Results 101 to 110 of about 2,225,625 (302)
Graph Invariants and Large Cycles: A Survey
International Journal of Mathematics and Mathematical Sciences, 2011 Graph invariants provide a powerful analytical tool for investigation of abstract substructures of graphs. This paper is devoted to large cycle substructures, namely, Hamilton, longest and dominating cycles and some generalized cycles including Hamilton ...
Zh. G. Nikoghosyan
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Transversal Hamilton Paths and Cycles
SIAM Journal on Discrete MathematicsAbstract. Given a collection [Formula: see text] of graphs on the common vertex set [Formula: see text] of size [Formula: see text], an [Formula: see text]-edge graph [Formula: see text] with vertices in [Formula: see text] is a transversal in [Formula: see text] if there exists a bijection [Formula: see text] such that [Formula: see ...
Yangyang Cheng +3 more
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Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
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k-Ordered Hamilton cycles in digraphs
Journal of Combinatorial Theory, Series B, 2008 Given a digraph D, the minimum semi-degree of D is the minimum of its minimum indegree and its minimum outdegree. D is k-ordered Hamiltonian if for every ordered sequence of k distinct vertices there is a directed Hamilton cycle which encounters these vertices in this order.
Daniela Kühn +2 more
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Introducing the Richard W. Couper Press of the Hamilton College Library [PDF]
, 2006 The Hamilton College Library is pleased to announce the establishment of a new press that should be of interest to scholars in the field of communal societies. The press, named the Richard W.
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Autonomous High‐Throughput Characterization of Liquid‐Liquid Phase Behavior
Advanced Science, EarlyView.This study introduces an automated dual modality platform, combining asymmetric capacitance deviation and multiangle turbidimetry, for high‐throughput characterization of liquid‐liquid phase behavior across chemically diverse fluid systems. The platform enables miscibility classification, resolution of phase separation kinetics and emulsion stability ...
Tarek Eid +3 more
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Counterexample to a conjecture on Hamilton cycles
Discrete Mathematics, 1987 We disprove the following conjecture [cf. ''Unsolved problems'', Cycles in graphs, Workshop Simon Fraser Univ., Burnaby/Can. 1982, Ann. Discrete Math. 27, 461-468 (1985)]: Let G be a 2-connected graph with minimum degree n on atmost 3n-2 vertices. Then G is Hamiltonian if it has a 2- factor.
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Advanced Science, EarlyView.This study identifies an anterior cingulate cortex (ACC) to anterior insular cortex (AIC) glutamatergic (Glu) circuit that gates stress induced visceral hypersensitivity and anxiety. Circuit activation induces both phenotypes, whereas inhibition relieves them.
Junwen Wang +8 more
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Hamilton cycles in Euler tour graph
Journal of Combinatorial Theory, Series B, 1986 The Euler tour graph of an Euler graph G denoted by \(E_ u(G)\) is the undirected simple graph defined as follows: The vertices of \(E_ u(G)\) are the Euler tours of G and two Euler tours E and F are adjacent in \(E_ u(G)\) if they can be transformed from each other by a K- transformation which was introduced by Kotzig in 1966.
Zhang, F. J., Guo, X. F.
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Advanced Science, EarlyView.Multimetal Prussian blue analogues (PBAs) are converted by low‐temperature Ar annealing into a cavity/CN‐vacancy architecture that triggers in situ Ni exsolution, creating dense Ni‐PBA interfacial motifs. These motifs optimize water dissociation and H* adsorption in alkaline media, delivering markedly accelerated HER kinetics and long‐term stability ...
Shiqi Wang +5 more
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