English

Complexity of Domination in Triangulated Plane Graphs

Computational Complexity 2017-09-05 v1 Combinatorics
Authors: Dömötör Pálvölgyi
View on arXiv ↗ PDF ↗

Abstract

We prove that for a triangulated plane graph it is NP-complete to determine its domination number and its power domination number.

Keywords

planar graph drawing graph theory

Cite

@article{arxiv.1709.00596,
  title  = {Complexity of Domination in Triangulated Plane Graphs},
  author = {Dömötör Pálvölgyi},
  journal= {arXiv preprint arXiv:1709.00596},
  year   = {2017}
}

Related papers

View all related →
Combinatorics · Mathematics
Total domination in plane triangulations
M. Claverol, A. García, G. Hernández, C. Hernando +3
2024-05-09
Combinatorics · Mathematics
Connected Domination in Plane Triangulations
Felicity Bryant, Elena Pavelescu
2024-03-04
Combinatorics · Mathematics
Complexity of the Game Domination Problem
Boštjan Brešar, Paul Dorbec, Sandi Klavžar, Gašper Košmrlj +1
2016-06-20
Combinatorics · Mathematics
The domination number of plane triangulations
Simon Spacapan
2018-06-20
Discrete Mathematics · Computer Science
On independence domination
Wing-Kai Hon, Ton Kloks, Hsiang Hsuan Liu, Sheung-Hung Poon +1
2013-04-25
Combinatorics · Mathematics
Perfect graphs for domination games
Csilla Bujtás, Vesna Iršič, Sandi Klavžar
2019-08-27
Combinatorics · Mathematics
Computational complexity aspects of super domination
Csilla Bujtás, Nima Ghanbari, Sandi Klavžar
2023-02-20
Combinatorics · Mathematics
Connected power domination in graphs
Boris Brimkov, Derek Mikesell, Logan Smith
2017-12-08
Computational Complexity · Computer Science
Complexity of fall coloring for restricted graph classes
Juho Lauri, Christodoulos Mitillos
2019-05-14
Combinatorics · Mathematics
A remark on the characterization of triangulated graphs
R. Gargouri, H. Najar
2018-11-21
Combinatorics · Mathematics
Domination structure in 3-connected graphs
Misa Nakanishi
2019-10-02
Discrete Mathematics · Computer Science
Eternal dominating sets on digraphs and orientations of graphs
Guillaume Bagan, Alice Joffard, Hamamache Kheddouci
2018-05-25
Combinatorics · Mathematics
Note on Nordhaus-Gaddum problems for power domination
Katherine F. Benson, Daniela Ferrero, Mary Flagg, Veronika Furst +2
2016-10-12
Combinatorics · Mathematics
The p-Domination Number of Complete Multipartite Graphs
You Lu, Jun-Ming Xu
2012-05-02
Data Structures and Algorithms · Computer Science
Capacitated Dominating Set on Planar Graphs
Amariah Becker
2016-04-19
Discrete Mathematics · Computer Science
Signed and Minus Domination in Complete Multipartite Graphs
Hongyu Liang
2012-05-03
Discrete Mathematics · Computer Science
Power domination on triangular grids
Prosenjit Bose, Claire Pennarun, Sander Verdonschot
2017-07-11
Combinatorics · Mathematics
Domination and fractional domination in digraphs
Ararat Harutyunyan, Tien-Nam Le, Alantha Newman, Stéphan Thomassé
2018-04-30
Combinatorics · Mathematics
Paired and semipaired domination in triangulations
M. Claverol, C. Hernando, M. Maureso, M. Mora +1
2022-07-25
Combinatorics · Mathematics
Power domination polynomials of graphs
Boris Brimkov, Rutvik Patel, Varun Suriyanarayana, Alexander Teich
2018-05-29
Combinatorics · Mathematics
Domination structure for number three
Misa Nakanishi
2018-03-20
Combinatorics · Mathematics
Partial domination - the isolation number of a graph
Yair Caro, Adriana Hansberg
2015-05-01
Combinatorics · Mathematics
$h$-perfect plane triangulations
Yohann Benchetrit, Henning Bruhn
2015-11-26
Combinatorics · Mathematics
Upper bounds for domination related parameters in graphs on surfaces
Vladimir Samodivkin
2013-10-08
Combinatorics · Mathematics
Recognizing well-dominated graphs is coNP-complete
Akanksha Agrawal, Henning Fernau, Philipp Kindermann, Kevin Mann +1
2022-08-19
R2 v1 2026-06-22T21:31:24.457Z