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Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

Logic in Computer Science · Computer Science 2021-11-17 Lorenzo Capra

Time-Basic Petri nets, is a powerful formalism for model- ing real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2014-09-10 Matteo Camilli

We continue and extend previous work on the parameterized complexity analysis of the NP-hard Stable Roommates with Ties and Incomplete Lists problem, thereby strengthening earlier results both on the side of parameterized hardness as well…

Computational Complexity · Computer Science 2021-03-09 Robert Bredereck , Klaus Heeger , Dušan Knop , Rolf Niedermeier

This work presents a dual system-level parameterization (D-SLP) method for closed-loop system identification. The recent system-level synthesis framework parameterizes all stabilizing controllers via linear constraints on closed-loop…

Optimization and Control · Mathematics 2023-04-06 Amber Srivastava , Mingzhou Yin , Andrea Iannelli , Roy S. Smith

We identify and demonstrate a weakness of Petri Nets (PN) in specifying composite behavior of reactive systems. Specifically, we show how, when specifying multiple requirements in one PN model, modelers are obliged to specify mechanisms for…

Software Engineering · Computer Science 2023-04-20 Achiya Elyasaf , Tom Yaacov , Gera Weiss

We study the parameterized complexity of the directed variant of the classical {\sc Steiner Tree} problem on various classes of directed sparse graphs. While the parameterized complexity of {\sc Steiner Tree} parameterized by the number of…

Data Structures and Algorithms · Computer Science 2012-10-02 Mark Jones , Daniel Lokshtanov , M. S. Ramanujan , Saket Saurabh , Ondřej Suchý

Automated synthesis from behavioural specifications is an attractive and powerful way of constructing concurrent systems. Here we focus on the problem of synthesising a membrane system from a behavioural specification given in the form of a…

Logic in Computer Science · Computer Science 2012-11-20 Jetty Kleijn , Maciej Koutny , Marta Pietkiewicz-Koutny , Grzegorz Rozenberg

Time-Basic Petri nets, is a powerful formalism for modeling real-time systems where time constraints are expressed through time functions of marking's time description associated with transition, representing possible firing times. We…

Logic in Computer Science · Computer Science 2021-03-15 Matteo Camilli

In areas such as computer software and hardware, manufacturing systems, and transportation, engineers encounter networks with arbitrarily large numbers of isomorphic subprocesses. Parameterized systems provide a framework for modeling such…

Formal Languages and Automata Theory · Computer Science 2016-10-03 M. H. Zibaeenejad , J. G. Thistle

A Petri net is choice-free if any place has at most one transition in its postset (consuming its tokens) and it is (extended) free-choice (EFC) if the postsets of any two places are either equal or disjoint. Asymmetric choice (AC) extends…

Formal Languages and Automata Theory · Computer Science 2019-11-25 Harro Wimmel

Cognitive Radio Networks (CRNs) are considered as a promising solution to the spectrum shortage problem in wireless communication. In this paper, we initiate the first systematic study on the algorithmic complexity of the connectivity…

Data Structures and Algorithms · Computer Science 2013-01-08 Hongyu Liang , Tiancheng Lou , Haisheng Tan , Yuexuan Wang , Dongxiao Yu

Parameterized complexity seeks to use input structure to obtain faster algorithms for NP-hard problems. This has been most successful for graphs of low treewidth: Many problems admit fast algorithms relative to treewidth and many of them…

Computational Complexity · Computer Science 2022-12-20 Falko Hegerfeld , Stefan Kratsch

We consider parameterized verification problems for networks of timed automata (TAs) based on different communication primitives. To this end, we first consider disjunctive timed networks (DTNs), i.e., networks of TAs that communicate via…

Formal Languages and Automata Theory · Computer Science 2025-10-13 Étienne André , Swen Jacobs , Shyam Lal Karra , Ocan Sankur

We consider the well-studied problem of finding a spanning tree with minimum average distance between vertex pairs (called a MAD tree). This is a classic network design problem which is known to be NP-hard. While approximation algorithms…

Data Structures and Algorithms · Computer Science 2026-04-01 Tom-Lukas Breitkopf , Vincent Froese , Anton Herrmann , André Nichterlein , Camille Richer

We consider a renewal process \tau={\tau_0,\tau_1,...} on the integers, where the law of \tau_i-\tau_{i-1} has a power-like tail P(\tau_i-\tau_{i-1}=n)=n^{-(\alpha+1)}L(n) with \alpha\ge0 and L(.) slowly varying. We then assign a random,…

Mathematical Physics · Physics 2008-04-28 Fabio Lucio Toninelli

The relationship between the properties of a dynamical system and the structure of its defining equations has long been studied in many contexts. Here we study this problem for the class of conjunctive (resp. disjunctive) Boolean networks,…

Combinatorics · Mathematics 2008-05-13 Abdul Salam Jarrah , Reinhard Laubenbacher , Alan Veliz-Cuba

This paper focuses on proposing a general control framework for large-scale Boolean networks (\texttt{BNs}). Only by the network structure, the concept of structural controllability for \texttt{BNs} is formalized. A necessary and sufficient…

Systems and Control · Electrical Eng. & Systems 2021-05-27 Shiyong Zhu , Jianquan Lu , Shun-ichi Azuma , Wei Xing Zheng

In this paper, we study the Eulerian Strong Component Arc Deletion problem, where the input is a directed multigraph and the goal is to delete the minimum number of arcs to ensure every strongly connected component of the resulting digraph…

Data Structures and Algorithms · Computer Science 2025-07-04 Václav Blažej , Satyabrata Jana , M. S. Ramanujan , Peter Strulo

We investigate the parameterized complexity of Binary CSP parameterized by the vertex cover number and the treedepth of the constraint graph, as well as by a selection of related modulator-based parameters. The main findings are as follows:…

Discrete Mathematics · Computer Science 2023-09-22 Hans L. Bodlaender , Carla Groenland , Michał Pilipczuk

The NP-complete graph problem Cluster Editing seeks to transform a static graph into a disjoint union of cliques by making the fewest possible edits to the edges. We introduce a natural interpretation of this problem in temporal graphs,…

Discrete Mathematics · Computer Science 2026-02-19 Cristiano Bocci , Chiara Capresi , Kitty Meeks , John Sylvester
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