Combinatorial Properties and Recognition of Unit Square Visibility Graphs

Katrin Casel, Henning Fernau, Alexander Grigoriev, Markus L. Schmid, Sue Whitesides

Research output: Book/ReportReportAcademic

Abstract

Unit square (grid) visibility graphs (USV and USGV, resp.) are described by axisparallel visibility between unit squares placed (on integer grid coordinates) in the plane. We investigate combinatorial properties of these graph classes and the hardness of variants of the recognition problem, i. e., the problem of representing USGV with fixed visibilities within small area and, for USV, the general recognition problem.
Original languageEnglish
Place of PublicationCornell University Library, US
PublisherarXiv.org at Cornell University Library
Number of pages32
Volume1706.05906
Publication statusPublished - 20 Oct 2017

Cite this

Casel, K., Fernau, H., Grigoriev, A., Schmid, M. L., & Whitesides, S. (2017). Combinatorial Properties and Recognition of Unit Square Visibility Graphs. arXiv.org at Cornell University Library. https://arxiv.org/pdf/1706.05906.pdf