On graceful difference labelings of disjoint unions of circuits

29 Aug 2019 Hertz Alain Picouleau Christophe

A graceful difference labeling (gdl for short) of a directed graph G with vertex set V is a bijection f between V and {1,...,|V|} such that, when each arc uv is assigned the difference label f(v)-f(u), the resulting arc labels are distinct. We conjecture that all disjoint unions of circuits have a gdl, except in two particular cases... (read more)

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