3 papers
cs.DM2024
Generalizing Roberts' characterization of unit interval graphs
Virginia Ardévol Martínez, Romeo Rizzi, Abdallah Saffidine +2
For any natural number , a graph is a (disjoint) -interval graph if it is the intersection graph of (disjoint) -intervals, the union of (disjoint) intervals on the…
math.CO2023
Quasi-kernels in split graphs
Hélène Langlois, Frédéric Meunier, Romeo Rizzi +2
In a digraph, a quasi-kernel is a subset of vertices that is independent and such that the shortest path from every vertex to this subset is of length at most two. The ``small quas…
cs.CC2023
Recognizing unit multiple intervals is hard
Virginia Ardévol Martínez, Romeo Rizzi, Florian Sikora +1
Multiple interval graphs are a well-known generalization of interval graphs introduced in the 1970s to deal with situations arising naturally in scheduling and allocation. A -in…