Negative Instance for the Edge Patrolling Beacon Problem
| Autor: | Abel, Zachary, Akitaya, Hugo A., Demaine, Erik D., Demaine, Martin L., Hesterberg, Adam, Korman, Matias, Ku, Jason S., Lynch, Jayson |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Can an infinite-strength magnetic beacon always ``catch'' an iron ball, when the beacon is a point required to be remain nonstrictly outside a polygon, and the ball is a point always moving instantaneously and maximally toward the beacon subject to staying nonstrictly within the same polygon? Kouhestani and Rappaport [JCDCG 2017] gave an algorithm for determining whether a ball-capturing beacon strategy exists, while conjecturing that such a strategy always exists. We disprove this conjecture by constructing orthogonal and general-position polygons in which the ball and the beacon can never be united. Comment: Full version of a JCDCGGG2018 paper, 8 pages, 4 figures |
| Databáze: | arXiv |
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