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In the Localization game played on graphs, a set of cops uses distance probes to identify the location of an invisible robber. We present an extension of the game and its main parameter, the localization number, to directed graphs. We present several
Externí odkaz:
http://arxiv.org/abs/2208.07788
Autor:
Behague, Natalie C., Bonato, Anthony, Huggan, Melissa A., Marbach, Trent G., Pittman, Brittany
The localization game is a pursuit-evasion game analogous to Cops and Robbers, where the robber is invisible and the cops send distance probes in an attempt to identify the location of the robber. We present a novel graph parameter called the capture
Externí odkaz:
http://arxiv.org/abs/2105.09806
In a graph, a watchman's walk is a minimum closed dominating walk. Given a graph $G$ and a single watchman, the length of a watchman's walk in $G$ (the watchman number) is denoted by $w(G)$ and the typical goals of the watchman's walk problem is to d
Externí odkaz:
http://arxiv.org/abs/2007.13901
The watchman's walk problem in a digraph calls for finding a minimum length closed dominating walk, where direction of arcs is respected. The watchman's walk of a de Bruijn graph of order $k$ is described by a de Bruijn sequence of order $k-1$. This
Externí odkaz:
http://arxiv.org/abs/2007.12825
Publikováno v:
In Discrete Applied Mathematics 30 October 2023 338:145-157
Akademický článek
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Akademický článek
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Autor:
Pittman, Brittany
A watchman’s walk in a graph is a minimum closed dominating walk. Given a graph and a single watchman, the aim of the Watchman’s walk problem is to find a shortest closed walk that allows the guard to efficiently monitor all vertices in the graph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b29c7a715444fcea71528d7ef53c22d1
Autor:
Pittman, Brittany
Publikováno v:
Dental Nursing; Jan2024, Vol. 20 Issue 1, p22-23, 2p
Autor:
Fernández-Peña C; Department of Developmental Neurobiology, St. Jude Children's Research Hospital, Memphis, TN, 38105., Pace RL; Department of Developmental Neurobiology, St. Jude Children's Research Hospital, Memphis, TN, 38105., Fernando LM; Department of Developmental Neurobiology, St. Jude Children's Research Hospital, Memphis, TN, 38105., Pittman BG; Department of Developmental Neurobiology, St. Jude Children's Research Hospital, Memphis, TN, 38105., Schwarz LA; Department of Developmental Neurobiology, St. Jude Children's Research Hospital, Memphis, TN, 38105.
Publikováno v:
BioRxiv : the preprint server for biology [bioRxiv] 2024 Sep 12. Date of Electronic Publication: 2024 Sep 12.