Random word

Wondering how to use Nonplanar in a sentence? Below are 6 example sentences from authentic English texts. Including the meaning .

Rare word

Nonplanar in a sentence

Nonplanar meaning

Not planar.

Using Nonplanar

  • The main meaning on this page is: Not planar.
  • In the example corpus, nonplanar often appears in combinations such as: is nonplanar.

Context around Nonplanar

  • Average sentence length in these examples: 29.3 words
  • Position in the sentence: 1 start, 2 middle, 3 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often after:

graph 1× citation 1× toroidal 1× inputs 1×

Sentence patterns with Nonplanar

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

3 is nonplanar citation 1× can be nonplanar 1× graph is nonplanar it must 1× turn a nonplanar graph into 1× verified for nonplanar inputs as 1× zero and nonplanar toroidal graphs 1×

Sentence openings and endings

Common sentence openings:

additionally subdividing a 1× kazimierz kuratowski stated 1× more generally the 1× the more difficult 1× this allows the 1×

Common sentence endings:

a kuratowski subgraph 1× can be nonplanar 1× have genus one 1× is nonplanar citation 1× kuratowski subgraph citation 1× of g itself 1×

Words around Nonplanar

Just before it in the word index:

nonphysical 6 nonpharmaceutical 2 nonperturbative 3 nonpersistent 5 nonpermanent 3 nonperishable 30

Just after it in the word index:

nonplayer 2 nonplayoff 2 nonplussed 17 nonpoint 6 nonpolar 14 nonpolitical 14

Similar in corpus frequency:

aaaaa 8 aage 8 aardvarks 8 abaca 8 abaji 8 abascal 8

Corpus analysis for Nonplanar

  • In this selection, "nonplanar" usually appears near the end of the sentence. The average example has 29.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, graph, citation and toroidal stand out and add context to how "nonplanar" is used.
  • Recognizable usage signals include 3 is nonplanar citation and can be nonplanar. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "nonplanar" sits close to words such as aaaaa, aage and aardvarks, which helps place it inside the broader word index.

Example types with nonplanar

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

Kazimierz Kuratowski stated in 1930 that K 3,3 is nonplanar, citation. (12 words)

The more difficult direction in proving Kuratowski's theorem is to show that, if a graph is nonplanar, it must contain a Kuratowski subgraph. (24 words)

When at most three regions meet at a point, the result is a planar graph, but when four or more regions meet at a point, the result can be nonplanar. (30 words)

Longer example sentences

Additionally, subdividing a graph cannot turn a nonplanar graph into a planar graph: if a subdivision of a graph G has a planar drawing, the paths of the subdivision form curves that may be used to represent the edges of G itself. (42 words)

More generally, the genus of a graph is the minimum genus of a two-dimensional surface into which the graph may be embedded; planar graphs have genus zero and nonplanar toroidal graphs have genus one. (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)

Example sentences (6)

Additionally, subdividing a graph cannot turn a nonplanar graph into a planar graph: if a subdivision of a graph G has a planar drawing, the paths of the subdivision form curves that may be used to represent the edges of G itself.

Kazimierz Kuratowski stated in 1930 that K 3,3 is nonplanar, citation.

More generally, the genus of a graph is the minimum genus of a two-dimensional surface into which the graph may be embedded; planar graphs have genus zero and nonplanar toroidal graphs have genus one.

The more difficult direction in proving Kuratowski's theorem is to show that, if a graph is nonplanar, it must contain a Kuratowski subgraph.

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.

When at most three regions meet at a point, the result is a planar graph, but when four or more regions meet at a point, the result can be nonplanar.

Common combinations with nonplanar

These word pairs occur most frequently in English texts:

  • is nonplanar 2×

Frequently asked questions

How do you use "nonplanar" in a sentence?
An example: "Additionally, subdividing a graph cannot turn a nonplanar graph into a planar graph: if a subdivision of a graph G has a planar drawing, the paths of the subdivision form curves that may be used to represent the edges of G itself." This page contains 6 example sentences with the word "nonplanar" from authentic English texts.
What does "nonplanar" mean?
Nonplanar means: Not planar.
How many example sentences with "nonplanar" are there?
Voorbeeldzinnen.info contains 6 example sentences with "nonplanar", drawn from a database of millions of English sentences.