Computing the Characteristic Polynomial of Threshold Graphs
Journal of graph algorithms and applications, Tome 18 (2014) no. 5, pp. 709-719
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We present an algorithm for constructing the characteristic polynomial of a threshold graph's adjacency matrix. The algorithm is based on a diagonalization procedure that is easy to describe. It can be implemented using O(n) space and with running time O(n2).
@article{JGAA_2014_18_5_a2,
author = {David Jacobs and Vilmar Trevisan and Fernando Tura},
title = {Computing the {Characteristic} {Polynomial} of {Threshold} {Graphs}},
journal = {Journal of graph algorithms and applications},
pages = {709--719},
year = {2014},
volume = {18},
number = {5},
doi = {10.7155/jgaa.00342},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00342/}
}
TY - JOUR AU - David Jacobs AU - Vilmar Trevisan AU - Fernando Tura TI - Computing the Characteristic Polynomial of Threshold Graphs JO - Journal of graph algorithms and applications PY - 2014 SP - 709 EP - 719 VL - 18 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00342/ DO - 10.7155/jgaa.00342 LA - en ID - JGAA_2014_18_5_a2 ER -
%0 Journal Article %A David Jacobs %A Vilmar Trevisan %A Fernando Tura %T Computing the Characteristic Polynomial of Threshold Graphs %J Journal of graph algorithms and applications %D 2014 %P 709-719 %V 18 %N 5 %U http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00342/ %R 10.7155/jgaa.00342 %G en %F JGAA_2014_18_5_a2
David Jacobs; Vilmar Trevisan; Fernando Tura. Computing the Characteristic Polynomial of Threshold Graphs. Journal of graph algorithms and applications, Tome 18 (2014) no. 5, pp. 709-719. doi: 10.7155/jgaa.00342
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