[КНИГА][B] An invitation to pursuit-evasion games and graph theory

A Bonato - 2022 - books.google.com
Graphs measure interactions between objects such as friendship links on Twitter,
transactions between Bitcoin users, and the flow of energy in a food chain. While graphs …

[HTML][HTML] Spy-game on graphs: Complexity and simple topologies

N Cohen, NA Martins, F Mc Inerney, N Nisse… - Theoretical Computer …, 2018 - Elsevier
We define and study the following two-player game on a graph G. Let k∈ N⁎. A set of k
guards is occupying some vertices of G while one spy is standing at some node. At each …

Parameterized analysis of the cops and robber problem

H Gahlawat, M Zehavi - arxiv preprint arxiv:2307.04594, 2023 - arxiv.org
\textit {Pursuit-evasion games} have been intensively studied for several decades due to
their numerous applications in artificial intelligence, robot motion planning, database theory …

Study of a combinatorial game in graphs through linear programming

N Cohen, F Mc Inerney, N Nisse, S Pérennes - Algorithmica, 2020 - Springer
In the Spy game played on a graph G, a single spy travels the vertices of G at speed s, while
multiple slow guards strive to have, at all times, one of them within distance d of that spy. In …

Cops and Robber on butterflies, grids, and AT-free graphs

SS Akhtar, S Das, H Gahlawat - Discrete Applied Mathematics, 2024 - Elsevier
Cops and Robber is a well-studied two player pursuit-evasion game played on a graph. In
this game, a set of cops, controlled by the first player, tries to capture the position of a robber …

Catching an infinitely fast robber on a grid

WB Kinnersley, N Townsend - Discrete Applied Mathematics, 2022 - Elsevier
We consider a variant of Cops and Robbers in which the robber may traverse as many
edges as he likes in each turn, with the constraint that he cannot pass through any vertex …

Cops and robber on cartesian products and some classes of hypergraphs

P Siriwong, R Boonklurb, H Liu, S Singhun - arxiv preprint arxiv …, 2021 - arxiv.org
The game of Cops and Robber is a pursuit-evasion game which is usually played on a
connected graph. In the game, a set of cops and a robber move around the vertices of a …

The Cops and Robber game on some graph classes

H Gahlawat - 2022 - dspace.isical.ac.in
Cops and Robber is a two-player pursuit-evasion game played on graphs. Here, one player
controls a set of k cops, and the other player controls a single robber. The game starts with k …

Temporal distances and cops and robber games on temporal networks

F Simard - 2024 - ruor.uottawa.ca
Temporal networks have gained in popularity in the last decade for their ability to model how
connections vary over time. We are interested in understanding their structure and analyzing …

Capture times in the bridge-burning cops and robbers game

R Herrman, P van Hintum, SGZ Smith - Discrete Applied Mathematics, 2022 - Elsevier
In this paper, we consider a variant of the cops and robbers game on a graph, introduced by
Kinnersley and Peterson, in which every time the robber uses an edge, it is removed from …