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The Directed Traveling Salesman Problem (DTSP) is a variant of the classical Traveling Salesman Problem in which the edges in the graph are directed and a vertex and edge can be visited multiple times. The goal is to find a directed closed…

Data Structures and Algorithms · Computer Science 2025-09-17 Václav Blažej , Andreas Emil Feldmann , Foivos Fioravantes , Paweł Rzążewski , Ondřej Suchý

We study the network untangling problem introduced by Rozenshtein, Tatti, and Gionis [DMKD 2021], which is a variant of Vertex Cover on temporal graphs -- graphs whose edge set changes over discrete time steps. They introduce two problem…

Data Structures and Algorithms · Computer Science 2022-04-07 Vincent Froese , Pascal Kunz , Philipp Zschoche

Temporal graphs represent networks in which connections change over time, with edges available only at specific moments. Motivated by applications in logistics, multi-agent information spreading, and wireless networks, we introduce the…

Data Structures and Algorithms · Computer Science 2026-02-13 Daniele Carnevale , Gianlorenzo D'Angelo

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

We study the version of the $k$-disjoint paths problem where $k$ demand pairs $(s_1,t_1)$, $\dots$, $(s_k,t_k)$ are specified in the input and the paths in the solution are allowed to intersect, but such that no vertex is on more than $c$…

Data Structures and Algorithms · Computer Science 2016-05-09 Saeed Akhoondian Amiri , Stephan Kreutzer , Dániel Marx , Roman Rabinovich

This paper formalises the Canadian Traveller problem as a positional two-player game on graphs. We consider two variants depending on whether an edge is blocked. In the locally-informed variant, the traveller learns if an edge is blocked…

Data Structures and Algorithms · Computer Science 2024-07-24 Thomas Bellitto , Johanne Cohen , Bruno Escoffier , Minh-Hang Nguyen , Mikael Rabie

A temporal graph is a dynamic graph where every edge is assigned a set of integer time labels that indicate at which discrete time step the edge is available. In this paper, we study how changes of the time labels, corresponding to delays…

Data Structures and Algorithms · Computer Science 2020-11-13 Argyrios Deligkas , Igor Potapov

In a temporal graph the edge set dynamically changes over time according to a set of time-labels associated with each edge that indicates at which time-steps the edge is available. Two vertices are connected if there is a path connecting…

Data Structures and Algorithms · Computer Science 2025-04-24 Daniele Carnevale , Gianlorenzo D'Angelo , Martin Olsen

Temporal networks model a variety of important phenomena involving timed interactions between entities. Existing methods for machine learning on temporal networks generally exhibit at least one of two limitations. First, time is assumed to…

Machine Learning · Computer Science 2022-10-04 Sudhanshu Chanpuriya , Ryan A. Rossi , Sungchul Kim , Tong Yu , Jane Hoffswell , Nedim Lipka , Shunan Guo , Cameron Musco

Temporal graphs have been recently introduced to model changes to a given network that occur throughout a fixed period of time. The Temporal $\Delta$ Clique problem, that generalizes the well known Clique problem to temporal graphs, has…

Data Structures and Algorithms · Computer Science 2022-10-14 Danny Hermelin , Yuval Itzhaki , Hendrik Molter , Rolf Niedermeier

In this work we consider temporal graphs, i.e. graphs, each edge of which is assigned a set of discrete time-labels drawn from a set of integers. The labels of an edge indicate the discrete moments in time at which the edge is available. We…

Data Structures and Algorithms · Computer Science 2013-10-30 Paul G. Spirakis , Eleni Ch. Akrida

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time;…

Data Structures and Algorithms · Computer Science 2017-02-01 Fidaa Abed , Lin Chen , Yann Disser , Martin Groß , Nicole Megow , Julie Meißner , Alexander T. Richter , Roman Rischke

Many real world networks are considered temporal networks, in which the chronological ordering of the edges has importance to the meaning of the data. Performing temporal subgraph matching on such graphs requires the edges in the subgraphs…

Data Structures and Algorithms · Computer Science 2018-01-25 Patrick Mackey , Katherine Porterfield , Erin Fitzhenry , Sutanay Choudhury , George Chin

In the Disjoint Shortest Paths problem one is given a graph $G$ and a set $\mathcal{T}=\{(s_1,t_1),\dots,(s_k,t_k)\}$ of $k$ vertex pairs. The question is whether there exist vertex-disjoint paths $P_1,\dots,P_k$ in $G$ so that each $P_i$…

Data Structures and Algorithms · Computer Science 2025-05-07 Michał Pilipczuk , Giannos Stamoulis , Michał Włodarczyk

Temporal graphs have edge sets that change over discrete time steps. Such graphs are temporally connected (TC) if all pairs of vertices can reach each other using paths that traverse the edges in a time-respecting way (temporal paths).…

Data Structures and Algorithms · Computer Science 2026-04-28 Arnaud Casteigts , Hendrik Molter , Meirav Zehavi

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

Social and Information Networks · Computer Science 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

Real-time analysis of graphs containing temporal information, such as social media streams, Q&A networks, and cyber data sources, plays an important role in various applications. Among them, detecting patterns is one of the fundamental…

Databases · Computer Science 2023-12-19 Seunghwan Min , Jihoon Jang , Kunsoo Park , Dora Giammarresi , Giuseppe F. Italiano , Wook-Shin Han

Given a population with dynamic pairwise connections, we ask if the entire population could be (indirectly) infected by a small group of $k$ initially infected individuals. We formalise this problem as the Temporal Reachability Dominating…

Discrete Mathematics · Computer Science 2024-05-06 David C. Kutner , Laura Larios-Jones

We study how we can accelerate the spreading of information in temporal graphs via shifting operations; a problem that captures real-world applications varying from information flows to distribution schedules. In a temporal graph there is a…

Data Structures and Algorithms · Computer Science 2025-10-09 Argyrios Deligkas , Eduard Eiben , George Skretas

Temporal graphs are graphs whose edges are only present at certain points in time. Reachability in these graphs relies on temporal paths, where edges are traversed chronologically. A temporal graph that offers all-pairs reachability is said…

Computational Complexity · Computer Science 2026-04-28 Arnaud Casteigts , Christian Komusiewicz , Nils Morawietz