We give an algorithm that, given an-vertex graph and an integer, in time either outputs a tree
decomposition of of width at most or determines that the treewidth of is larger than. This is …

Graph theory, a fundamental branch of mathematics, centers on the study of networks
composed of vertices (nodes) and edges, examining their paths, structures, and properties …

Graph characteristics are often analyzed using various parameters, with ongoing research
dedicated to exploring these aspects. A key metric in this field is the” graph width …

For a tree decomposition $\mathcal {T} $ of a graph $ G $, by $\mu (\mathcal {T}) $ we
denote the size of a largest induced matching in $ G $ all of whose edges intersect one bag …

We present a data structure that for a dynamic graph G that is updated by edge insertions
and deletions, maintains a tree decomposition of G of width at most 6k+5 under the promise …

Abstract In the Multiagent Path Finding (MAPF for short) problem, we focus on efficiently
finding non-colliding paths for a set of k agents on a given graph G, where each agent seeks …

The notion of ℋ-treewidth, where ℋ is a hereditary graph class, was recently introduced as a
generalization of the treewidth of an undirected graph. Roughly speaking, a graph of ℋ …

Answer Set Programming (ASP) is a generic problem modeling and solving framework with
a strong focus on knowledge representation and a rapid growth of industrial applications. So …

We give an algorithm that given a graph G with n vertices and m edges and an integer k, in
time O k (n 1+ o (1))+ O (m) either outputs a rank decomposition of G of width at most k or …

On a Spectral Lower Bound of Treewidth Page 1 328 IEICE TRANS. INF. & SYST., VOL.E107–D,
NO.3 MARCH 2024 LETTER Special Section on Foundations of Computer Science …