In this game, first k cops occupy some vertices of the graph. Then, one robber occupies a vertex. Turn-by-turn, each player may move its token (the cops first ...

May 16, 2018 · Two-player turn-by-turn games on graphs have been well studied with two of the well-known games being the Cops and robber game [19], [7] and the ...

Feb 9, 2017 · Abstract. 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 ...

Definition. For all s ≥ 2, d ≥ 0 and a graph G, gns,d (G) is the minimum number of guards guaranteed to win vs the spy. Cohen, Martins, Mc Inerney, Nisse, ...

This game generalizes two well-studied games: Cops and robber games (when s = 1) and Eternal Dominating Set (when s is unbounded). We consider the computational ...

Jun 2, 2016 · This game generalizes two well-studied games: Cops and robber games (when s=1) and Eternal Dominating Set (when s is unbounded). We consider the ...

In the (s,d)-spy game over a graph G, k guards and one spy occupy some vertices of G and, at each turn, the spy may move with speed s (along at most s edges) ...

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 ...

Jun 28, 2016 · Goal of the Spy game. Spy must reach a node at distance > d from all cops. (after Guards' moves). Guards must always “control” the Spy at.

Oct 20, 2021 · The spy wins if, after a finite number of turns (after the guards' move), she reaches a vertex at distance greater than d from every guard.