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In the classic Maximum Weight Independent Set problem we are given a graph $G$ with a nonnegative weight function on vertices, and the goal is to find an independent set in $G$ of maximum possible weight. While the problem is NP-hard in…

Data Structures and Algorithms · Computer Science 2020-03-24 Andrzej Grzesik , Tereza Klimošová , Marcin Pilipczuk , Michał Pilipczuk

This paper studies an open question in the warehouse problem where a merchant trading a commodity tries to find an optimal inventory-trading policy to decide on purchase and sale quantities during a fixed time horizon in order to maximize…

Data Structures and Algorithms · Computer Science 2023-02-24 Ishan Bansal , Oktay Günlük

For an arbitrary undirected simple graph G with m edges, we give an algorithm with running time O(m^4 |L|^2) to generate the set L of all minimal edge dominating sets of G. For bipartite graphs we obtain a better result; we show that their…

Data Structures and Algorithms · Computer Science 2012-10-24 Petr A. Golovach , Pinar Heggernes , Dieter Kratsch , Yngve Villanger

Dey and Xin (J.Appl.Comput.Top., 2022, arXiv:1904.03766) describe an algorithm to decompose finitely presented multiparameter persistence modules using a matrix reduction algorithm. Their algorithm only works for modules whose generators…

Representation Theory · Mathematics 2025-11-25 Tamal K. Dey , Jan Jendrysiak , Michael Kerber

We show that one can approximate the least fixed point solution for a multivariate system of monotone probabilistic polynomial equations in time polynomial in both the encoding size of the system of equations and in log(1/\epsilon), where…

Computational Complexity · Computer Science 2013-02-21 Kousha Etessami , Alistair Stewart , Mihalis Yannakakis

We describe an algorithm for proving termination of programs abstracted to systems of monotonicity constraints in the integer domain. Monotonicity constraints are a non-trivial extension of the well-known size-change termination method.…

Logic in Computer Science · Computer Science 2011-08-01 Michael Codish , Igor Gonopolskiy , Amir M. Ben-Amram , Carsten Fuhs , Jürgen Giesl

We consider a wireless network with a set of transmitter-receiver pairs, or links, that share a common channel, and address the problem of emptying finite traffic volume from the transmitters in minimum time. This, so called, minimum-time…

Networking and Internet Architecture · Computer Science 2016-11-18 Qing He , Vangelis Angelakis , Anthony Ephremides , Di Yuan

We consider a minimal controllability problem (MCP), which determines the minimum number of input nodes for a descriptor system to be structurally controllable. We investigate the "forbidden nodes" in descriptor systems, denoting nodes that…

Optimization and Control · Mathematics 2023-04-12 Shun Terasaki , Kazuhiro Sato

In this paper we address the problem of designing an interruptible system in a setting in which $n$ problem instances, all equally important, must be solved concurrently. The system involves scheduling executions of contract algorithms…

Data Structures and Algorithms · Computer Science 2018-10-29 Spyros Angelopoulos , Alejandro Lopez-Ortiz

This paper provides the first finite-dimensional characterization for the complete set of full-block, circle criterion multipliers. We consider the interconnection of a discrete-time, linear time-invariant system in feedback with a…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Felix Biertümpfel , Bin Hu , Geir Dullerud , Peter Seiler

Arrays are ubiquitous in the context of software verification. However, effective reasoning over arrays is still rare in CP, as local reasoning is dramatically ill-conditioned for constraints over arrays. In this paper, we propose an…

Logic in Computer Science · Computer Science 2013-12-03 Sébastien Bardin , Arnaud Gotlieb

We show that there is no subexponential time algorithm for computing the exact solution of the maximum independent set problem in d-regular graphs unless ETH fails. We expand our method to show that it helps to provide lower bounds for…

Computational Complexity · Computer Science 2021-03-25 Saeed Akhoondian Amiri

This article establishes the existence of Lyapunov functions for analyzing the stability of a class of state-constrained systems, and it describes algorithms for their numerical computation. The system model consists of a differential…

Optimization and Control · Mathematics 2021-04-14 Marianne Souaiby , Aneel Tanwani , Didier Henrion

We connect the study of pseudodeterministic algorithms to two major open problems about the structural complexity of $\mathsf{BPTIME}$: proving hierarchy theorems and showing the existence of complete problems. Our main contributions can be…

Computational Complexity · Computer Science 2021-03-16 Zhenjian Lu , Igor C. Oliveira , Rahul Santhanam

Let $\MP_d$ denote the space of polynomials $f: \C \to \C$ of degree $d\geq 2$, modulo conjugation by $\Aut(\C)$. Using properties of polynomial trees (as introduced in [DM, math.DS/0608759]), we show that if $f_n$ is a divergent sequence…

Dynamical Systems · Mathematics 2007-05-23 Laura DeMarco

It is a well known fact that finite time optimal controllers, such as MPC does not necessarily result in closed loop stable systems. Within the MPC community it is common practice to add a final state constraint and/or a final state penalty…

Optimization and Control · Mathematics 2016-04-05 Daniel Simon , Johan Löfberg

Motivated by the problem of enumerating all tree decompositions of a graph, we consider in this article the problem of listing all the minimal chordal completions of a graph. In \cite{carmeli2020} (\textsc{Pods 2017}) Carmeli \emph{et al.}…

Data Structures and Algorithms · Computer Science 2021-07-14 Caroline Brosse , Vincent Limouzy , Arnaud Mary

The performance of iterative decoding techniques for linear block codes correcting erasures depends very much on the sizes of the stopping sets associated with the underlying Tanner graph, or, equivalently, the parity-check matrix…

Information Theory · Computer Science 2007-07-13 Jos H. Weber , Khaled A. S. Abdel-Ghaffar

Bounded context switching (BCS) is an under-approximate method for finding violations to safety properties in shared memory concurrent programs. Technically, BCS is a reachability problem that is known to be NP-complete. Our contribution is…

Formal Languages and Automata Theory · Computer Science 2017-04-25 Peter Chini , Jonathan Kolberg , Andreas Krebs , Roland Meyer , Prakash Saivasan

This paper presents an algorithmic study of a class of covering mixed-integer linear programming problems which encompasses classic cover problems, including multidimensional knapsack, facility location and supplier selection problems. We…

Data Structures and Algorithms · Computer Science 2026-02-12 Kobe Grobben , Phablo F. S. Moura , Hande Yaman