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

Rare word

Planarity in a sentence

Planarity meaning

The condition of being planar

Using Planarity

  • The main meaning on this page is: The condition of being planar
  • In the example corpus, planarity often appears in combinations such as: planarity testing.

Context around Planarity

  • Average sentence length in these examples: 30.5 words
  • Position in the sentence: 2 start, 1 middle, 1 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often before:

see 1×

Often after:

testing 2× criteria 1×

Sentence patterns with Planarity

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

conditions for planarity that are 1× not see planarity testing 1× of a planarity testing algorithm 1× other planarity criteria in 1×

Sentence openings and endings

Common sentence openings:

however there exist 1× note that these 1× other planarity criteria 1× this allows the 1×

Common sentence endings:

graph is planar 1× it is planar 1× kuratowski subgraph citation 1× see planarity testing 1×

Words around Planarity

Just before it in the word index:

planar 143 planalto 7 planada 3 plana 4 plan 23.226 plamondon 7

Just after it in the word index:

planarization 2 plancenoit 14 plancha 7 planchas 2 plancherel 5 planchette 5

Similar in corpus frequency:

aaaaand 6 aaah 6 aaargh 6 aacl 6 aadhi 6 aak 6

Corpus analysis for Planarity

  • In this selection, "planarity" usually appears near the start of the sentence. The average example has 30.5 words, and this corpus slice is mostly made up of statements.
  • Around the word, see, testing and criteria stand out and add context to how "planarity" is used.
  • Recognizable usage signals include conditions for planarity that are and not see planarity testing. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "planarity" sits close to words such as aaaaand, aaah and aaargh, which helps place it inside the broader word index.

Example types with planarity

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

Other planarity criteria In practice, it is difficult to use Kuratowski's criterion to quickly decide whether a given graph is planar. (22 words)

Note that these theorems provide necessary conditions for planarity that are not sufficient conditions, and therefore can only be used to prove a graph is not planar, not that it is planar. (32 words)

This allows the correctness of a planarity testing algorithm to be verified for nonplanar inputs, as it is straightforward to test whether a given subgraph is or is not a Kuratowski subgraph. citation. (33 words)

Longer example sentences

However, there exist fast algorithms for this problem: for a graph with n vertices, it is possible to determine in time (n) (linear time) whether the graph may be planar or not (see planarity testing ). (35 words)

This allows the correctness of a planarity testing algorithm to be verified for nonplanar inputs, as it is straightforward to test whether a given subgraph is or is not a Kuratowski subgraph. citation. (33 words)

Note that these theorems provide necessary conditions for planarity that are not sufficient conditions, and therefore can only be used to prove a graph is not planar, not that it is planar. (32 words)

Example sentences (4)

However, there exist fast algorithms for this problem: for a graph with n vertices, it is possible to determine in time (n) (linear time) whether the graph may be planar or not (see planarity testing ).

Note that these theorems provide necessary conditions for planarity that are not sufficient conditions, and therefore can only be used to prove a graph is not planar, not that it is planar.

Other planarity criteria In practice, it is difficult to use Kuratowski's criterion to quickly decide whether a given graph is planar.

This allows the correctness of a planarity testing algorithm to be verified for nonplanar inputs, as it is straightforward to test whether a given subgraph is or is not a Kuratowski subgraph. citation.

Common combinations with planarity

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "planarity" in a sentence?
An example: "However, there exist fast algorithms for this problem: for a graph with n vertices, it is possible to determine in time (n) (linear time) whether the graph may be planar or not (see planarity testing )." This page contains 4 example sentences with the word "planarity" from authentic English texts.
What does "planarity" mean?
Planarity means: The condition of being planar
How many example sentences with "planarity" are there?
Voorbeeldzinnen.info contains 4 example sentences with "planarity", drawn from a database of millions of English sentences.