5 papers · 1 filter
Deterministic Single Exponential Time Algorithms for Co-Path Packing and Co-Path Set Parameterized by Treewidth
Yuxi Liu, Kangyi Tian, Mingyu Xiao
The \textsc{Co-Path Packing} (resp., \textsc{Co-Path Set}) problem asks whether a given graph can be edited to a collection of induced paths by deleting at most vertices (resp.…
Linear Kernels for -Exact Component Order Connectivity
Yuxi Liu, Mingyu Xiao
The \textsc{-Exact Component Order Connectivity} problem asks whether, given an input graph and an integer , there exists a vertex subset of size at mos…
Faster Parameterized Vertex Multicut
Huairui Chu, Yuxi Liu, Daniel Lokshtanov +3
In the {\sc Vertex Multicut} problem the input consists of a graph , integer , and a set of pairs of vertices of . The ta…
A Refined Kernel for -Hitting Set
Yuxi Liu, Mingyu Xiao
The -Hitting Set problem is a fundamental problem in parameterized complexity, which asks whether a given hypergraph contains a vertex subset of size at most that inters…
Solving Co-Path/Cycle Packing and Co-Path Packing Faster Than
Yuxi Liu, Mingyu Xiao
The \textsc{Co-Path/Cycle Packing} problem (resp. The \textsc{Co-Path Packing} problem) asks whether we can delete at most vertices from the input graph such that the remaining…