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math.CO2026
Multiset Colorings of Random Graphs Across Density Regimes
Arash Ahadi, Sharareh Alipour
We show that almost every graph admits a partition of its vertex set into three parts such that no two adjacent vertices have the same number of neighbors in each of the three part…
math.CO2026
Extremal List Gaps and Inapproximability in Additive Graph Labeling
Arash Ahadi, Sharareh Alipour
We study a vertex-labeling analogue of the -- problem and its list version. For a labeling , let . The additive n…