Cops & robber on periodic temporal graphs: Characterization and improved bounds
We study the classical Cops and Robber game when the cops and the robber move on an
infinite periodic sequence of graphs on the same set V of n vertices: in round t, the topology …
infinite periodic sequence of graphs on the same set V of n vertices: in round t, the topology …
Tight bounds on distributed exploration of temporal graphs
T Gotoh, P Flocchini, T Masuzawa… - … on Principles of …, 2020 - drops.dagstuhl.de
Temporal graphs (or evolving graphs) are time-varying graphs where time is assumed to be
discrete. In this paper, we consider for the first time the problem of exploring temporal graphs …
discrete. In this paper, we consider for the first time the problem of exploring temporal graphs …
Copnumbers of periodic graphs
A periodic temporal graph $\mathcal {G}=(G_0, G_1,\dots, G_ {p-1})^* $ is an infinite periodic
sequence of graphs $ G_i=(V, E_i) $ where $ G=(V,\cup_i E_i) $ is called the footprint …
sequence of graphs $ G_i=(V, E_i) $ where $ G=(V,\cup_i E_i) $ is called the footprint …
Exploration of dynamic networks: tight bounds on the number of agents
We consider, for the first time, the exploration of dynamic graphs of arbitrary unknown
topology. We study the number of agents necessary and sufficient to explore such graphs …
topology. We study the number of agents necessary and sufficient to explore such graphs …
Dynamic Ring Exploration with (H,S) View
The researches about a mobile entity (called agent) on dynamic networks have attracted a
lot of attention in recent years. Exploration which requires an agent to visit all the nodes in …
lot of attention in recent years. Exploration which requires an agent to visit all the nodes in …
Partial gathering of mobile agents in dynamic rings
In this paper, we consider the partial gathering problem of mobile agents in synchronous
dynamic bidirectional rings. The partial gathering problem is a generalization of the (well …
dynamic bidirectional rings. The partial gathering problem is a generalization of the (well …
Beyond rings: Gathering in 1-interval connected graphs
We examine the problem of gathering k≥ 2 agents (or multi-agent rendezvous) in dynamic
graphs which may change in every round. We consider a variant of the 1-interval …
graphs which may change in every round. We consider a variant of the 1-interval …
Cops & Robber on Periodic Temporal Graphs
We consider the Cops and Robber pursuit-evasion game when the edge-set of the graph is
allowed to change in time, possibly at every round. Specifically, the game is played on an …
allowed to change in time, possibly at every round. Specifically, the game is played on an …
Partial gathering of mobile agents in dynamic tori
M Shibata, N Kitamura, R Eguchi, Y Sudo… - 2nd Symposium on …, 2023 - drops.dagstuhl.de
In this paper, we consider the partial gathering problem of mobile agents in synchronous
dynamic tori. The partial gathering problem is a generalization of the (well-investigated) total …
dynamic tori. The partial gathering problem is a generalization of the (well-investigated) total …
Exploration of dynamic tori by multiple agents
Mobile agents (agents) are objects which can migrate autonomously in a distributed system
and execute actions at visited nodes. One of the most fundamental problems of agents is …
and execute actions at visited nodes. One of the most fundamental problems of agents is …