7 citations · 23 across the 17 of their papers we have counts for
9 papers · 1 filter
Computational complexity of covering regular trees
Jan Bok, Jiří Fiala, Nikola Jedličková +1
A graph covering projection, also referred to as a locally bijective homomorphism, is a mapping between the vertices and edges of two graphs that preserves incidences and is a loca…
Computational Complexity of Covering Colored Mixed Multigraphs with Simple Degree Partitions
Jan Bok, Jiří Fiala, Nikola Jedličková +2
The notion of graph covers (also referred to as locally bijective homomorphisms) plays an important role in topological graph theory and has found its computer science applications…
Hamiltonian path and Hamiltonian cycle are solvable in polynomial time in graphs of bounded independence number
Nikola Jedličková, Jan Kratochvíl
A Hamiltonian path (a Hamiltonian cycle) in a graph is a path (a cycle, respectively) that traverses all of its vertices. The problems of deciding their existence in an input graph…
Computational Complexity of Covering Disconnected Multigraphs
Jan Bok, Jiří Fiala, Nikola Jedličková +2
The notion of graph covers is a discretization of covering spaces introduced and deeply studied in topology. In discrete mathematics and theoretical computer science, they have att…
List homomorphisms to separable signed graphs
Jan Bok, Richard Brewster, Tomás Feder +2
The complexity of the list homomorphism problem for signed graphs appears difficult to classify. Existing results focus on special classes of signed graphs, such as trees and refle…
List covering of regular multigraphs with semi-edges
Jan Bok, Jiří Fiala, Nikola Jedličková +2
In line with the recent development in topological graph theory, we are considering undirected graphs that are allowed to contain {\em multiple edges}, {\em loops}, and {\em semi-e…
Computational Complexity of Covering Two-vertex Multigraphs with Semi-edges
Jan Bok, Jiří Fiala, Petr Hliněný +2
We initiate the study of computational complexity of graph coverings, aka locally bijective graph homomorphisms, for {\em graphs with semi-edges}. The notion of graph covering is a…
Acyclic, Star and Injective Colouring: A Complexity Picture for H-Free Graphs
Jan Bok, Nikola Jedlickova, Barnaby Martin +3
A (proper) colouring is acyclic, star, or injective if any two colour classes induce a forest, star forest or disjoint union of vertices and edges, respectively. Hence, every injec…
A note on simultaneous representation problem for interval and circular-arc graphs
Jan Bok, Nikola Jedličková
In this short note, we show two NP-completeness results regarding the \emph{simultaneous representation problem}, introduced by Lubiw and Jampani. The simultaneous representation p…