6 papers
Maximum Weight Independent Set in Hereditary Classes of Ordered Graphs
PaweÅ RafaÅ BieliÅski, Marta Piecyk, PaweÅ RzÄ Å¼ewski
The complexity of classical computational problems in graph classes defined by forbidding induced subgraphs is one of the central topics of algorithmic graph theory. Recently, ther…
On the complexity of edge subdivision to -free graphs
Marta Piecyk, R. B. Sandeep
Subdividing an edge in a graph replaces it by a path with one new vertex. For a graph , the \textsc{-free Subdivision} problem asks whether, given a graph an…
List coloring ordered graphs with forbidden induced subgraphs
Marta Piecyk, PaweÅ RzÄ Å¼ewski
In the List -Coloring problem we are given a graph whose every vertex is equipped with a list, which is a subset of . We need to decide if admits a proper co…
On Approximate MMS Allocations on Restricted Graph Classes
Václav Blažej, MichaÅ DÄbski, Zbigniew Lonc +2
We study the problem of fair division of a set of indivisible goods with connectivity constraints. Specifically, we assume that the goods are represented as vertices of a connected…
Kernelization for list -coloring for graphs with small vertex cover
Marta Piecyk, Astrid Pieterse, PaweÅ RzÄ Å¼ewski +1
For a fixed graph , in the List -Coloring problem, we are given a graph along with list for every , and we have to determine if there ex…
-coloring of bounded-diameter graphs
Marta Piecyk
For a fixed graph , in the graph homomorphism problem, denoted by , we are given a graph and we have to determine whether there exists an edge-preserving mapping $Ï…