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arXiv · 1706.05906

Combinatorial Properties and Recognition of Unit Square Visibility Graphs

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

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.

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Katrin Casel, Henning Fernau, Alexander Grigoriev, Markus L. Schmid, Sue Whitesides. 2017-06-19. Combinatorial Properties and Recognition of Unit Square Visibility Graphs. https://arxiv.org/abs/1706.05906

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