scholarly journals A polynomial-time algorithm for the paired-domination problem on permutation graphs

2009 ◽  
Vol 157 (2) ◽  
pp. 262-271 ◽  
Author(s):  
T.C.E. Cheng ◽  
Liying Kang ◽  
Erfang Shan
Keyword(s):  
Polynomial Time ◽  
Polynomial Time Algorithm ◽  
Time Algorithm ◽  
Permutation Graphs ◽  
Domination Problem ◽  
Paired Domination

scholarly journals AnO(n)-time algorithm for the paired domination problem on permutation graphs

2013 ◽  
Vol 34 (3) ◽  
pp. 593-608 ◽  
Author(s):  
Evaggelos Lappas ◽  
Stavros D. Nikolopoulos ◽  
Leonidas Palios
Keyword(s):  
Time Algorithm ◽  
Permutation Graphs ◽  
Domination Problem ◽  
Paired Domination

Learning Importance of Preferences

10.29007/v68w ◽  
2018 ◽  
Author(s):  
Ying Zhu ◽  
Mirek Truszczynski
Keyword(s):  
Polynomial Time ◽  
Polynomial Time Algorithm ◽  
Time Algorithm ◽  
Scoring Rules ◽  
Np Hard ◽  
Individual Preferences

We study the problem of learning the importance of preferences in preference profiles in two important cases: when individual preferences are aggregated by the ranked Pareto rule, and when they are aggregated by positional scoring rules. For the ranked Pareto rule, we provide a polynomial-time algorithm that finds a ranking of preferences such that the ranked profile correctly decides all the examples, whenever such a ranking exists. We also show that the problem to learn a ranking maximizing the number of correctly decided examples (also under the ranked Pareto rule) is NP-hard. We obtain similar results for the case of weighted profiles when positional scoring rules are used for aggregation.

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