Simple iterative trial search for the maximum independent set problem optimized for the GPUs

2021 ◽  
Author(s):  
Tomohiro Imanaga ◽  
Koji Nakano ◽  
Ryota Yasudo ◽  
Yasuaki Ito ◽  
Yuya Kawamata ◽  
...  
Keyword(s):  
Independent Set ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Maximum Independent Set Problem

Parallel Solution for Maximum Independent Set Problem by Programmable Tile Assembly

2016 ◽  
Vol 25 (2) ◽  
pp. 203-208 ◽  
Author(s):  
Yufang Huang ◽  
Jianhua Xiao ◽  
Keqin Jiang ◽  
Zhihua Chen
Keyword(s):  
Independent Set ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Parallel Solution ◽  
Tile Assembly ◽  
Maximum Independent Set Problem

The Maximum Independent Set Problem in Subclasses ofSi,j,k-Free Graphs

2015 ◽  
Vol 49 ◽  
pp. 43-49 ◽  
Author(s):  
Ngoc C. Lê ◽  
Christoph Brause ◽  
Ingo Schiermeyer
Keyword(s):  
Independent Set ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Maximum Independent Set Problem

Fuzzy Maximum Independent Set Problem

2014 ◽  
Vol 687-691 ◽  
pp. 1161-1165
Author(s):  
Dong Ling Luo ◽  
Chen Yin Wang ◽  
Yang Yi ◽  
Dong Ling Zhang ◽  
Xiao Cong Zhou
Keyword(s):  
Dominating Set ◽  
Fuzzy Variable ◽  
Independent Set ◽  
Credibility Theory ◽  
Covering Problem ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Intelligence Algorithm ◽  
Hybrid Intelligence ◽  
Maximum Independent Set Problem

Edge covering problem, dominating set problem, and independent set problem are classic problems in graph theory except for vertex covering problem. In this paper, we study the maximum independent set problem under fuzzy uncertainty environments, which aims to search for the independent set with maximum value in a graph. First, credibility theory is introduced to describe the fuzzy variable. Three decision models are performed based on the credibility theory. A hybrid intelligence algorithm which integrates genetic algorithm and fuzzy simulation is proposed due to the unavailability of traditional algorithm. Finally, numerical experiments are performed to prove the efficiency of the fuzzy decision modes and the hybrid intelligence algorithm.

An approximation algorithm for the maximum independent set problem in cubic planar graphs

Networks ◽  
1986 ◽  
Vol 16 (4) ◽  
pp. 349-356 ◽  
Author(s):  
Elarbi Choukhmane ◽  
John Franco
Keyword(s):  
Approximation Algorithm ◽  
Planar Graphs ◽  
Independent Set ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Maximum Independent Set Problem

An Approximation Algorithm for the Maximum Independent Set Problem on Planar Graphs

1982 ◽  
Vol 11 (4) ◽  
pp. 663-675 ◽  
Author(s):  
Norishige Chiba ◽  
Takao Nishizeki ◽  
Nobuji Saito
Keyword(s):  
Approximation Algorithm ◽  
Planar Graphs ◽  
Independent Set ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Maximum Independent Set Problem

The maximum independent set problem for cubic planar graphs

Networks ◽  
1989 ◽  
Vol 19 (3) ◽  
pp. 373-378 ◽  
Author(s):  
James E. Burns
Keyword(s):  
Planar Graphs ◽  
Independent Set ◽  
Maximum Independent Set ◽  
Independent Set Problem ◽  
Maximum Independent Set Problem
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