Results 51 to 60 of about 446,387 (282)
Powers of Hamilton cycles in random graphs and tight Hamilton cycles in random hypergraphs [PDF]
Random Structures & Algorithms, 2018 AbstractWe show that for every there exists C > 0 such that if then asymptotically almost surely the random graph contains the kth power of a Hamilton cycle. This determines the threshold for appearance of the square of a Hamilton cycle up to the logarithmic factor, improving a result of Kühn and Osthus.
Rajko Nenadov, Nemanja Skoric
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Acute caffeine treatment protects the developing retina from ischemia‐induced cell death
FEBS Open Bio, EarlyView.Caffeine reduces cell death in the developing retina under ischemia (OGD). This effect does not involve BDNF upregulation or antioxidant pathways (NRF2/VEGF). Neuroprotection occurs mainly through adenosine A2A receptor antagonism, decreasing glutamate release and excitotoxicity, highlighting caffeine's potential as an acute neuroprotective agent in ...
Amanda Alves Nascimento +6 more
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Edge Disjoint Hamilton Cycles in Knödel Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 The vertices of the Knödel graph $W_{\Delta, n}$ on $n \geq 2$ vertices, $n$ even, and of maximum degree $\Delta, 1 \leq \Delta \leq \lfloor log_2(n) \rfloor$, are the pairs $(i,j)$ with $i=1,2$ and $0 \leq j \leq \frac{n}{2} -1$.
Palanivel Subramania Nadar Paulraja +1 more
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Rainbow Hamilton Cycles in Uniform Hypergraphs [PDF]
The Electronic Journal of Combinatorics, 2012 Let $K_n^{(k)}$ be the complete $k$-uniform hypergraph, $k\ge3$, and let $\ell$ be an integer such that $1\le \ell\le k-1$ and $k-\ell$ divides $n$. An $\ell$-overlapping Hamilton cycle in $K_n^{(k)}$ is a spanning subhypergraph $C$ of $K_n^{(k)}$ with $n/(k-\ell)$ edges and such that for some cyclic ordering of the vertices each edge of $C$ consists
Andrzej Dudek +2 more
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Biomass Native Structure Into Functional Carbon‐Based Catalysts for Fenton‐Like Reactions
Advanced Functional Materials, EarlyView.This study indicates that eight biomasses with 2D flaky and 1D acicular structures influence surface O types, morphology, defects, N doping, sp2 C, and Co nanoparticles loading in three series of carbon, N‐doped carbon, and cobalt/graphitic carbon. This work identifies how these structural factors impact catalytic pathways, enhancing selective electron
Wenjie Tian +7 more
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A Fan-Type Heavy Pair Of Subgraphs For Pancyclicity Of 2-Connected Graphs
Discussiones Mathematicae Graph Theory, 2016 Let G be a graph on n vertices and let H be a given graph. We say that G is pancyclic, if it contains cycles of all lengths from 3 up to n, and that it is H-f1-heavy, if for every induced subgraph K of G isomorphic to H and every two vertices u, v ∈ V (K)
Wideł Wojciech
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PLoS ONE, 2021 Animal experiments have consistently shown that estrogen receptor β (ERβ)-selective ligands have antidepressant and anxiolytic effects. In humans, endogenous ligands for ERβ include 5α-androstane-3β, 17β-diol (3βAdiol) and androstenediol (Δ5-diol).
Haruka Tanabe +6 more
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Parameterized TSP: Beating the Average [PDF]
, 2014 In the Travelling Salesman Problem (TSP), we are given a complete graph $K_n$ together with an integer weighting $w$ on the edges of $K_n$, and we are asked to find a Hamilton cycle of $K_n$ of minimum weight.
Gutin, Gregory, Patel, Viresh
core
Powers of Hamilton cycles in tournaments
Journal of Combinatorial Theory, Series B, 1990 AbstractOur main aim is to show that for every ε > 0 and k ∈ N there is an n(ε, k) such that if T is a tournament of order n ≥n(ε, k) and in T every vertex has indegree at least (14+ε)n and at most (34−ε)n then T contains the kth power of a Hamilton cycle.
Béla Bollobás, Roland Häggkvist
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Polarizable Vanadium Dipoles Promote Water Dissociation on Vanadium‐Based Metal Organic Framework
Advanced Functional Materials, EarlyView.The polarization of unpaired V 3d electrons weakens the H─O bond to improve water dissociation by the dual Vδ+:O─H and Pλ−:H─O coupling hydrogen bonds formation and relaxation. P@V‐MOF electrocatalyst shows low overpotentials (94 mV in acid, 178 mV in neutral, and 77 mV in alkaline solutions) with excellent stability for effective overall water ...
Xinjuan Liu +13 more
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