On the recognition of unit disk graphs and the Distance Geometry Problem with Ranges

Author:

da Fonseca Guilherme Dias,Pereira de Sá Vinícius Gusmão,Machado Raphael Carlos Santos,de Figueiredo Celina Miraglia Herrera

Funder

CNPq

FAPERJ

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference11 articles.

1. A. Andrioni, R. de Freitas, C. Lavor, L. Liberti, N. Maculan, A. Mucherino, Workshop on Distance Geometry and Applications, DGA 2013. http://dga2013.icomp.ufam.edu.br/.

2. Unit disk graphs recognition is NP-hard;Breu;Comput. Geom.,1998

3. Linear-time approximation for dominating sets and independent dominating sets in unit disk graphs;da Fonseca,2013

4. Efficient sub-5 approximations for dominating sets in unit disk graphs;da Fonseca;Theoret. Comput. Sci.,2014

5. Solving systems of polynomial inequalities in subexponential time;Grigor’ev;J. Symbolic. Comput.,1988

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1. On Embeddability of Unit Disk Graphs Onto Straight Lines;Theory of Computing Systems;2022-12-17

2. Unit Disk Visibility Graphs;Trends in Mathematics;2021

3. On the embedding of cone graphs in the line with distinct distances between neighbors;Discrete Applied Mathematics;2019-03

4. On Forbidden Induced Subgraphs for Unit Disk Graphs;Discrete & Computational Geometry;2018-03-23

5. Preface;Discrete Applied Mathematics;2015-12

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