Advances in Parameterized Complexity: Theory, Algorithms, and Applications

A special issue of Algorithms (ISSN 1999-4893). This special issue belongs to the section "Analysis of Algorithms and Complexity Theory".

Deadline for manuscript submissions: 30 September 2026 | Viewed by 516

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Department of Computer Science, University of Salerno, 84084 Fisciano, Salerno, Italy
Interests: design and analysis of algorithms; network algorithms; social network analysis; parameterized algorithms and complexity; combinatorial structures
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Special Issue Information

Dear Colleagues,

In recent years, parameterized complexity has advanced significantly. It has been employed in diverse domains such as algorithmic graph theory, algorithmic game theory, computational social choice, bioinformatics, machine learning, multiagent systems, planning and scheduling and big data science.

However, there is still a long way to go. Therefore, this Special Issue welcomes contributions that strengthen the connection between parameterized algorithms and practical applications, and aims to promote novel theoretical insights through this exchange of knowledge. In addition, we aim to outline opportunities for future research in parameterized complexity at the intersection of diverse disciplines and present new or enhanced results regarding the parameterized complexity of combinatorial problems, novel algorithmic methods or paradigms within parameterized complexity, and surveys highlighting recent progress and applications in these fields.

Dr. Adele Anna Rescigno
Guest Editor

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • algorithm design and analysis
  • parameterized algorithms and their applications
  • exact exponential-time algorithm
  • fixed-parameter tractability
  • kernelization results
  • parameterized complexity theory
  • parameterized approximability and inapproximability

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Published Papers (1 paper)

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Research

16 pages, 9744 KB  
Article
A Spatial Alignment Problem
by Armin R. Mikler, Chetan Tiwari and Murray Patterson
Algorithms 2026, 19(6), 475; https://doi.org/10.3390/a19060475 - 11 Jun 2026
Viewed by 147
Abstract
This work concerns the harmonization of geospatial data to improve linkages between place-based characteristics and health outcomes. Such data are typically available as geographic layers, each representing a distinct attribute (e.g., income or distance to a clinic). Since layers are typically constructed independently, [...] Read more.
This work concerns the harmonization of geospatial data to improve linkages between place-based characteristics and health outcomes. Such data are typically available as geographic layers, each representing a distinct attribute (e.g., income or distance to a clinic). Since layers are typically constructed independently, their boundaries tend to be spatially incongruent, which can create inconsistencies and introduce bias. This motivates developing algorithmic approaches for aligning such layers while aiming to preserve spatial integrity. This paper formalizes the problem of aligning k collections of m spatial supports over n spatial units in a d-dimensional Euclidean space such that maximum distortion to any collection is minimized. In the above setting, k is the number of layers; n is an indivisible population unit (e.g., census tract); m denotes supports, which are larger regions aggregating a set of contiguous units in order to capture broader regional patterns or enhance statistical stability; and d=2. It is shown that: (1) the one-dimensional case is solvable in time polynomial in k, m, and n; (2) the two-dimensional case is NP-hard for two collections of two supports each; and (3) a heuristic can be provided for aligning a set of collections in the two-dimensional case, which is of practical importance. Full article
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