Recovering Graphs from Their Witness Unit Square Representation

Publication date

2025-11-26

Authors

Löffler, MaartenISNI 000000039666142X
Staals, F.ISNI 0000000393123300
Terziadis, Soeren

Editors

Dujmovic, Vida
Montecchiani, Fabrizio

Advisors

Supervisors

Document Type

Part of book
Open Access logo

License

cc_by

Abstract

A wUSR of a graph G is a set of unit squares in the plane, one per vertex, if two vertices have an edge in G if their squares overlap and the overlap contains no witness. We present an output sensitive algorithm to compute a graph G based on its given witness unit square representation.

Keywords

geometric intersection graphs, output sensitive algorithm, proximity graphs, range searching, unit square intersection graph, witness representation, Software

Citation

Löffler, M, Staals, F & Terziadis, S 2025, Recovering Graphs from Their Witness Unit Square Representation. in V Dujmovic & F Montecchiani (eds), 33rd International Symposium on Graph Drawing and Network Visualization, GD 2025., 44, Leibniz International Proceedings in Informatics, LIPIcs, vol. 357, Dagstuhl Publishing, 33rd International Symposium on Graph Drawing and Network Visualization, GD 2025, Norrkoping, Sweden, 24/09/25. https://doi.org/10.4230/LIPIcs.GD.2025.44, conference