Weighted modulo orientations of graphs and signed graphs

J Liu, M Han, HJ Lai - The Electronic Journal of Combinatorics, 2022 - combinatorics.org
Given a graph $ G $ and an odd prime $ p $, for a mapping $ f: E (G)\to {\mathbb Z}
_p\setminus\{0\} $ and a ${\mathbb Z} _p $-boundary $ b $ of $ G $, an orientation $\tau $ is …