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math.CO2026
Trees and Graphs with Non Log-concave Dominating Set Sequence via AI Tools
Alina Du, Steven Heilman, Greta Panova
We give new examples of graphs and trees with dominating set sequences that are not log-concave. These examples were generated by PatternBoost, a transformer-based reinforcement le…
math.CO2026
Independent Sets and Continued Fractions
Swee Hong Chan, Steven Heilman, Greta Panova
Linek's 1989 problem asks whether the numbers of independent sets of trees avoid infinitely many positive integers. We show that the set of natural numbers realized as the number o…