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Hypergraphs have been a recent focus of study in mathematical data science as a tool to understand complex networks with high-order connections. One question of particular relevance is how to leverage information carried in hypergraph…

Social and Information Networks · Computer Science 2024-05-09 Enzo Battistella , Sean English , Robert Green , Cliff Joslyn , Evgeniya Lagoda , Van Magnan , Audun Myers , Evan D. Nash , Michael Robinson

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

In this paper we study the problem of answering connectivity queries about a \emph{graph timeline}. A graph timeline is a sequence of undirected graphs $G_1,\ldots,G_t$ on a common set of vertices of size $n$ such that each graph is…

Data Structures and Algorithms · Computer Science 2015-06-10 Adam Karczmarz , Jakub Łącki

Controlling real-world networked systems, including ecological, biomedical, and engineered networks that exhibit higher-order interactions, remains challenging due to inherent nonlinearities and large system scales. Despite extensive…

Optimization and Control · Mathematics 2026-03-23 Joshua Pickard , Xin Mao , Can Chen

We spot a hole in the area of succinct data structures for graph classes from a universe of size at most $n^n$. Very often, the input graph is labeled by the user in an arbitrary and easy-to-use way, and the data structure for the graph…

Data Structures and Algorithms · Computer Science 2023-11-07 Sankardeep Chakraborty , Christian Engels , Seungbum Jo , Mingmou Liu

We create a framework to analyse the timing and frequency of instantaneous interactions between pairs of entities. This type of interaction data is especially common nowadays, and easily available. Examples of instantaneous interactions…

Methodology · Statistics 2021-04-01 Riccardo Rastelli , Marco Corneli

Temporal graphs are graphs whose edges are labelled with times at which they are active. Their time-sensitivity provides a useful model of real networks, but renders many problems studied on temporal graphs more computationally complex than…

Discrete Mathematics · Computer Science 2026-04-28 Jessica Enright , Samuel D. Hand , Laura Larios-Jones , Kitty Meeks

In a strongly connected graph $G = (V,E)$, a cut arc (also called strong bridge) is an arc $e \in E$ whose removal makes the graph no longer strongly connected. Equivalently, there exist $u,v \in V$, such that all $u$-$v$ walks contain $e$.…

Discrete Mathematics · Computer Science 2022-10-17 Massimo Cairo , Shahbaz Khan , Romeo Rizzi , Sebastian Schmidt , Alexandru I. Tomescu , Elia C. Zirondelli

Temporal graphs represent binary relationships that change along time. They can model the dynamism of, for example, social and communication networks. Temporal graphs are defined as sets of contacts that are edges tagged with the temporal…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Diego Caro , Antonio Fariña , M. Andrea Rodriguez

In this paper, we study the complexity of the periodic temporal graph realization problem with respect to upper bounds on the fastest path durations among its vertices. This constraint with respect to upper bounds appears naturally in…

Data Structures and Algorithms · Computer Science 2025-04-22 George B. Mertzios , Hendrik Molter , Nils Morawietz , Paul G. Spirakis

A temporal graph is a graph whose edges are available only at certain points in time. It is temporally connected if the nodes can reach each other by paths that traverse the edges chronologically (temporal paths). In general, temporal…

Discrete Mathematics · Computer Science 2025-02-04 Daniele Carnevale , Arnaud Casteigts , Timothée Corsini

Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2014-09-10 Matteo Camilli

Research on link prediction in knowledge graphs has mainly focused on static multi-relational data. In this work we consider temporal knowledge graphs where relations between entities may only hold for a time interval or a specific point in…

Artificial Intelligence · Computer Science 2018-09-11 Alberto García-Durán , Sebastijan Dumančić , Mathias Niepert

We study the Temporal Exploration problem, where an agent must visit all vertices of a temporal graph while traversing at most one available edge per time step. Unlike static graphs, which can be explored in linear time, temporal…

Data Structures and Algorithms · Computer Science 2026-05-18 Ivan Lahtin , Viktor Zamaraev

Temporal graphs are graphs whose topology is subject to discrete changes over time. Given a static underlying graph $G$, a temporal graph is represented by assigning a set of integer time-labels to every edge $e$ of $G$, indicating the…

Discrete Mathematics · Computer Science 2020-09-30 George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Viktor Zamaraev , Philipp Zschoche

Temporal graphs are a special class of graphs for which a temporal component is added to edges, that is, each edge possesses a set of times at which it is available and can be traversed. Many classical problems on graphs can be translated…

Data Structures and Algorithms · Computer Science 2025-04-10 Lapo Cioni , Riccardo Dondi , Andrea Marino , Jason Schoeters , Ana Silva

A graph G is c-closed if every two vertices with at least c common neighbors are adjacent to each other. Introduced by Fox, Roughgarden, Seshadhri, Wei and Wein [ICALP 2018, SICOMP 2020], this definition is an abstraction of the triadic…

Data Structures and Algorithms · Computer Science 2025-04-04 Tom Davot , Jessica Enright , Jayakrishnan Madathil , Kitty Meeks

Electronic communication records provide detailed information about temporal aspects of human interaction. Previous studies have shown that individuals' communication patterns have complex temporal structure, and that this structure has…

Physics and Society · Physics 2014-03-05 Lauri Kovanen , Kimmo Kaski , János Kertész , Jari Saramäki

Temporal networks are essential for modeling and understanding systems whose behavior varies in time, from social interactions to biological systems. Often, however, real-world data are prohibitively expensive to collect in a large scale or…

Social and Information Networks · Computer Science 2023-08-23 Antonio Longa , Giulia Cencetti , Sune Lehmann , Andrea Passerini , Bruno Lepri

This paper utilizes well-designed item-item path modelling between consecutive items with attention mechanisms to sequentially model dynamic user-item evolutions on dynamic knowledge graph for explainable recommendations. Compared with…

Social and Information Networks · Computer Science 2021-01-06 Hongxu Chen , Yicong Li , Xiangguo Sun , Guandong Xu , Hongzhi Yin
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