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A perfect match

Nature Reviews Microbiology, 2020
A recent study investigated bacterial–fungal symbioses and found that fungal responses to bacteria differed depending on whether the relationship was mutualistic or antagonistic.
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Perfect Matchings

Algorithms and Computation in Mathematics
Cláudio L. Lucchesi, U. S. R. Murty
semanticscholar   +3 more sources

Perfect Matchings in Random Sparsifications of Dirac Hypergraphs

Combinatorica, 2022
For all integers n≥k>d≥1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
D. Kang   +4 more
semanticscholar   +1 more source

The A-spectral radius and perfect matchings of graphs

Linear Algebra and its Applications, 2021
Let α ∈ [ 0 , 1 ) , and let G be a graph of even order n with n ≥ f ( α ) , where f ( α ) = 10 for 0 ≤ α ≤ 1 / 2 , f ( α ) = 14 for 1 / 2 α ≤ 2 / 3 and f ( α ) = 5 / ( 1 − α ) for 2 / 3 α 1 . In this paper, it is shown that if the A α -spectral radius of
Yanhua Zhao, Xueyi Huang, Zhiwen Wang
semanticscholar   +1 more source

A perfect match

Nature Reviews Chemistry, 2021
The kinetics of proton-coupled electron transfer during electrocatalytic oxygen reduction are optimized when hydrogen bonding between reaction intermediates and ionic liquids coating the catalyst is maximized.
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Erdős matching conjecture for almost perfect matchings

Discrete Mathematics, 2023
In 1965 Erdős asked, what is the largest size of a family of $k$-element subsets of an $n$-element set that does not have a matching of size $s+1$? In this note, we improve upon a recent result of Frankl and resolve this problem for $s>101k^{3}$ and $(s+1)k\le n<(s+1)(k+\frac{1}{100k})$.
Kolupaev, Dmitriy, Kupavskii, Andrey
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Perfect Match

Proceedings of the 50th ACM Technical Symposium on Computer Science Education, 2019
With the massive growth of online learning, there has been a decrease in students' face-to-face interactions, leading to rising feelings of isolation. This in turn contributes to several issues such as motivation loss, increased course attrition rates and poor learning experiences.
Tam Nguyen Thanh   +3 more
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A perfect match

Nature Materials, 2018
A metal–organic framework with tailored porosity provides a mixed matrix membrane with excellent performance for natural gas purification and butane isomer separation.
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Nearly Perfect Matchings in Uniform Hypergraphs

SIAM Journal on Discrete Mathematics, 2019
In this paper, we study degree conditions for the existence of large matchings in uniform hypergraphs. We prove that for integers $k,l,n$ with $k\ge 3$, $k/2 {n-l\choose k-l}-{(n-l)-(\lceil n/k \rceil-2)\choose 2}$, then $H$ has a matching covering all ...
Hongliang Lu, Xingxing Yu, Xiaofan Yuan
semanticscholar   +1 more source

On Perfect Matchings

SIAM Review, 1970
Introduction. A graph G = {N, E} is taken to be a finite set of nodes N together with a set of distinct edges E which are unordered pairs of distinct nodes. A matching M of the graph is a subset of the edges E with the property that no two edges of M are incident at a node. A matching M is perfect if every node is incident to an edge of M.
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