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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

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

Artificial Intelligence · Computer Science 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

Human-Robot Collaboration (HRC) has evolved into a highly promising issue owing to the latest breakthroughs in Artificial Intelligence (AI) and Human-Robot Interaction (HRI), among other reasons. This emerging growth increases the need to…

Robotics · Computer Science 2024-10-02 Oscar Gil Viyuela , Alberto Sanfeliu

An upper dominating set in a graph is a minimal (with respect to set inclusion) dominating set of maximum cardinality. The problem of finding an upper dominating set is generally NP-hard. We study the complexity of this problem in classes…

Discrete Mathematics · Computer Science 2016-09-07 Hassan AbouEisha , Shahid Hussain , Vadim Lozin , Jérôme Monnot , Bernard Ries , Viktor Zamaraev

In a graph $G = (V,E)$, a k-ruling set $S$ is one in which all vertices $V$ \ $S$ are at most $k$ distance from $S$. Finding a minimum k-ruling set is intrinsically linked to the minimum dominating set problem and maximal independent set…

Data Structures and Algorithms · Computer Science 2024-09-27 Max Koster

The question to enumerate all inclusion-minimal connected dominating sets in a graph of order $n$ in time significantly less than $2^n$ is an open question that was asked in many places. We answer this question affirmatively, by providing…

Computational Complexity · Computer Science 2022-05-03 Faisal Abu-Khzam , Henning Fernau , Benjamin Gras , Mathieu Liedloff , Kevin Mann

This paper introduces Monte Carlo *-Minimax Search (MCMS), a Monte Carlo search algorithm for turned-based, stochastic, two-player, zero-sum games of perfect information. The algorithm is designed for the class of of densely stochastic…

Computer Science and Game Theory · Computer Science 2013-04-23 Marc Lanctot , Abdallah Saffidine , Joel Veness , Christopher Archibald , Mark H. M. Winands

Given a positive integer $k$, a $k$-dominating set in a graph $G$ is a set of vertices such that every vertex not in the set has at least $k$ neighbors in the set. A total $k$-dominating set, also known as a $k$-tuple total dominating set,…

Data Structures and Algorithms · Computer Science 2018-07-25 Nina Chiarelli , Tatiana Romina Hartinger , Valeria Alejandra Leoni , Maria Inés Lopez Pujato , Martin Milanič

We study the problem of searching for a hidden target in an environment that is modeled by an edge-weighted graph. A sequence of edges is chosen starting from a given root vertex such that each edge is adjacent to a previously chosen edge.…

Optimization and Control · Mathematics 2017-08-02 Spyros Angelopoulos , Christoph Dürr , Thomas Lidbetter

Nowadays hybrid evolutionary algorithms, i.e, heuristic search algorithms combining several mutation operators some of which are meant to implement stochastically a well known technique designed for the specific problem in question while…

Neural and Evolutionary Computing · Computer Science 2014-04-23 Boris Mitavskiy , Jun He

The problem of finding a minimum vertex cover (MVC) in a graph is a well-known NP-hard problem with significant practical applications in optimization and scheduling. Its complexity, combined with the increasing scale of problems,…

Artificial Intelligence · Computer Science 2025-03-11 Enqiang Zhu , Qiqi Bao , Yu Zhang , Chanjuan Liu

The job sequencing and tool switching problem (SSP) has been extensively studied in the field of operations research, due to its practical relevance and methodological interest. Given a machine that can load a limited amount of tools…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Jordana Mecler , Anand Subramanian , Thibaut Vidal

Cuckoo hashing is a powerful primitive that enables storing items using small space with efficient querying. At a high level, cuckoo hashing maps $n$ items into $b$ entries storing at most $\ell$ items such that each item is placed into one…

Cryptography and Security · Computer Science 2023-06-21 Kevin Yeo

The maximum clique (MC) problem is a challenging graph mining problem which, due to its NP-hard nature, can take a substantial amount of execution time. The MC problem is dominated by set intersection operations similar to Maximal Clique…

Data Structures and Algorithms · Computer Science 2025-09-29 Hans Vandierendonck

{\em Partial domination problem} is a generalization of the {\em minimum dominating set problem} on graphs. Here, instead of dominating all the nodes, one asks to dominate at least a fraction of the nodes of the given graph by choosing a…

Computational Geometry · Computer Science 2025-05-23 Madhura Dutta , Anil Maheshwari , Subhas C. Nandy , Bodhayan Roy

We prove that given any $\alpha$-approximation LOCAL algorithm for Minimum Dominating Set (MDS) on planar graphs, we can construct an $f(g)$-round $(3\alpha+1)$-approximation LOCAL algorithm for MDS on graphs embeddable in a given Euler…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-20 Marthe Bonamy , Avinandan Das , Cyril Gavoille , Timothé Picavet , Jukka Suomela , Alexandra Wesolek

Set synchronization is a fundamental task in distributed applications and implementations. Existing methods that synchronize simple sets are mainly based on compact data structures such as Bloom filter and its variants. However, these…

Data Structures and Algorithms · Computer Science 2020-03-10 Shangsen Li , Lailong Luo , Deke Guo

Minimum connected dominating set problem is an NP-hard combinatorial optimization problem in graph theory. Finding connected dominating set is of high interest in various domains such as wireless sensor networks, optical networks, and…

Artificial Intelligence · Computer Science 2024-05-28 Hayet Dahmri , Salim Bouamama

Metaheuristic search methods have proven to be essential tools for tackling complex optimization challenges, but their full potential is often constrained by conventional algorithmic frameworks. In this paper, we introduce a novel approach…

Artificial Intelligence · Computer Science 2024-10-23 Abdel-Rahman Hedar , Alaa E. Abdel-Hakim , Wael Deabes , Youseef Alotaibi , Kheir Eddine Bouazza
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