7 papers · 1 filter
Temporal Path Covers: Dilworth Properties and Parameterized Complexity
Lapo Cioni, Sotiris Kanellopoulos, Edouard Nemery +3
The Temporal Path Cover (TPC) and Temporally Disjoint Path Cover (TDPC) problems were introduced by [Chakraborty, Dailly, Foucaud, Klasing, MFCS '24] as the natural temporal analog…
On the parameterized complexity of Broadcast Independence and Broadcast Packing
Joanne Dumont, Edouard Nemery, Anthony Perez +1
A broadcast on a connected graph is a function f that assigns each vertex v an integer f(v) with 0 <= f(v) <= ecc(v) where ecc(v) denotes the eccentricity of v. A vertex u hears a…
EF(X) Orientations: A Parameterized Complexity Perspective
Sotiris Kanellopoulos, Edouard Nemery, Christos Pergaminelis +2
The concept of fair orientations in graphs was introduced by Christodoulou, Fiat, Koutsoupias, and Sgouritsa in 2023, naturally modeling fair division scenarios in which resources…
Forcing a unique minimum spanning tree and a unique shortest path
Tatsuya Gima, Andreas Grigorjew, Yasuaki Kobayashi +7
A forcing set in a combinatorial problem is a set of elements such that there is a unique solution that contains all the elements in . An anti-forcing set is the symmetric c…
Structural Parameters for Steiner Orientation
Tesshu Hanaka, Michael Lampis, Nikolaos Melissinos +3
We consider the \textsc{Steiner Orientation} problem, where we are given as input a mixed graph and a set of demand pairs , . The goal is to ori…
Broadcasting under Structural Restrictions
Yudai Egami, Tatsuya Gima, Tesshu Hanaka +7
In the Telephone Broadcast problem we are given a graph with a designated source vertex . Our goal is to transmit a message, which is initially known only to ,…
Parameterized Spanning Tree Congestion
Michael Lampis, Valia Mitsou, Edouard Nemery +3
In this paper we study the Spanning Tree Congestion problem, where we are given a graph and are asked to find a spanning tree of minimum maximum congestion. Here, the…