Results 71 to 80 of about 3,567,425 (361)
Advanced Functional Materials, EarlyView.Research on phase ratio‐dependent modulation of built‐in electric fields and d‐band centers in yolk–shell structured C@MoS2‐MoSe2 has determined that the C@3MoS2‐1MoSe2 configuration is optimal, which can achieve an optimal d‐band center position and enhance electrochemical performance.
Ruixian Duan +11 more
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A short proof of the middle levels theorem
Discrete Analysis, 2018 A short proof of the middle-levels theorem, Discrete Analysis 2018:8, 12 pp. Let $n$ be a positive integer, and define a bipartite graph where one vertex set consists of all subsets of $\{1,2,\dots,2n+1\}$ of size $n$, the other consists of all subsets ...
Petr Gregor +2 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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The number of cycles in a hamilton graph
Discrete Mathematics, 1994 Let \(f(G)\) denote the number of distinct cycles of a graph \(G\). Let \(\Gamma_ k\) be the collection of all Hamiltonian simple graphs of order \(n\) and size \(n+k\). Let \[ m(k)= \min\{f(G);\;G\in \Gamma_ k\},\quad M(k)= \max\{f(G);\;G\in \Gamma_ k\}. \] The reviewer and S. K.
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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
Amorphous High Entropy Alloy Nanosheets Enabling Robust Li–S Batteries
Advanced Functional Materials, EarlyView.Amorphous ultrathin FeCoNiMoW high entropy alloy nanosheets are incorporated into the polypropylene separator of lithium‐sulfur batteries, enhancing their capacity, rate performance, and cycling stability. Abstract High‐entropy alloys (HEAs) show great potential for catalyzing complex multi‐step reactions, but optimizing their parameters, i.e ...
Ren He +20 more
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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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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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The Hamilton-Waterloo Problem with even cycle lengths
, 2019 The Hamilton-Waterloo Problem HWP$(v;m,n;\alpha,\beta)$ asks for a 2-factorization of the complete graph $K_v$ or $K_v-I$, the complete graph with the edges of a 1-factor removed, into $\alpha$ $C_m$-factors and $\beta$ $C_n$-factors, where $3 \leq m < n$
Burgess, A. C. +2 more
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Advanced Functional Materials, EarlyView.A novel family of sodium hafnium chalcohalide SSEs is designed with dual‐anion frameworks. Compared to the halide SSEs, the mixed anion chalcohalide framework exhibits a more compact morphology, improved thermal and mechanical properties, and enhanced electrochemical performance with different cathode materials.
Zhi Liang Dong +13 more
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