5 papers
On the Parameterized Complexity Of Grid Contraction
Saket Saurabh, Uéverton dos Santos Souza, Prafullkumar Tale
For a family of graphs , the -\textsc{Contraction} problem takes as an input a graph and an integer , and the goal is to decide if there exists $F…
Computing the Largest Bond and the Maximum Connected Cut of a Graph
Gabriel L. Duarte, Hiroshi Eto, Tesshu Hanaka +6
The cut-set of a graph is the set of edges that have one endpoint in and the other endpoint in , and whenever is connected…
Width Parameterizations for Knot-free Vertex Deletion on Digraphs
Stéphane Bessy, Marin Bougeret, Alan D. A. Carneiro +2
A knot in a directed graph is a strongly connected subgraph of with at least two vertices, such that no vertex in is an in-neighbor of a vertex in $V(G)\setminus…
Computing the largest bond of a graph
Gabriel L. Duarte, Daniel Lokshtanov, Lehilton L. C. Pedrosa +2
A bond of a graph is an inclusion-wise minimal disconnecting set of , i.e., bonds are cut-sets that determine cuts of such that and $G[V\setmin…
Graphs in which some and every maximum matching is uniquely restricted
Lucia Draque Penso, Dieter Rautenbach, Ueverton dos Santos Souza
A matching in a graph is uniquely restricted if there is no matching in that is distinct from but covers the same vertices as . Solving a problem posed by G…