A Short Review on Novel Approaches for Maximum Clique Problem: from Classical algorithms to Graph Neural Networks and Quantum algorithms

R Marino, L Buffoni, B Zavalnij - arXiv preprint arXiv:2403.09742, 2024 - arxiv.org
This manuscript provides a comprehensive review of the Maximum Clique Problem, a
computational problem that involves finding subsets of vertices in a graph that are all …

WeGotYouCovered: The Winning Solver from the PACE 2019 Challenge, Vertex Cover Track∗

D Hespe, S Lamm, C Schulz, D Strash - 2020 proceedings of the SIAM …, 2020 - SIAM
We present the winning solver of the Parameterized Algorithms and Computational
Experiments (PACE) 2019 Challenge, Vertex Cover Track. The minimum vertex cover …

Marine radar monitoring IoT system and case study of target detection based on PPI images

Q Zhang, Y Li, C Guo, S Yin, L Ma, Y Zhu - Expert Systems, 2024 - Wiley Online Library
To ensure the ship navigation safety, it is necessary to detect the targets in the background
of sea clutter around the ship. The most commonly used target detection equipments for ship …

[HTML][HTML] Clique search in graphs of special class and job shop scheduling

S Szabó, B Zaválnij - Mathematics, 2022 - mdpi.com
In this paper, we single out the following particular case of the clique search problem. The
vertices of the given graph are legally colored with k colors and we are looking for a clique …

WeGotYouCovered: the winning solver from the PACE 2019 implementation challenge, vertex cover track

D Hespe, S Lamm, C Schulz, D Strash - arXiv preprint arXiv:1908.06795, 2019 - arxiv.org
We present the winning solver of the PACE 2019 Implementation Challenge, Vertex Cover
Track. The minimum vertex cover problem is one of a handful of problems for which …

Joint user association and fair scheduling for dual connectivity heterogeneous networks

H Cui, Y Du - China Communications, 2023 - ieeexplore.ieee.org
Heterogeneous small cell network is one of the most effective solutions to overcome
spectrum scarcity for the next generation of mobile networks. Dual connectivity (DC) can …

[HTML][HTML] Graph coloring via clique search with symmetry breaking

S Szabó, B Zaválnij - Symmetry, 2022 - mdpi.com
It is known that the problem of proper coloring of the nodes of a given graph can be reduced
to finding cliques in a suitably constructed auxiliary graph. In this work, we explore the …

[PDF][PDF] An improved maximum common induced subgraph solver

M Depolli, S Szabó, B Zaválnij - MATCH Commun. Math. Comput. Chem, 2020 - e6.ijs.si
One of the traditional ways of solving the maximum common induced subgraph problem is
by reduction to a maximum clique problem. The two input graphs, in which the maximum …

[HTML][HTML] Cooperative Transmission Mechanism Based on Revenue Learning for Vehicular Networks

M Chen, H Cui, M Nie, Q Chen, S Yang, Y Du, F Dai - Applied Sciences, 2022 - mdpi.com
With the rapid development of science and technology and the improvement of people's
living standards, vehicles have gradually become the main means of travel. The increase in …

The k-Clique Problem Usage, Modeling Expressivity, Serial and Massively Parallel Algorithms

B Zaválnij - 2020 - search.proquest.com
Our thesis work is focused on discrete optimization problems, and specifically on problems
represented by graphs. These problems emerge in various applications, and form an …