Complexity and approximability of the happy set problem (vol 866, pg 123, 2021)

被引：0
|
作者：
Asahiro, Yuichi [1 ]
Eto, Hiroshi [2 ]
Hanaka, Tesshu [3 ]
Lin, Guohui [4 ]
Miyano, Eiji [2 ]
Terabaru, Ippei [2 ]
机构：
[1] Kyushu Sangyo Univ, Fukuoka, Japan
[2] Kyushu Inst Technol, Iizuka, Japan
[3] Kyushu Univ, Fukuoka, Japan
[4] Univ Alberta, Edmonton, AB, Canada
来源：
THEORETICAL COMPUTER SCIENCE | 2023年 / 975卷
关键词：
Happy set; Proper interval graph; Dynamic programming;
D O I：
10.1016/j.tcs.2023.114114
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
For a graph G = (V, E) and a subset S subset of V of vertices, a vertex is happy if all its neighbor vertices in G are contained in S. Given a connected undirected graph and an integer k, the Maximum Happy Set Problem (MaxHS) asks to find a set S of k vertices which maximizes the number of happy vertices in S (note that all happy vertices in V belong to S). We proposed an algorithm for MaxHS on proper interval graphs in Theor. Comput. Sci. 866 (2021) 123-144. However, due to a wrong observation made by the authors, it works only on proper interval graphs obeying the observation. In this corrigendum, we propose a new algorithm which runs in O(k vertical bar V vertical bar log k + vertical bar E vertical bar) time for proper interval graphs. (c) 2023 Elsevier B.V. All rights reserved.
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页数：7
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