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math.CO2022
An extension on neighbor sum distinguishing total coloring of graphs
Jing-zhi Chang, Chao Yang, Zhi-xiang Yin +1
Let be a non-proper total -coloring of . Define a weight function on total coloring as $$ϕ(x)=f(x)+\sum\limits_{e\ni x}f(e)+\sum…
math.CO2021
A note on 1-2-3 and 1-2 Conjectures for 3-regular graphs
Jing-zhi Chang, Chao Yang, Zhi-xiang Yin +1
The 1-2-3 Conjecture, posed by Karoński, Łuczak and Thomason, asked whether every connected graph different from can be 3-edge-weighted so that every two adjacent vertice…