment. The model is governed by a system of delay differential equations with optimal control variables.
Rihan Fathalla A., Rihan Bassel F.
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Forbidden Subgraphs for Existences of (Connected) 2-Factors of a Graph
Discussiones Mathematicae Graph Theory, 2023 Clearly, having a 2-factor in a graph is a necessary condition for a graph to be hamiltonian, while having an even factor in graph is a necessary condition for a graph to have a 2-factor.
Yang Xiaojing, Xiong Liming
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The influence of the phase transformation: Fhyd → Fe3O4, occurs during the annealing treatment of Sol-Gel synthesis, on the absorption properties of the final synthesis product: Fe3O4/C hollow-sphere nanoparticles [PDF]
Scientific Technical ReviewIn this paper, we perform a theoretical study of the possible improvement of the absorption properties ( ) of the sample consisting of Fe3O4/C hollow sphere nanoparticles, prepared by sol-gel method.
Nikolić Violeta +2 more
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Research on Flight Collision Avoidance Control on The Sun-Earth Libration Points Based on Barrier Theory [PDF]
Xibei Gongye Daxue Xuebao, 2018 In the spacecraft formation task, a spacecraft failure or formation of the mission to change the need for reconstruction of the formation. In the process of reconstruction, how to carry out spacecraft anti-collision has been widespread concern.
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On degree-sequence characterization and the extremal number of edges for various Hamiltonian properties under fault tolerance [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Assume that $n, \delta ,k$ are integers with $0 \leq k < \delta < n$. Given a graph $G=(V,E)$ with $|V|=n$. The symbol $G-F, F \subseteq V$, denotes the graph with $V(G-F)=V-F$, and $E(G-F)$ obtained by $E$ after deleting the edges with at least one ...
Shih-Yan Chen, Shin-Shin Kao, Hsun Su
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