Results 51 to 60 of about 3,188,937 (280)
Small cycles, generalized prisms and Hamiltonian cycles in the Bubble-sort graph
, 2019 The Bubble-sort graph $BS_n,\,n\geqslant 2$, is a Cayley graph over the symmetric group $Sym_n$ generated by transpositions from the set $\{(1 2), (2 3),\ldots, (n-1 n)\}$.
Konstantinova, Elena V. +1 more
core +1 more source
On the Minimum Number of Hamiltonian Cycles in Regular Graphs [PDF]
Experimental Mathematics, 2016 A graph construction that produces a k-regular graph on n vertices for any choice of k ⩾ 3 and n = m(k + 1) for integer m ⩾ 2 is described. The number of Hamiltonians cycles in such graphs can be explicitly determined as a function of n and k, and ...
M. Haythorpe
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Permanent magnets derive their extraordinary strength from deep, universal electronic‐structure principles that control magnetization, anisotropy, and intrinsic performance. This work uncovers those governing rules, examines modern modeling and AI‐driven discovery methods, identifies critical bottlenecks, and reveals electronic fingerprints shared ...
Prashant Singh
wiley +1 more source
Finding hamiltonian cycles on incrementally extensible hypercube graphs [PDF]
[[abstract]]The existence of a Hamiltonian cycle is the premise of usage in an interconnection network. A novel interconnection network, the incrementally extensible hypercube (IEH) graph, has been proposed. The IEH graphs are derived from hypercubes and
[[alternative]]葛煥昭, Keh, Huan-chao
core +1 more source
Complexity of Hamiltonian Cycle Reconfiguration [PDF]
Algorithms, 2018 The Hamiltonian cycle reconfiguration problem asks, given two Hamiltonian cycles C 0 and C t of a graph G, whether there is a sequence of Hamiltonian cycles C 0 , C 1 , … , C t such that C i can be obtained from C i − 1 by a switch for each i with 1 ≤ i ≤ t , where a switch is the replacement of a ...
openaire +2 more sources
Advanced Functional Materials, EarlyView.Strong exciton‐photon coupling is achieved by integrating porphyrin ligand‐based MOF nanoparticles in optical cavities, as evidenced by pronounced polariton branch anticrossing. The porous nature of the resonator enables precise, reversible tuning via vapor pressure, unlocking unprecedented chemical‐environment controlled dynamic polaritonic platforms ...
Beatriz de Sola‐Báez +7 more
wiley +1 more source
A Survey on Hamiltonian Cycles
Interdisciplinary Information Sciences, 2001 The author surveys some of the classical results on Hamiltonian cycles in undirected graphs and pays particular attention to the development over the last decade. Among the subjects are: binding number, toughness, degree conditions, closure, regular graphs, and graphs on surfaces. This is intended as a supplement to the survey of \textit{R. J.
openaire +3 more sources
Advanced Functional Materials, EarlyView.Tin hexathiophosphate memristors leverage intrinsic nanopores together with a guided filament formation strategy to regulate titanium ion motion and switching behavior. The devices support reliable nonvolatile memory and reconfigurable logic‐in‐memory, demonstrating 14 Boolean logic functions in a single cell.
Thaw Tint Te Tun +7 more
wiley +1 more source
Loose Hamiltonian Cycles Forced by Large (k-2)-Degree - Approximate Version [PDF]
SIAM Journal on Discrete Mathematics, 2016 We prove that for all $k\geq 4$ and $1\leq ...
J. D. O. Bastos +4 more
semanticscholar +1 more source
Strain Engineering of Magnetoresistance and Magnetic Anisotropy in CrSBr
Advanced Materials, EarlyView.Biaxial compressive strain significantly enhances magnetoresistance and critical saturation fields in thin flakes of the 2D magnet CrSBr, along all three crystallographic axes. First‐principles calculations link these effects to strain‐induced increases in exchange interactions and magnetic anisotropy.
Eudomar Henríquez‐Guerra +19 more
wiley +1 more source