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 $G$ different from $K_2$ can be 3-edge-weighted so that every two adjacent vertice…