Title
The Geodetic Hull Number is Hard for Chordal Graphs.
Abstract
Kante and Nourine [SIAM T. Discrete Math., 30 (2016), pp. 311-326] present a polynomial time algorithm for the computation of the hull number of chordal graphs. We point out a gap in the correctness proof of their algorithm for chordal graphs and show that computing the hull number of a chordal graph is NP-hard, which most likely rules out the existence of a polynomial time algorithm.
Year
DOI
Venue
2017
10.1137/17M1131726
SIAM JOURNAL ON DISCRETE MATHEMATICS
Keywords
DocType
Volume
geodesic convexity,shortest path,hull number,chordal graphs
Journal
32
Issue
ISSN
Citations 
1
0895-4801
2
PageRank 
References 
Authors
0.38
0
4
Name
Order
Citations
PageRank
Stéphane Bessy111719.68
Mitre Dourado29018.43
Lucia Draque Penso319620.46
Dieter Rautenbach4946138.87