Planar subgraphs without low-degree nodes


Autoria(s): Kranakis, Evangelos; Morales Ponce, Oscar; Suomela, Jukka
Contribuinte(s)

University of Helsinki, Helsinki Institute for Information Technology HIIT

Data(s)

2011

Resumo

We study the following problem: given a geometric graph G and an integer k, determine if G has a planar spanning subgraph (with the original embedding and straight-line edges) such that all nodes have degree at least k. If G is a unit disk graph, the problem is trivial to solve for k = 1. We show that even the slightest deviation from the trivial case (e.g., quasi unit disk graphs or k = 1) leads to NP-hard problems.

Formato

12

Identificador

http://hdl.handle.net/10138/28214

Idioma(s)

eng

Relação

Algorithms and Data Structures 12th International Symposium, WADS 2011. New York, NY, USA, August 15-17, 2011. Proceedings

Lecture Notes in Computer Science

Direitos

The original publication is available at www.springerlink.com.

Fonte

Kranakis , E , Morales Ponce , O & Suomela , J 2011 , ' Planar subgraphs without low-degree nodes ' in Algorithms and Data Structures : 12th International Symposium, WADS 2011. New York, NY, USA, August 15-17, 2011. Proceedings , pp. 583–594 Lecture Notes in Computer Science , vol. 6844 . , 10.1007/978-3-642-22300-6_49

Palavras-Chave #113 Computer and information sciences
Tipo

A4 Article in conference publication (refereed)

info:eu-repo/semantics/conferencePaper

info:eu-repo/semantics/acceptedVersion