Linear Time Recognition of P4-Indifferent Graphs
BRICS Report Series
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Title |
Linear Time Recognition of P4-Indifferent Graphs
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Creator |
Rizzi, Romeo
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Description |
A simple graph is P4-indifferent if it admits a total order < onits nodes such that every chordless path with nodes a, b, c, d and edgesab, bc, cd has a < b < c < d or a > b > c > d. P4-indifferent graphs generalize indifferent graphs and are perfectly orderable. Recently, Hoang,Maray and Noy gave a characterization of P4-indifferent graphs interms of forbidden induced subgraphs. We clarify their proof and describe a linear time algorithm to recognize P4-indifferent graphs. Whenthe input is a P4-indifferent graph, then the algorithm computes an order < as above.Key words: P4-indifference, linear time, recognition, modular decomposition.
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Publisher |
Aarhus University
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Contributor |
—
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Date |
1999-12-08
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Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion — |
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Format |
application/pdf
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Identifier |
https://tidsskrift.dk/brics/article/view/20107
10.7146/brics.v6i38.20107 |
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Source |
BRICS Report Series; No 38 (1999): RS-38 Linear Time Recognition of P4-Indifferent Graphs
BRICS Report Series; No 38 (1999): RS-38 Linear Time Recognition of P4-Indifferent Graphs 1601-5355 0909-0878 |
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Language |
eng
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Relation |
https://tidsskrift.dk/brics/article/view/20107/17726
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Rights |
Copyright (c) 2015 BRICS Report Series
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