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math.CO2025
A Short Proof that Every Claw-Free Cubic Graph is (1,1,2,2)-Packing Colorable
Maidoun Mortada, Ayman El Zein
It was recently proved that every claw-free cubic graph admits a (1, 1, 2, 2)-packing coloring--that is, its vertex set can be partitioned into two 1-packings and two 2-packings. T…
math.CO2025
Advances on the Packing Coloring Conjectures of Subcubic Graphs
Ayman El Zein, Maidoun Mortada
For a non-decreasing sequence of integers , an -packing coloring of is a partition of into subsets such that the dist…