On the total versions of 1-2-3-conjecture for graphs and hypergraphs

Akbar Davoodi, Leila Maherani

In 2004, Karoński, Łuczak and Thomason proposed $1$-$2$-$3$-conjecture: For every nice graph $G$ there is an edge weighting function $w:E(G)\to \{1,2,3\}$ such that the in…