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Combinatorial interaction testing (CIT) is a useful testing technique to address the interaction of input parameters in software systems. In many applications, the technique has been used as a systematic sampling technique to sample the…

Software Engineering · Computer Science 2019-07-23 Bestoun S. Ahmed , Angelo Gargantini , Kamal Z. Zamli , Cemal Yilmaz , Miroslav Bures , Marek Szeles

We build on a recently proposed method for explaining solutions of constraint satisfaction problems. An explanation here is a sequence of simple inference steps, where the simplicity of an inference step is measured by the number and types…

Artificial Intelligence · Computer Science 2021-07-06 Emilio Gamba , Bart Bogaerts , Tias Guns

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

Data Structures and Algorithms · Computer Science 2025-08-05 Garret Castro

The problem of finding network codes for general connections is inherently difficult in capacity constrained networks. Resource minimization for general connections with network coding is further complicated. Existing methods for…

Information Theory · Computer Science 2016-07-05 Ying Cui , Muriel Médard , Fan Lai , Edmund Yeh , Douglas Leith , Ken Duffy , Dhaivat Pandya

This paper proposes a novel column generation framework for combinatorial software testing. In particular, it combines Mathematical Programming and Constraint Programming in a hybrid decomposition to generate covering arrays. The approach…

Artificial Intelligence · Computer Science 2017-12-20 Serdar Kadioglu

The coalition structure formation problem represents an active research area in multi-agent systems. A coalition structure is defined as a partition of the agents involved in a system into disjoint coalitions. The problem of finding the…

Artificial Intelligence · Computer Science 2010-04-19 Nicola Di Mauro , Teresa M. A. Basile , Stefano Ferilli , Floriana Esposito

This paper proposes a technique to help choose the best formal specification candidate among a set of alternatives. Given a set of specifications, our technique generates a suite of test cases that, once classified by the user as desirable…

Software Engineering · Computer Science 2025-11-25 Alcino Cunha , Nuno Macedo

As Software Product Lines (SPLs) are becoming a more pervasive development practice, their effective testing is becoming a more important concern. In the past few years many SPL testing approaches have been proposed, among them, are those…

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

While research in robust optimization has attracted considerable interest over the last decades, its algorithmic development has been hindered by several factors. One of them is a missing set of benchmark instances that make algorithm…

Optimization and Control · Mathematics 2019-02-11 Marc Goerigk , Stephen J. Maher

To solve the combinatorial optimization problems especially the minimal Vertex-cover problem with high efficiency, is a significant task in theoretical computer science and many other subjects. Aiming at detecting the solution space of…

Mathematical Physics · Physics 2014-12-18 Wei Wei , Renquan Zhang , Binghui Guo , Zhiming Zheng

We show that several important resource allocation problems in wireless networks fit within the common framework of Constraint Satisfaction Problems (CSPs). Inspired by the requirements of these applications, where variables are located at…

Artificial Intelligence · Computer Science 2013-09-19 K. R. Duffy , C. Bordenave , D. J. Leith

We generalize the polynomial-time solvability of $k$-\textsc{Diverse Minimum s-t Cuts} (De Berg et al., ISAAC'23) to a wider class of combinatorial problems whose solution sets have a distributive lattice structure. We identify three…

Data Structures and Algorithms · Computer Science 2025-04-04 Mark de Berg , Andrés López Martínez , Frits Spieksma

The Generalized Traveling Salesman Problem (GTSP) is a well-known combinatorial optimization problem with a host of applications. It is an extension of the Traveling Salesman Problem (TSP) where the set of cities is partitioned into…

Data Structures and Algorithms · Computer Science 2012-02-15 Daniel Karapetyan , Gregory Gutin

Optimal sensor placement (SP) usually minimizes an impact measure, such as the amount of contaminated water or the number of inhabitants affected before detection. The common choice is to minimize the minimum detection time (MDT) averaged…

Signal Processing · Electrical Eng. & Systems 2021-03-09 Antonio Candelieri , Andrea Ponti , Francesco Archetti

Finding inclusion-minimal "hitting sets" for a given collection of sets is a fundamental combinatorial problem with applications in domains as diverse as Boolean algebra, computational biology, and data mining. Much of the algorithmic…

Data Structures and Algorithms · Computer Science 2016-01-13 Andrew Gainer-Dewar , Paola Vera-Licona

In this paper, we give a simple polynomial-time reduction of {L(p)-Labeling} on graphs with a small diameter to {Metric (Path) TSP}, which enables us to use numerous results on {(Metric) TSP}. On the practical side, we can utilize various…

Data Structures and Algorithms · Computer Science 2023-03-03 Tesshu Hanaka , Hirotaka Ono , Kosuke Sugiyama

In network tomography, one goal is to identify a small set of failed links in a network, by sending a few packets through the network and seeing which reach their destination. This problem can be seen as a variant of combinatorial group…

Information Theory · Computer Science 2018-09-12 Bruce Spang , Mary Wootters

Generating paired sequences with maximal compatibility from a given set is one of the most important challenges in various applications, including information and communication technologies. However, the number of possible pairings explodes…

Data Structures and Algorithms · Computer Science 2022-05-10 Naoki Fujita , Nicolas Chauvet , Andre Roehm , Ryoichi Horisaki , Aohan Li , Mikio Hasegawa , Makoto Naruse

We introduce multiple symmetric LP relaxations for minimum cut problems. The relaxations give optimal and approximate solutions when the input is a Hamiltonian cycle. We show that this leads to one of two interesting results. In one case,…

Data Structures and Algorithms · Computer Science 2020-05-26 Robert D. Carr , Jennifer Iglesias , Giuseppe Lanciac , Benjamin Moseley