Partially walking a polygon

F. Aurenhammer; M. Steinkogler; R. Klein

doi:10.1016/j.comgeo.2019.07.002

Partially walking a polygon

F. Aurenhammer, M. Steinkogler, R. Klein

Institute of Theoretical Computer Science (7080)

Research output: Contribution to journal › Article › peer-review

Abstract

Deciding two-guard walkability of an n-sided polygon is a well-understood problem. We study the following more general question: How far can two guards reach from a given source vertex while staying mutually visible, in the (more realistic) case that the polygon is not entirely walkable? There can be Θ (n) such maximal walks, and we show how to find all of them in O (n log⁡ n) time.

Original language	English
Pages (from-to)	3-11
Journal	Computational Geometry: Theory and Applications
Issue number	84
DOIs	https://doi.org/10.1016/j.comgeo.2019.07.002
Publication status	Published - 2019

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10.1016/j.comgeo.2019.07.002

https://www.sciencedirect.com/science/article/pii/S0925772119301014

Cite this

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title = "Partially walking a polygon",

abstract = "Deciding two-guard walkability of an n-sided polygon is a well-understood problem. We study the following more general question: How far can two guards reach from a given source vertex while staying mutually visible, in the (more realistic) case that the polygon is not entirely walkable? There can be Θ (n) such maximal walks, and we show how to find all of them in O (n log⁡ n) time.",

author = "F. Aurenhammer and M. Steinkogler and R. Klein",

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AU - Steinkogler, M.

AU - Klein, R.

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AB - Deciding two-guard walkability of an n-sided polygon is a well-understood problem. We study the following more general question: How far can two guards reach from a given source vertex while staying mutually visible, in the (more realistic) case that the polygon is not entirely walkable? There can be Θ (n) such maximal walks, and we show how to find all of them in O (n log⁡ n) time.

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DO - 10.1016/j.comgeo.2019.07.002

M3 - Article

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JO - Computational Geometry: Theory and Applications

JF - Computational Geometry: Theory and Applications

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