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The shortest path problem is among the most fundamental combinatorial optimization problems to answer reachability queries. It is hard to deter-mine which vertices or edges are visited during shortest path traversals. In this paper, we…

Social and Information Networks · Computer Science 2014-12-30 Waqas Nawaz , Kifayat Ullah Khan , Young-Koo Lee

The generalised random graph contains $n$ vertices with positive i.i.d. weights. The probability of adding an edge between two vertices is increasing in their weights. We require the weight distribution to have finite second moments and…

Probability · Mathematics 2026-04-01 Matthias Lienau

Dynamic graphs are rife with higher-order interactions, such as co-authorship relationships and protein-protein interactions in biological networks, that naturally arise between more than two nodes at once. In spite of the ubiquitous…

Machine Learning · Computer Science 2021-02-09 Manohar Kaul , Masaaki Imaizumi

In the Directed Long Cycle Hitting Set} problem we are given a directed graph $G$, and the task is to find a set $S$ of at most $k$ vertices/arcs such that $G-S$ has no cycle of length longer than $\ell$. We show that the problem can be…

Data Structures and Algorithms · Computer Science 2020-03-12 Alexander Göke , Dániel Marx , Matthias Mnich

For a directed graph $G$ with $n$ vertices and a start vertex $u_{\sf start}$, we wish to (approximately) sample an $L$-step random walk over $G$ starting from $u_{\sf start}$ with minimum space using an algorithm that only makes few passes…

Data Structures and Algorithms · Computer Science 2021-02-23 Lijie Chen , Gillat Kol , Dmitry Paramonov , Raghuvansh Saxena , Zhao Song , Huacheng Yu

We introduce a family of novel ranking algorithms called ERank which run in linear/near linear time and build on explicitly modeling a network as uncertain evidence. The model uses Probabilistic Argumentation Systems (PAS) which are a…

Artificial Intelligence · Computer Science 2008-02-25 Burak Cetin , Haluk Bingol

Entity-linking is a natural-language-processing task that consists in identifying the entities mentioned in a piece of text, linking each to an appropriate item in some knowledge base; when the knowledge base is Wikipedia, the problem comes…

Data Structures and Algorithms · Computer Science 2014-07-31 Roi Blanco , Paolo Boldi , Andrea Marino

Link prediction on dynamic networks has been extensively studied and widely applied in various applications. However, temporal unlink prediction, which also plays an important role in the evolution of social networks, has not been paid much…

Social and Information Networks · Computer Science 2021-12-17 Christina Muro , Boyu Li , Kun He

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

We propose an online heuristic algorithm for the problem of network slice placement optimization. The solution is adapted to support placement on large scale networks and integrates Edge-specific and URLLC constraints. We rely on an…

Networking and Internet Architecture · Computer Science 2020-10-19 Jose Jurandir Alves Esteves , Amina Boubendir , Fabrice Guillemin , Pierre Sens

We introduce a novel evolutionary formulation of the problem of finding a maximum independent set of a graph. The new formulation is based on the relationship that exists between a graph's independence number and its acyclic orientations.…

Neural and Evolutionary Computing · Computer Science 2007-05-23 V. C. Barbosa , L. C. D. Campos

The growing interest in Explainable Artificial Intelligence (XAI) motivates promising studies of computing optimal Interpretable Machine Learning models, especially decision trees. Such models generally provide optimality in compact size or…

Artificial Intelligence · Computer Science 2024-08-23 Hao Hu , Shaowei Cai

Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced…

Social and Information Networks · Computer Science 2024-06-18 Jingbang Chen , Qiuyang Mang , Hangrui Zhou , Richard Peng , Yu Gao , Chenhao Ma

Multiple sequence alignment is a key process in today's biology, and finding a relevant alignment of several sequences is much more challenging than just optimizing some improbable evaluation functions. Our approach for addressing multiple…

Quantitative Methods · Quantitative Biology 2008-12-18 Frédéric Guinand , Yoann Pigné

This paper investigated the problem of embedding a simple Hamiltonian Cycle with n vertices on n points inside a simple polygon. This problem seeks to embed a straight-line cycle (without bends), which does not intersect either itself or…

Computational Geometry · Computer Science 2022-08-22 Maryam Fadavian , Heidar Fadavian

We give a combinatorial condition for the existence of efficient, LP-based FPT algorithms for a broad class of graph-theoretical optimisation problems. Our condition is based on the notion of biased graphs known from matroid theory.…

Data Structures and Algorithms · Computer Science 2020-02-21 Euiwoong Lee , Magnus Wahlström

We provide a fast distributed algorithm for detecting $h$-cycles in the \textsf{Congested Clique} model, whose running time decreases as the number of $h$-cycles in the graph increases. In undirected graphs, constant-round algorithms are…

Data Structures and Algorithms · Computer Science 2024-08-28 Keren Censor-Hillel , Tomer Even , Virginia Vassilevska Williams

Stochastic modeling of movement behavior provides a valuable way to understand how complex motion can be generated from relatively simple building blocks. Ants demonstrate sophisticated social behavior ranging from foraging to nest…

Quantitative Methods · Quantitative Biology 2026-03-04 Jack Featherstone , Anouk Béraud , Meta Virant-Doberlet , Antonio Celani , Mahesh Bandi

Combinatorial optimization problems are notoriously challenging for neural networks, especially in the absence of labeled instances. This work proposes an unsupervised learning framework for CO problems on graphs that can provide integral…

Machine Learning · Computer Science 2021-03-09 Nikolaos Karalias , Andreas Loukas

We study a large family of graph covering problems, whose definitions rely on distances, for graphs of bounded cyclomatic number (that is, the minimum number of edges that need to be removed from the graph to destroy all cycles). These…

Discrete Mathematics · Computer Science 2025-09-03 Dibyayan Chakraborty , Florent Foucaud , Anni Hakanen