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Unit disk graph

In geometric graph theory, a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. That is, it is a graph with one vertex for each disk in the family, and with an edge between two vertices whenever the corresponding vertices lie within a unit distance of each other.

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Overview

Properties

Applications

Computational complexity

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Map overview Semantic statistics

Unit disk graph

Nodes31
Edges30
Triples154
Avg. degree1.94
Density0.064516
Components1

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Unit disk graph

Top relations

related to References · 119
Unit disk graph → Aistis, Algorithmica, Algorithms, Applications, Approximation Algorithms, Arunabha, Atminas, Bibcode, Bonnet, Brent, Breu, Broadcast, C62257876, Charles, Christensen, Clark, CO/9409226, Colbourn, Colin, Combinatorial Theory
has application · 9
Unit disk graph → Beginning, Euclidean, Huson, If, In, It, Node, Random, Sen
related to Computational complexity · 6
Unit disk graph → Additionally, However, If, It, NP-hard, The
related to Properties · 6
Unit disk graph → An, Every, Infinitely, The, Therefore, This
related to Definitions · 4
Unit disk graph → Euclidean, There, These, Unit
see also · 3
Unit disk graph → Barrier, Coin, Rips
is a · 2
Unit disk graph → intersection graph of a family of unit disks in the Euclidean plane, star K 1

Important terminology Word statistics

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Important terminology

disk unit graphs graph doi 10 mr s2cid disks one arxiv geometry theory formed computational circles given time 1016 geometric

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Unit disk graphis aintersection graph of a family of unit disks in the Euclidean plane0.90text
Unit disk graphis astar K 10.90text
maximum independent setinstance ofmany important and difficult graph optimization problems0.80text
graph coloringinstance ofmany important and difficult graph optimization problems0.80text
and minimum dominating set can be approximated efficiently by using the geometric structure of these graphsinstance ofmany important and difficult graph optimization problems0.80text
and the maximum clique problem can be solved exactly for these graphs in polynomial timeinstance ofmany important and difficult graph optimization problems0.80text
given a disk representationinstance ofmany important and difficult graph optimization problems0.80text
Unit disk graphhas applicationBeginning0.60section
Unit disk graphhas applicationHuson0.60section
Unit disk graphhas applicationSen0.60section
Unit disk graphhas applicationIn0.60section
Unit disk graphhas applicationIt0.60section

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    Min side: 3
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