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Page "Matching (graph theory)" ¶ 7
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perfect and matching
The same observation can be made for the perfect matching problem.
It was known before that the decision problem " Is there a perfect matching for a given bipartite graph?
The perfect matching counting problem was the first counting problem corresponding to an easy P problem shown to be # P-complete, in a 1979 paper by Leslie Valiant which also defined the classes # P and # P-complete for the first time.
The Christofides algorithm follows a similar outline but combines the minimum spanning tree with a solution of another problem, minimum-weight perfect matching.
This is the concept of ' exact ' or ' perfect ' matching to the translation memory.
Pulse-amplitude modulation LED drivers are able to synchronize pulses across multiple LED channels to enable perfect colour matching.
Recognizing the paramount importance of the sacred shield descended from the skies, King Numa had eleven matching shields made, so perfect that no one, even Numa, could distinguish the original any longer.
Because it was the perfect, perfect, perfect matching of personalities and gifts.
The minor can be formed by contracting the edges of a perfect matching, for instance the five short edges in the first picture.
* is cubic, has domination number 3, and has a perfect matching and a 2-factor.
If the weight of a perfect matching that matches to is defined to be the product of the weights of the edges in the matching, then
Closely related to the complete bipartite graphs are the crown graphs, formed from complete bipartite graphs by removing the edges of a perfect matching.
A perfect matching describes a way of simultaneously satisfying all job-seekers and filling all jobs ; the marriage theorem provides a characterization of the bipartite graphs which allow perfect matchings.
This simple matching network consisting of a single element will usually only achieve a perfect match at a single frequency.
In general, it is not theoretically possible to achieve perfect impedance matching at all frequencies with a network of discrete components.
Outerplanar graphs were first studied and named by, in connection with the problem of determining the planarity of graphs formed by using a perfect matching to connect two copies of a base graph ( for instance, many of the generalized Petersen graphs are formed in this way from two copies of a cycle graph ).
The TurĂ¡n graph T ( 2n, n ) can be formed by removing a perfect matching from a complete graph K < sub > 2n </ sub >.
Figure ( b ) above is an example of a perfect matching.
Every perfect matching is maximum and hence maximal.

perfect and .
He said now, `` I've got the perfect headquarters set up.
The formation remained perfect.
the calf was magnificent, the ankle perfect.
And it is expressed, at least to their taste, in a perfect form.
They supported it, not as a perfect instrument, but as the best obtainable.
`` we the People of the United States, in order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common Defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America ''.
Admirably written, it is a perfect introduction to Swedish history for readers of other countries.
By virtue of his self-reliance, his individualism and his freedom from external restraint, the private eye is a perfect embodiment of the middle class conception of liberty, which amounts to doing what you please and let the devil take the hindmost.
a perfect symbol.
By distinguishing superlunary ( celestial ) and sublunary ( terrestrial ) existence, and reinforcing this with the four-element physics of Empedocles, Aristotle came to speak of the stars as perfect bodies, which moved in only a perfect way, viz. in a perfect circle.
Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.
Their motion will be eternal and perfect.
But she was afraid the First Lady would not understand, because Rob Roy was a perfect angel with the First Family.
Every day, when the President took his nap, Rob Roy would stretch out on the window seat near him, like a perfect gentleman, and stare thoughtfully out the window, or he would take a little nap himself.
I assume that the number of readers of this anthology who regard themselves as morally perfect is small, and that most readers are willing to consider procedures by which they may gain more insight into themselves and better understanding of others.
The carved statues of the frieze against the low wall are for the most part headless, but their exquisitely graceful nude and draped torsos and the kneeling Atlantes are well preserved in their perfect proportion.
In the next few months of comparative silence, Pike waited patiently until conditions were perfect for a new attack, and then, displaying a remarkable grasp of the subtleties of political infighting, gained from his first bout with Woodruff, he used these changed conditions to excellent advantage.
Many of my friends at the time thought that I had received a well-deserved condemnation when Lincoln Steffens denounced me in a review of one of my books as a perfect example of the obsolete man who could understand and sympathize only with the dead past.
Many high school students go past my house every day, and they look like perfect ladies and gentlemen.
Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.
Yet you feel the orchestra is near at hand, and the individual instruments have the same firm presence associated with listening from a good seat in an acoustically perfect hall.
Probably no location for a pool is perfect on all counts.
It seemed, indeed, that their house was not so much a home, but rather a perfect stage set, and that they were actors who had been handed fat roles in a successful play, and had talent enough to fill the roles competently, with nice understatement.

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