Cops & robber on periodic temporal graphs: Characterization and improved bounds

JL De Carufel, P Flocchini, N Santoro… - … Colloquium on Structural …, 2023 - Springer
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 …

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 …

Copnumbers of periodic graphs

JL De Carufel, P Flocchini, N Santoro… - arXiv preprint arXiv …, 2023 - arxiv.org
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 …

Exploration of dynamic networks: tight bounds on the number of agents

T Gotoh, P Flocchini, T Masuzawa, N Santoro - Journal of Computer and …, 2021 - Elsevier
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 …

Dynamic Ring Exploration with (H,S) View

T Gotoh, Y Sudo, F Ooshita, T Masuzawa - Algorithms, 2020 - mdpi.com
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 …

Partial gathering of mobile agents in dynamic rings

M Shibata, Y Sudo, J Nakamura, Y Kim - Stabilization, Safety, and Security …, 2021 - Springer
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 …

Beyond rings: Gathering in 1-interval connected graphs

O Michail, PG Spirakis, M Theofilatos - Parallel Processing Letters, 2021 - World Scientific
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 …

Cops & Robber on Periodic Temporal Graphs

JL De Carufel, P Flocchini, N Santoro… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

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 …

Exploration of dynamic tori by multiple agents

T Gotoh, Y Sudo, F Ooshita, H Kakugawa… - Theoretical Computer …, 2021 - Elsevier
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 …