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DOI: 10.4230/LIPIcs.SWAT.2022.17

Lions and Contamination: Monotone Clearings

Authors: Daniel Bertschinger, Meghana M. Reddy, and Enrico Mann

Published in: LIPIcs, Volume 227, 18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022)

Abstract

We consider a special variant of a pursuit-evasion game called lions and contamination. In a graph whose vertices are originally contaminated, a set of lions walk around the graph and clear the contamination from every vertex they visit. The contamination, however, simultaneously spreads to any adjacent vertex not occupied by a lion. We study the relationship between different types of clearings of graphs, such as clearings which do not allow recontamination, clearings where at most one lion moves at each time step and clearings where lions are forbidden to be stacked on the same vertex. We answer several questions raised by Adams et al. [H. Adams et al., 2020].

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Daniel Bertschinger, Meghana M. Reddy, and Enrico Mann. Lions and Contamination: Monotone Clearings. In 18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 227, pp. 17:1-17:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{bertschinger_et_al:LIPIcs.SWAT.2022.17,
  author =	{Bertschinger, Daniel and M. Reddy, Meghana and Mann, Enrico},
  title =	{{Lions and Contamination: Monotone Clearings}},
  booktitle =	{18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022)},
  pages =	{17:1--17:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-236-5},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{227},
  editor =	{Czumaj, Artur and Xin, Qin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SWAT.2022.17},
  URN =		{urn:nbn:de:0030-drops-161778},
  doi =		{10.4230/LIPIcs.SWAT.2022.17},
  annote =	{Keywords: Algorithmic Games, Pursuit-Evasion Games, Graph Contamination, Clearings}
}

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Lions and Contamination: Monotone Clearings

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