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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

Multi-Agent Path Finding (MAPF) requires computing collision-free paths for multiple agents in shared environment. Most MAPF planners assume that each agent reaches a specific location at a specific timestep, but this is infeasible to…

Multiagent Systems · Computer Science 2025-08-08 Yifan Su , Rishi Veerapaneni , Jiaoyang Li

In many real-world applications, the evolving relationships between entities can be modeled as temporal graphs, where each edge has a timestamp representing the interaction time. As a fundamental problem in graph analysis, {\it community…

Information Retrieval · Computer Science 2025-06-04 Yue Zhang , Yankai Chen , Yingli Zhou , Yucan Guo , Xiaolin Han , Chenhao Ma

Let $G$ be a directed graph with $n$ vertices, $m$ edges, and non-negative edge costs. Given $G$, a fixed source vertex $s$, and a positive integer $p$, we consider the problem of computing, for each vertex $t\neq s$, $p$ edge-disjoint…

Data Structures and Algorithms · Computer Science 2021-06-24 Davide Bilò , Gianlorenzo D'Angelo , Luciano Gualà , Stefano Leucci , Guido Proietti , Mirko Rossi

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 knowledge graphs (TKGs) inherently reflect the transient nature of real-world knowledge, as opposed to static knowledge graphs. Naturally, automatic TKG completion has drawn much research interests for a more realistic modeling of…

Machine Learning · Computer Science 2020-12-22 Jaehun Jung , Jinhong Jung , U Kang

Temporal information is increasingly available as part of large network data sets. This information reveals sequences of link activations between network entities, which can expose underlying processes in the data. Examples include the…

Social and Information Networks · Computer Science 2016-05-10 Ursula Redmond , Pádraig Cunningham

The Temporal Graph Exploration problem (TEXP) takes as input a temporal graph, i.e., a sequence of graphs $(G_i)_{i\in \mathbb{N}}$ on the same vertex set, and asks for a walk of shortest length visiting all vertices, where the $i$-th step…

Discrete Mathematics · Computer Science 2025-08-06 Samuel Baguley , Andreas Göbel , Nicolas Klodt , George Skretas , John Sylvester , Viktor Zamaraev

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

With the introduction of the graph-theoretic time-inconsistent planning model due to Kleinberg and Oren, it has been possible to investigate the computational complexity of how a task designer best can support a present-biased agent in…

Computational Complexity · Computer Science 2019-11-19 Fedor V. Fomin , Torstein J. F. Strømme

Temporal Graph Learning, which aims to model the time-evolving nature of graphs, has gained increasing attention and achieved remarkable performance recently. However, in reality, graph structures are often incomplete and noisy, which…

Machine Learning · Computer Science 2023-08-16 Haozhen Zhang , Xueting Han , Xi Xiao , Jing Bai

Temporal graph learning aims to generate high-quality representations for graph-based tasks with dynamic information, which has recently garnered increasing attention. In contrast to static graphs, temporal graphs are typically organized as…

Machine Learning · Computer Science 2024-04-30 Meng Liu , Ke Liang , Yawei Zhao , Wenxuan Tu , Sihang Zhou , Xinbiao Gan , Xinwang Liu , Kunlun He

Reconstruction of evolutionary relationships between species is an important topic in the field of computational biology. Pairwise compatibility graphs (PCGs) are used to model such relationships. A graph is a PCG if its edges can be…

Discrete Mathematics · Computer Science 2024-10-17 Seemab Hayat , Naveed Ahmed Azam

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

Machine Learning · Computer Science 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

Given an undirected graph $G=(V,E)$ with positive edge lengths and two vertices $s$ and $t$, the next-to-shortest path problem is to find an $st$-path which length is minimum amongst all $st$-paths strictly longer than the shortest path…

Data Structures and Algorithms · Computer Science 2012-03-22 Bang Ye Wu

Inferring missing facts in temporal knowledge graphs (TKGs) is a fundamental and challenging task. Previous works have approached this problem by augmenting methods for static knowledge graphs to leverage time-dependent representations.…

Machine Learning · Computer Science 2020-10-09 Jiapeng Wu , Meng Cao , Jackie Chi Kit Cheung , William L. Hamilton

We study the computational complexity of determining structural properties of edge periodic temporal graphs (EPGs). EPGs are time-varying graphs that compactly represent periodic behavior of components of a dynamic network, for example,…

Computational Complexity · Computer Science 2022-03-16 Emmanuel Arrighi , Niels Grüttemeier , Nils Morawietz , Frank Sommer , Petra Wolf

Graph representation learning (also known as network embedding) has been extensively researched with varying levels of granularity, ranging from nodes to graphs. While most prior work in this area focuses on node-level representation,…

Machine Learning · Computer Science 2023-06-05 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

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

A temporal (directed) graph is a graph whose edges are available only at specific times during its lifetime, $\tau$. Paths are sequences of adjacent edges whose appearing times are either strictly increasing or non-strictly increasingly…

Combinatorics · Mathematics 2023-03-01 Isnard Lopes Costa , Raul Lopes , Andrea Marino , Ana Silva
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