Abstract
Unit disk graphs are the intersection graphs of equal sized circles in the plane: they provide a graph-theoretic model for broadcast networks (cellular networks) and for some problems in computational geometry. We show that many standard graph theoretic problems remain NP-complete on unit disk graphs, including coloring, independent set, domination, independent domination, and connected domination; NP-completeness for the domination problem is shown to hold even for grid graphs, a subclass of unit disk graphs. In contrast, we give a polynomial time algorithm for finding cliques when the geometric representation (circles in the plane) is provided.
Original language | English (US) |
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Pages (from-to) | 165-177 |
Number of pages | 13 |
Journal | Annals of Discrete Mathematics |
Volume | 48 |
Issue number | C |
DOIs | |
State | Published - Jan 1 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics