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math.CO2026
Face -colorings and Petrie monochromatic circuits for efficient total arc colorings of cubic maps of girth 4
Italo J Dejter
Let be a finite connected simple cubic graph. A total coloring is efficient if each color yields an efficient dominating se…
math.CO2026
List and total colorings of multiset permutation graphs
Italo J. Dejter
Let and be positive integers. The multiset star transposition graph ST has as vertices the -strings on symbols, each symbol r…
math.CO2026
Efficient total face coloring of planar and toroidal maps
Italo J. Dejter
Let . A total coloring of a simple connected regular graph via the color set is said to be {\it efficient} if each color yields an efficie…