Bing Yao

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math.CO2022

New Techniques Based On Odd-Edge Total Colorings In Topological Cryptosystem

Bing Yao, Mingjun Zhang, Sihua Yang +1

For building up twin-graphic lattices towards topological cryptograph, we define four kinds of new odd-magic-type colorings: odd-edge graceful-difference total coloring, odd-edge e…

math.CO2022

An extension on neighbor sum distinguishing total coloring of graphs

Jing-zhi Chang, Chao Yang, Zhi-xiang Yin +1

Let $f : V (G) \cup E (G) \to {1, 2, \dots, k}$ be a non-proper total $k$ -coloring of $G$ . Define a weight function on total coloring as $$ϕ(x)=f(x)+\sum\limits_{e\ni x}f(e)+\sum…