A linear kernel for planar red-blue dominating set

Valentin Garnero 1 Ignasi Sau 1 Dimitrios M. Thilikos 1, 2
1 ALGCO - Algorithmes, Graphes et Combinatoire
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : In the Red-Blue Dominating Set problem, we are given a bipartite graph $G = (V_B \cup V_R,E)$ and an integer $k$, and asked whether $G$ has a subset $D \subseteq V_B$ of at most $k$'blue' vertices such that each 'red' vertex from $V_R$ is adjacent to a vertex in $D$. We provide the first explicit linear kernel for this problem on planar graphs.
Complete list of metadatas

Cited literature [9 references]  Display  Hide  Download

https://hal-lirmm.ccsd.cnrs.fr/lirmm-00846771
Contributor : Dimitrios M. Thilikos <>
Submitted on : Friday, July 19, 2013 - 7:53:14 PM
Last modification on : Friday, October 5, 2018 - 9:14:01 PM
Long-term archiving on : Monday, October 21, 2013 - 11:16:14 AM

File

RB_Dom_Set-CTW.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : lirmm-00846771, version 1
  • ARXIV : 1408.6388

Collections

Citation

Valentin Garnero, Ignasi Sau, Dimitrios M. Thilikos. A linear kernel for planar red-blue dominating set. CTW: Cologne-Twente Workshop on Graphs and Combinatorial Optimization, May 2013, Enschede, Netherlands. pp.117-120. ⟨lirmm-00846771⟩

Share

Metrics

Record views

265

Files downloads

520