Results 41 to 50 of about 889,165 (240)
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.
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Hamiltonian paths on Platonic graphs
International Journal of Mathematics and Mathematical Sciences, 2004 We develop a combinatorial method to show that the dodecahedron graph has, up to rotation and reflection, a unique Hamiltonian cycle. Platonic graphs with this property are called topologically uniquely Hamiltonian. The same method is used to demonstrate
Brian Hopkins
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Advanced Materials, EarlyView.Co1/3TaS2${\rm Co}_{1/3}{\rm TaS}_{2}$ hosts a triple‐Q noncoplanar antiferromagnetic state with coexisting Z3${\rm Z}_3$ electronic nematicity. We report rotational hysteresis observed in both magnetoresistance and magnetic torque, revealing strongly pinned in‐plane weak ferromagnetic moments in the triple‐Q phase and the magnetism‐driven nature of ...
Joonyoung Choi +5 more
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A conjecture on the number of Hamiltonian cycles on thin grid cylinder graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Graph ...
Olga Bodroža-Pantić +2 more
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Hamiltonian Cycles in the Square of a Graph [PDF]
The Electronic Journal of Combinatorics, 2011 We show that under certain conditions the square of the graph obtained by identifying a vertex in two graphs with hamiltonian square is also hamiltonian. Using this result, we prove necessary and sufficient conditions for hamiltonicity of the square of a connected graph such that every vertex of degree at least three in a block graph corresponds to a
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Synthesis of Ti2B2Clx MBenes in Molten Salts From Theoretical and Experimental Perspectives
Advanced Materials, EarlyView.By integrating a theoretical framework with experiments, Ti2InB2 was selectively etched with ZnCl2 to produce a multilayer (ml) Ti2B2Clx MBene. The In atoms are completely removed, with simultaneous incorporation of chlorine surface terminations. in situ x‐ray diffraction indicates a direct biphasic transformation from Ti2InB2 to ml‐MBene, with no ...
Rodrigo M. Ronchi +15 more
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Hamiltonian Cycles on Ammann-Beenker Tilings
Physical Review XWe provide a simple algorithm for constructing Hamiltonian graph cycles (visiting every vertex exactly once) on a set of arbitrarily large finite subgraphs of aperiodic two-dimensional Ammann-Beenker (AB) tilings.
Shobhna Singh +2 more
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Matchings Extend to Hamiltonian Cycles in 5-Cube
Discussiones Mathematicae Graph Theory, 2018 Ruskey and Savage asked the following question: Does every matching in a hypercube Qn for n ≥ 2 extend to a Hamiltonian cycle of Qn? Fink confirmed that every perfect matching can be extended to a Hamiltonian cycle of Qn, thus solved Kreweras’ conjecture.
Wang Fan, Zhao Weisheng
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Mutual Adaptation and Influence: Review of Latent Dynamics Models in Human–Robot Interaction
Advanced Robotics Research, EarlyView.Robots are becoming better teammates by learning hidden patterns in how people act. This review covers how state‐of‐the‐art approaches leverage these patterns to help robots not only react but also anticipate and guide cooperation. Here, we synthesize a unifying framework for these approaches, classify and review existing works, and highlight key ...
Mason O. Smith +4 more
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The Importance of Metal‐Organic Framework Linker Atoms for CO2 Reduction: A DFT Study
Advanced Science, EarlyView.Using DFT, we examine the role of linker atoms in CO2 reduction on copper‐based metal organic frameworks (Cu MOFs). Our calculations reveal that linker atoms may serve as both CO2 and H‐shuttling sites and suggest linker electrostatics as a descriptor for linker activity. ABSTRACT Although the metal within the secondary building unit of a metal‐organic
Ugochukwu Nwosu, Samira Siahrostami
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