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Outerplanar is an English word. Below you'll find 4 example sentences showing how it's used in practice.

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Outerplanar in a sentence

Outerplanar meaning

Having a planar embedding such that the vertices lie on a circle and the edges lie inside that circle.

Using Outerplanar

  • The main meaning on this page is: Having a planar embedding such that the vertices lie on a circle and the edges lie inside that circle.
  • In the example corpus, outerplanar often appears in combinations such as: outerplanar graphs.

Context around Outerplanar

  • Average sentence length in these examples: 24 words
  • Position in the sentence: 3 start, 1 middle, 0 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often before:

graphs 1×

Often after:

graphs 2× embedding 1× graph 1×

Sentence patterns with Outerplanar

These short patterns come directly from the example sentences and show how the word is often embedded:

a k outerplanar embedding 1× but not outerplanar 1× every outerplanar graph is 1× is k outerplanar if it 1× of the outerplanar and planar 1× outerplanar graphs outerplanar 1× outerplanar graphs outerplanar graphs are 1×

Sentence openings and endings

Common sentence openings:

a graph is 1× every outerplanar graph 1× in analogy to 1× outerplanar graphs outerplanar 1×

Common sentence endings:

at most four 1× but not outerplanar 1× k outerplanar embedding 1× of the embedding 1×

Words around Outerplanar

Just before it in the word index:

outermost 64 outercourse 2 outerbridge 10 outer 1.684 outeniqua 2 outen 8

Just after it in the word index:

outers 2 outerspace 3 outerwear 53 outfall 13 outfalls 5 outfest 3

Similar in corpus frequency:

aaas 7 aacc 7 aacs 7 aafes 7 aah 7 aankh 7

Corpus analysis for Outerplanar

  • In this selection, "outerplanar" usually appears near the start of the sentence. The average example has 24 words, and this corpus slice is mostly made up of statements.
  • Around the word, graphs, graphs, embedding and graph stand out and add context to how "outerplanar" is used.
  • Recognizable usage signals include a k outerplanar embedding and but not outerplanar. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "outerplanar" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with outerplanar

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

A graph is k-outerplanar if it has a k-outerplanar embedding. (12 words)

Every outerplanar graph is planar, but the converse is not true: K 4 is planar but not outerplanar. (18 words)

Outerplanar graphs Outerplanar graphs are graphs with an embedding in the plane such that all vertices belong to the unbounded face of the embedding. (24 words)

Longer example sentences

In analogy to the characterizations of the outerplanar and planar graphs as being the graphs with Colin de Verdière graph invariant at most two or three, the linklessly embeddable graphs are the graphs that have Colin de Verdière invariant at most four. (42 words)

Outerplanar graphs Outerplanar graphs are graphs with an embedding in the plane such that all vertices belong to the unbounded face of the embedding. (24 words)

Every outerplanar graph is planar, but the converse is not true: K 4 is planar but not outerplanar. (18 words)

Example sentences (4)

A graph is k-outerplanar if it has a k-outerplanar embedding.

Every outerplanar graph is planar, but the converse is not true: K 4 is planar but not outerplanar.

Outerplanar graphs Outerplanar graphs are graphs with an embedding in the plane such that all vertices belong to the unbounded face of the embedding.

In analogy to the characterizations of the outerplanar and planar graphs as being the graphs with Colin de Verdière graph invariant at most two or three, the linklessly embeddable graphs are the graphs that have Colin de Verdière invariant at most four.

Common combinations with outerplanar

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "outerplanar" in a sentence?
An example: "A graph is k-outerplanar if it has a k-outerplanar embedding." This page contains 4 example sentences with the word "outerplanar" from authentic English texts.
What does "outerplanar" mean?
Outerplanar means: Having a planar embedding such that the vertices lie on a circle and the edges lie inside that circle.
How many example sentences with "outerplanar" are there?
Voorbeeldzinnen.info contains 4 example sentences with "outerplanar", drawn from a database of millions of English sentences.