3 years ago

Combinatorial Properties and Recognition of Unit Square Visibility Graphs.

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

Unit square (grid) visibility graphs (USV and USGV, resp.) are described by axis-parallel 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.

Publisher URL: http://arxiv.org/abs/1706.05906

DOI: arXiv:1706.05906v2

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