For Sierpiński products of complete graphs, paths, and stars, the paper determines or bounds the minimum and maximum packing chromatic number over all connecting functions, and gives a polynomial-time recognition algorithm for products of two trees.
Dliou, Independence, matching and packing coloring of the iterated Myciel- skian of graphs, Discrete Appl
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On Sierpi\'{n}ski packing chromatic number and recognition of Sierpi\'{n}ski products
For Sierpiński products of complete graphs, paths, and stars, the paper determines or bounds the minimum and maximum packing chromatic number over all connecting functions, and gives a polynomial-time recognition algorithm for products of two trees.