Results 81 to 90 of about 889,165 (240)
4-regular 4-connected Hamiltonian graphs with a bounded number of Hamiltonian cycles
, 2021 We prove that there exists an infinite family of 4-regular 4-connected Hamiltonian graphs with a bounded number of Hamiltonian cycles. We do not know whether there exists such a family of 5-regular 5-connected Hamiltonian graphs.
Zamfirescu, Carol +2 more
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Molecular Rectification: Mechanisms, Modulation Strategies, and Device Realization
Advanced Science, EarlyView.This review focuses on molecular rectification, from its fundamental mechanisms and modulation strategies to device realization. It summarizes the theoretical framework, modulation strategies, fabrication techniques, characterization methods, and modeling and simulation of molecular rectifiers, while discussing challenges and future directions for ...
Junnan Guo +8 more
wiley +1 more source
Identifying Hamilton cycles in the Cartesian product of directed cycles
AKCE International Journal of Graphs and Combinatorics, 2020 Let be a Cartesian product of directed cycles. It is known that has a Hamilton cycle if there is a permutation of that satisfies and for some positive integers , where . In addition, if then has two arc-disjoint Hamilton cycles.
Zbigniew R. Bogdanowicz
doaj +1 more source
Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters
Advances in Difference Equations, 2020 This paper is concerned with the number of limit cycles bifurcating from a period annulus for some planar piecewise smooth non-Hamiltonian systems. We construct a planar piecewise quadratic system with multiple parameters, obtain its lower bound for the ...
Shuhua Gong, Maoan Han
doaj +1 more source
On pre-Hamiltonian Cycles in Hamiltonian Digraphs [PDF]
, 2014 Let $D$ be a strongly connected directed graph of order $n\geq 4$. In \cite{[14]} (J. of Graph Theory, Vol.16, No. 5, 51-59, 1992) Y. Manoussakis proved the following theorem: Suppose that $D$ satisfies the following condition for every triple $x,y,z$ of vertices such that $x$ and $y$ are non-adjacent: If there is no arc from $x$ to $z$, then $d(x)+d(y)
openaire +2 more sources
Sliding Ferroelectric Metals: An Emerging Frontier
Advanced Science, EarlyView.This Perspective highlights recent advances in sliding ferroelectric metals, focusing on the coexistence of switchable polarization and metallicity. Representative nonmagnetic and magnetic systems are discussed, together with Berry‐curvature memory, superconducting switching, triply‐coupled switching, magnetoelectric coupling, and electrically ...
Ying Yang +3 more
wiley +1 more source
Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems
Abstract and Applied Analysis, 2014 We study the number and distribution of limit cycles of some planar Z4-equivariant quintic near-Hamiltonian systems. By the theories of Hopf and heteroclinic bifurcation, it is proved that the perturbed system can have 24 limit cycles with some new ...
Simin Qu +3 more
doaj +1 more source
Magnetoelectric Multiferroics for the Next‐Generation Ultralow‐Power Electronics
Advanced Science, EarlyView.Magnetoelectric coupling provides a unifying route from electric‐field control of magnetic order to non‐volatile MeRAM, MESO logic, and emerging antiferromagnetic and magnonic devices. By connecting switching physics with device benchmarks, material platforms, and integration strategies, distinctive technological opportunities are identified alongside ...
Yang Liu +13 more
wiley +1 more source
On the Number of Limit Cycles of a Piecewise Quadratic Near-Hamiltonian System
Abstract and Applied Analysis, 2014 This paper is concerned with the problem for the maximal number of limit cycles for a quadratic piecewise near-Hamiltonian system. By using the method of the first order Melnikov function, we find that it can have 8 limit cycles.
Jing Tian
doaj +1 more source