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单词 outerplanar
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Examples ofouterplanar

Dictionary> Examples ofouterplanar
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We show that every planar graph is (3, 2) -choosable and everyouterplanargraph is (2, 2) -choosable.
From theCambridge English Corpus
There are no such o simple formulas known for generalouterplanargraphs.
From theCambridge English Corpus
We will then show how to modify the algorithm to generate unlabelled connectedouterplanargraphs uniformly at random in expected polynomial time.
From theCambridge English Corpus
In particular, they showed that everyouterplanargraph is (2, 2) -colourable and every planar graph is (3, 2) -colourable.
From theCambridge English Corpus
For instance,outerplanargraphs enjoy many nice properties both from an algorithmic and a structural point of view.
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This allows us to make the correct probabilistic choices in a recursive generation of uniformly distributedouterplanargraphs.
From theCambridge English Corpus
In this paper we show how to efficiently generate random labelledouterplanargraphs.
From theCambridge English Corpus
In the following sections, when dealing withouterplanargraphs, we will therefore concentrate on the presentation of the decomposition strategy and the counting formulas.
From theCambridge English Corpus
We have found a short direct proof for the (2, 1) -choosability of triangle-freeouterplanargraphs.
From theCambridge English Corpus
In this paper, we will focus on the generation of randomouterplanargraphs according to their uniform distribution.
From theCambridge English Corpus
Throughout this section we assume that theouterplanargraphs are unlabelled and connected.
From theCambridge English Corpus
The reason why the decomposition into biconnected components of a graph is so useful is that biconnectedouterplanargraphs have a simple structure.
From theCambridge English Corpus
We present a uniform generation procedure forouterplanargraphs using rejection sampling.
From theCambridge English Corpus
And all triangle-freeouterplanargraphs are (m, d) choosable if and only if (m, d) > (2, 1) or (m, d) > (3, 0).
From theCambridge English Corpus
One may ask whether every planar graph is (3, 1) -choosable and everyouterplanargraph is (2, 1) choosable.
From theCambridge English Corpus

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