4 papers
Robust Algorithms for Path and Cycle Problems in Geometric Intersection Graphs
Malory Marin, Jean-Florent Raymond, Rémi Watrigant
We study the design of robust subexponential algorithms for classical connectivity problems on intersection graphs of similarly sized fat objects in . In this setting…
Subcoloring of (Unit) Disk Graphs
Malory Marin, Rémi Watrigant
A subcoloring of a graph is a partition of its vertex set into subsets (called colors), each inducing a disjoint union of cliques. It is a natural generalization of the classical p…
Identifying hard native instances for the maximum independent set problem on neutral atoms quantum processors
Pierre Cazals, Aymeric François, Loïc Henriet +9
The Maximum Independent Set (MIS) problem is a fundamental combinatorial optimization task that can be naturally mapped onto the Ising Hamiltonian of neutral atom quantum processor…
A structural description of Zykov and Blanche Descartes graphs
Malory Marin, Stéphan Thomassé, Nicolas Trotignon +1
In 1949, Zykov proposed the first explicit construction of triangle-free graphs with arbitrarily large chromatic number. We define a Zykov graph as any induced subgraph of a graph…