Results 151 to 160 of about 2,022 (201)
Detection and analysis of prompt injection in indian multilingual large language models. [PDF]
Srinivasan J +5 more
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Fully Complementary Higher Dimensional Partitions. [PDF]
Schreier-Aigner F.
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Assessing interface accuracy in macromolecular complexes. [PDF]
Ludwiczak O, Antczak M, Szachniuk M.
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Perfect Matchings of Polyomino Graphs [PDF]
A characterization of polyominoes having a perfect matching resp. being elementary is given. This allows to give a special decomposition of non-elementary polyominoes with perfect matchings into elementary subpolyominoes such that the number of perfect matchings of the original graph is the product of those of the latter graphs.
Zhang, HP, Zhang, FJ
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Covering a cubic graph with perfect matchings
Let G be a bridgeless cubic graph. A well-known conjecture of Berge and Fulkerson can be stated as follows: there exist five perfect matchings of G such that each edge of G is contained in at least one of them.
Giuseppe Mazzuoccolo
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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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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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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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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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Erdős matching conjecture for almost perfect matchings
Discrete Mathematics, 2023In 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 $(s+1)k\le n<(s+1)(k+\frac{1}{100k})$.
Dmitriy Kolupaev, Andrey Kupavskii
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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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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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Graphs and Combinatorics, 2012
In this paper, we generalize the notions of perfect matchings, perfect 2-matchings to perfect k-matchings and give a necessary and sufficient condition for the existence of perfect k-matchings. We show that a bipartite graph G contains a perfect k-matching if and only if it contains a perfect matching.
Hongliang Lu, Wei Wang
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In this paper, we generalize the notions of perfect matchings, perfect 2-matchings to perfect k-matchings and give a necessary and sufficient condition for the existence of perfect k-matchings. We show that a bipartite graph G contains a perfect k-matching if and only if it contains a perfect matching.
Hongliang Lu, Wei Wang
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