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math.CO2025
Self-reverse labelings of distance magic graphs
Petr Kovář, Ksenija Rozman, Primož Šparl
A graph is distance magic if it admits a bijective labeling of its vertices by integers from up to the order of the graph in such a way that the sum of the labels of all the ne…
math.CO2025
An infinite family of simple graphs underlying chiral, orientable reflexible and non-orientable rotary maps
Isabel Hubard, Primož Potočnik, Primož Šparl
In this paper, we provide the first known infinite family of simple graphs, each of which is the skeleton of a chiral map, a skeleton of a reflexible map on an orientable surfaces,…