collaborators

7 papers

cs.DS2025

Precoloring extension with demands on paths

Arun Kumar Das, Michal Opler, Tomáš Valla

Let be a graph with a set of precolored vertices, and let us be given an integer distance parameter and a set of integer demands . The Distance Precoloring E…

cs.DS2025

Pathfinding in Self-Deleting Graphs

Michal Dvořák, Dušan Knop, Michal Opler +3

In this paper, we study the problem of pathfinding on traversal-dependent graphs, i.e., graphs whose edges change depending on the previously visited vertices. In particular, we st…

math.CO2025

Density of Traceable Graphs

Michal Dvořák, Dušan Knop, Michal Opler +3

We establish tight lower and upper bounds on the number of edges in traceable graphs in several classes of dense graphs. A graph is traceable if it has a Hamiltonian path. We show…

cs.MA2025

When Agents Break Down in Multiagent Path Finding

Foivos Fioravantes, Dušan Knop, Nikolaos Melissinos +1

In Multiagent Path Finding (MAPF), the goal is to compute efficient, collision-free paths for multiple agents navigating a network from their sources to targets, minimizing the sch…

cs.CC2025

Solving Multiagent Path Finding on Highly Centralized Networks

Foivos Fioravantes, Dušan Knop, Jan Matyáš Křišťan +3

The Mutliagent Path Finding (MAPF) problem consists of identifying the trajectories that a set of agents should follow inside a given network in order to reach their desired destin…

cs.CC2025

Exact Algorithms for Multiagent Path Finding with Communication Constraints on Tree-Like Structures

Foivos Fioravantes, Dušan Knop, Jan Matyáš Křišťan +2

Consider the scenario where multiple agents have to move in an optimal way through a network, each one towards their ending position while avoiding collisions. By optimal, we mean…