Titlebook: ;

枕垫

Modern Latin America Since 1800s of the graph, such that their deletion results in a graph not containing a path on . vertices as a subgraph. We develop a fully automated framework to generate parameterized branching algorithms for the problem and obtain algorithms outperforming those previously known for ., e.g., we show that 5-PVC can be solved in . time.

粗鄙的人

责怪

,Deciding the Erdős-Pósa Property in 3-Connected Digraphs,is the minor of some grid, not all planar digraphs are butterfly minors of a cylindrical grid. In this work, we characterize the planar digraphs that have a butterfly model in a cylindrical grid. In particular, this leads to a linear-time algorithm that decides whether a weakly 3-connected strong digraph has the EP property.

无畏

,Nonplanar Graph Drawings with , Vertices per Face,he boundary of the external face, then .-real face and .-real face graphs have at most . and . edges, respectively. We also study relationships between .-real face graphs and beyond-planar graph families with hereditary property.