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math.CO2026
Adjacent vertex distinguishing total chromatic number of graph products
Amitayu Banerjee, Jayabalan Geetha, Kanagasabapathi Somasundaram
The adjacent vertex distinguishing (AVD)-total chromatic number of a graph is the least integer for which has a proper total coloring with colors s…
math.CO2026
AVD Total Colorings of Subdivision Graphs, Joins, and Deleted Lexicographic Products
Amitayu Banerjee
In 2020, Panda, Verma, and Keerti asked whether the central graph of every graph satisfies the AVD-total coloring conjecture. In this paper, we verify the conjecture for central gr…