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math.CO2026
Asymmetric Homomorphism Thresholds for Graphs of Large Odd Girth
Romain Bourneuf, Raphael Steiner, Stéphan Thomassé +1
We determine the asymmetric homomorphism threshold from graphs of odd girth at least to triangle-free graphs, showing that .…
cs.DM2026
Ramsey Obstructions to Disambiguation
Romain Bourneuf, Antonin Kiladjian, Stéphan Thomassé
A partial matrix has entries in , and a disambiguation replaces each by or . We construct partial matrices whose fully specified submatrices satisfy s…
cs.DS2026
A combinatorial framework for clustering graph states: Algorithms and hardness for rank-integrity
Romain Bourneuf, Nathan Claudet, Sang Yoon Kim +3
We introduce a new notion of distance between two graph states and on the same set of qubits. This distance is the minimum number of ancilla qubits in a gr…