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Perfect Matchings of Polyomino Graphs

Graphs and Combinatorics, 1997
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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A perfect 'match'

Communications of the ACM, 2011
SUPPLIERS TO the UK's offshore oil and gas sector have spent decades developing and testing solutions to deep water challenges. But despite the best efforts of some, the UK oil and gas supply chain has had minimal involvement in nearshore wind farms installations to date.
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On Graphs with a Unique Perfect Matching

Graphs and Combinatorics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiumei Wang   +2 more
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Matchings and Perfect Matchings

2009
As a young branch of mathematics, Graph Theory has experienced the explosion growth as the same phenomenon that has been taking place in computing science and communication networking. In the mean time, there are many new terminologies and knowledge accumulated in the process. So there are often more than one names or notions defined for a same entity.
Qinglin Roger Yu, Guizhen Liu
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On an obstruction for perfect matchings

Combinatorica, 1984
\textit{K. Steffens} [Can. J. Math. 29, 165-168 (1976; Zbl 0324.05122)] proved a necessary and sufficient condition for the existence of perfect matchings in countable graphs. He presented a substructure (called ''compressed set'') which obstructs perfect matchings in any graph, and proved that in the countable case this is the only possible ...
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The perfect match.

EMS magazine, 2008
Their love felt so right, but what if their DNA was all wrong?
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Waiting for the Perfect Match

The Annals of Thoracic Surgery, 2023
David M, Overman, Robroy, MacIver
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Groups and Automata: A Perfect Match

2012
We present a personal perspective, inspired by our own research experience, of the interaction between group theory and automata theory: from Benois' Theorem to Stallings' automata, from hyperbolic to automatic groups, not forgetting the exotic automaton groups.
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A perfect match

Nursery World
Ideas for introducing the maths concept of ‘correspondence’ outdoors. By Julie Mountain and Felicity Robinson
Julie Mountain, Felicity Robinson
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A perfect match?

Nature, 2004
The 'S-complex' asteroids are not easily identified as the source of the most common meteorites reaching Earth. Their relationship might be disguised, however, by the effects of space weathering.
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