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- W2113407832 abstract "In this paper, we determine the minimal separators of P 4 -sparse graphs and establish bounds on their number. Specifically, we show that a P 4 -sparse graph G on n vertices and m edges has fewer than 2 n / 3 minimal separators of total description size at most 4 m / 3 . The bound on the number of minimal separators is tight and is also tight for the class of cographs, a well known subclass of the P 4 -sparse graphs. Our results enable us to present a linear-time and linear-space algorithm for computing the number of minimal separators of a given P 4 -sparse graph; the algorithm can be modified to report the minimal separators of the input graph in linear time and space as well." @default.
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- W2113407832 date "2006-02-01" @default.
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- W2113407832 title "Minimal separators in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si8.gif overflow=scroll><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math>-sparse graphs" @default.
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- W2113407832 doi "https://doi.org/10.1016/j.disc.2005.12.008" @default.
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