Parameterized algorithms for block-structured integer programs with large entries

J Cslovjecsek, M Koutecký, A Lassota, M Pilipczuk… - Proceedings of the 2024 …, 2024 - SIAM
We study two classic variants of block-structured integer programming. Two-stage stochastic
programs are integer programs of the form {A ix+ D iyi= bi for all i= 1,…, n}, where Ai and Di …

The double exponential runtime is tight for 2-stage stochastic ILPs

K Jansen, KM Klein, A Lassota - Mathematical Programming, 2023 - Springer
We consider fundamental algorithmic number theoretic problems and their relation to a class
of block structured Integer Linear Programs (ILPs) called 2-stage stochastic. A 2-stage …

Maximizing social welfare in score-based social distance games

R Ganian, T Hamm, D Knop, S Roy… - arXiv preprint arXiv …, 2023 - arxiv.org
Social distance games have been extensively studied as a coalition formation model where
the utilities of agents in each coalition were captured using a utility function $ u $ that took …

The complexity of election problems with group-separable preferences

P Faliszewski, A Karpov, S Obraztsova - Autonomous Agents and Multi …, 2022 - Springer
We analyze the complexity of several NP-hard election-related problems under the
assumptions that the voters have group-separable preferences. We show that under this …

Composite analysis of web pages in adaptive environment through Modified Salp Swarm algorithm to rank the web pages

E Manohar, E Anandha Banu… - Journal of Ambient …, 2022 - Springer
The web ranking is an essential information to measure the quality of service of a web page.
The dynamic changes in the web information need an efficient framework to rank the web …

Faster algorithms for sparse ilp and hypergraph multi-packing/multi-cover problems

D Gribanov, I Shumilov, D Malyshev… - Journal of Global …, 2024 - Springer
In our paper, we consider the following general problems: check feasibility, count the
number of feasible solutions, find an optimal solution, and count the number of optimal …

A faster algorithm for counting the integer points number in -modular polyhedra (corrected version)

DV Gribanov, DS Malyshev - arXiv preprint arXiv:2110.01732, 2021 - arxiv.org
Let a polytope $ P $ be defined by a system $ A x\leq b $. We consider the problem of
counting the number of integer points inside $ P $, assuming that $ P $ is $\Delta $-modular …

Parameterized complexity for iterated type partitions and modular-width

G Cordasco, L Gargano, AA Rescigno - Discrete Applied Mathematics, 2024 - Elsevier
This paper deals with the complexity of some natural graph problems parameterized by
some measures that are restrictions of clique-width, such as modular-width and …

Spanning trees with few branch vertices in graphs of bounded neighborhood diversity

L Gargano, AA Rescigno - International Colloquium on Structural …, 2023 - Springer
A branch vertex in a tree is a vertex of degree at least three. We study the NP-hard problem
of constructing spanning trees with as few branch vertices as possible. This problem …

FPT Algorithms using Minimal Parameters for a Generalized Version of Maximin Shares

K Jansen, A Lassota, M Tutas, A Vetta - arXiv preprint arXiv:2409.04225, 2024 - arxiv.org
We study the computational complexity of fairly allocating indivisible, mixed-manna items.
For basic measures of fairness, this problem is hard in general. Thus, research has …