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Linear Time Recognition of P4-Indifferent Graphs

BRICS Report Series

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Title Linear Time Recognition of P4-Indifferent Graphs
 
Creator Rizzi, Romeo
 
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. 
 
Publisher Aarhus University
 
Contributor
 
Date 1999-12-08
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/20107
10.7146/brics.v6i38.20107
 
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
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/20107/17726
 
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