interval graph

collocation in English

meaningsofintervalandgraph

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withgraph.
interval
noun[C]
uk
/ˈɪn.tə.vəl/us
/ˈɪn.t̬ɚ.vəl/
a period between two events ...
See more atinterval
graph
noun[C]
uk
/ɡrɑːf/us
/ɡræf/
a picture that shows how two sets of information or variables (= amounts that can change) are related, usually by lines ...
See more atgraph

(Definition ofintervalandgraphfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofinterval graph

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
We could not extend our approach based on the interval representation of anintervalgraphto the subtrees in the tree representation of a chordal graph.
From theCambridge English Corpus
The intersection graph of a set of intervals on a line is called theintervalgraph.
From
Wikipedia
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The intersection number of anintervalgraphis always equal to its number of maximal cliques, which may be computed in polynomial time.
From
Wikipedia
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For example, when assigning aircraft to flights, the resulting conflict graph is anintervalgraph, so the coloring problem can be solved efficiently.
From
Wikipedia
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The split cographs are exactly the threshold graphs, and the split permutation graphs are exactly the interval graphs that haveintervalgraphcomplements.
From
Wikipedia
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Not every proper interval representation is a unit interval representation, but every properintervalgraphis a unitintervalgraph, and vice versa.
From
Wikipedia
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The complement of anyintervalgraphis a comparability graph.
From
Wikipedia
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Every properintervalgraphis a claw-free graph; conversely, the proper interval graphs are exactly the claw-free interval graphs.
From
Wikipedia
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It is thus natural to ask whether the independence number of random interval graphs behaves in a simpler manner than the longest increasing subsequence.
From theCambridge English Corpus
The interval representation approach was successfully applied to a non-chordal extension of interval graphs leading to the main theorem of our paper.
From theCambridge English Corpus
This paper characterizes the fluctuations of the independence number in random interval graphs.
From theCambridge English Corpus
However, for interval graphs, a constant competitive ratio is possible, while for bipartite graphs and sparse graphs a logarithmic ratio can be achieved.
From
Wikipedia
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Interval graphs are integral to some algorithms used in compilers, specifically data flow analyses.
From
Wikipedia
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Threshold graphs are also a special case of interval graphs.
From
Wikipedia
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The split comparability graphs, and therefore also the split interval graphs, can be characterized in terms of a set of three forbidden induced subgraphs.
From
Wikipedia
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However, there exist claw-free graphs that are not interval graphs.
From
Wikipedia
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Interval graphs and chordal graphs also have at most "n" maximal cliques, even though they are not always sparse graphs.
From
Wikipedia
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These families include chordal graphs, complete graphs, triangle-free graphs, interval graphs, graphs of bounded boxicity, and planar graphs.
From
Wikipedia
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From this construction one can verify a common property held by all interval graphs.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
Want to learn more?
Go to the definition ofinterval
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See other collocations withgraph