[HTML][HTML] A survey of parameterized algorithms and the complexity of edge modification

C Crespelle, PG Drange, FV Fomin… - Computer Science Review, 2023 - Elsevier
The survey is a comprehensive overview of the developing area of parameterized
algorithms for graph modification problems. It describes state of the art in kernelization …

Graph theory analysis of the cortical functional network during sleep in patients with depression

Y Song, K Wang, Y Wei, Y Zhu, J Wen, Y Luo - Frontiers in Physiology, 2022 - frontiersin.org
Depression, a common mental illness that seriously affects the psychological health of
patients, is also thought to be associated with abnormal brain functional connectivity. This …

An improved kernelization algorithm for Trivially Perfect Editing

M Dumas, A Perez - arXiv preprint arXiv:2306.16899, 2023 - arxiv.org
In the Trivially Perfect Editing problem one is given an undirected graph $ G=(V, E) $ and an
integer $ k $ and seeks to add or delete at most $ k $ edges in $ G $ to obtain a trivially …

Parameterized Complexity of Biclique Contraction and Balanced Biclique Contraction

R Krithika, VK Malu, R Sharma, P Tale - arXiv preprint arXiv:2307.10607, 2023 - arxiv.org
In this work, we initiate the complexity study of Biclique Contraction and Balanced Biclique
Contraction. In these problems, given as input a graph G and an integer k, the objective is to …

Modification et couverture de graphes: Approches paramétrées

M Dumas - 2023 - theses.hal.science
Cette thèse traite de problèmes de modification d'arêtes et de couverture de graphes par
des plus courts chemins dans le cadre de la complexité paramétrée. Dans un problème de …