- On Forbidden Induced Subgraphs for Unit Disk Graphs
2018/03/23 by Aistis Atminas, Viktor Zamaraev · 1 citation
Computer Science · Engineering · Mathematics · #1-planar graph #Advanced Graph Theory Research #Bipartite graph #Chordal graph #Cograph #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Discrete mathematics #Graph #Indifference graph #Line graph #Mathematics #Pathwidth #Unit (ring theory) #Unit disk #Unit disk graph #graph theory and CDMA systems
- The number of disk graphs
2013/07/05 by Colin McDiarmid, Tobias Müller · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Discrete mathematics #Graph #Limits and Structures in Graph Theory #Mathematics #Unit disk #Unit disk graph
- Metric Dimension for Gabriel Unit Disk Graphs Is NP-Complete
2013/01/01 by Stefan Hoffmann, Egon Wanke · 2 citations
Computer Science · Mathematics · #1-planar graph #Chordal graph #Combinatorics #Computer network #Computer science #Dimension (graph theory) #Discrete mathematics #Graph #Graph Labeling and Dimension Problems #Interconnection Networks and Systems #Mathematics #Metric (unit) #Metric dimension #Mobile Ad Hoc Networks #Telecommunications #Theoretical computer science #Unit disk #Unit disk graph #Wireless #Wireless ad hoc network #Wireless network #Wireless sensor network
- Integer realizations of disk and segment graphs
2012/09/29 by Colin McDiarmid, Tobias Müller · 2 citations
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Block graph #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Digital Image Processing Techniques #Discrete mathematics #Graph #Line graph #Mathematics #Unit disk graph
- Polynomial-Time Approximation Schemes for Geometric Intersection Graphs
2005/01/01 by Thomas Erlebach, Klaus Jansen, Eike Seidel · 2 citations
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Unit disk graph #Combinatorics #Intersection graph #Mathematics #Chordal graph #Indifference graph #Disjoint sets #Maximal independent set #Planar graph #Pathwidth #Time complexity #Independent set #Discrete mathematics #Approximation algorithm #1-planar graph #Graph #Computer science #Line graph
- Approximation Algorithms for Maximum Independent Set Problems and Fractional Coloring Problems on Unit Disk Graphs
2000/01/01 by Tomomi Matsui · 1 citation
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Algorithm #Chordal graph #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Computer science #Graph #Graph coloring #Independent set #Mathematics #Maximal independent set #Set (abstract data type) #Telecommunications #Theoretical computer science #Unit (ring theory) #Unit disk graph
- On Coloring Unit Disk Graphs
1998/03/01 by Albert Gräf, A. Gräf, M. Stumpf +2 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Algorithm #Chordal graph #Combinatorics #Complete coloring #Complexity and Algorithms in Graphs #Computer science #Discrete mathematics #Edge coloring #Graph #Graph coloring #Greedy coloring #Indifference graph #Intersection (aeronautics) #Line graph #Matching (statistics) #Mathematics #Theory of computation #Unit disk #Unit disk graph #graph theory and CDMA systems
- Unit disk graph recognition is NP-hard
1998/01/01 by Heinz Breu, David Kirkpatrick, David G. Kirkpatrick · 6 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Computer science #Conjecture #Discrete mathematics #Geometry #Graph #Intersection graph #Line graph #Mathematics #Planar graph #Sphericity #Unit disk graph
- Unit disk graphs
1990/12/01 by Brent N. Clark, Charles J. Colbourn, David S. Johnson +1 · 11 citations
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Chordal graph #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Discrete mathematics #Dominating set #Graph #Grid #Indifference graph #Intersection (aeronautics) #Intersection graph #Line graph #Mathematics #Maximal independent set #Mobile Ad Hoc Networks #Pathwidth #Split graph #Unit disk #Unit disk graph #Vertex (graph theory)