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math.CO2026
A classification of rotary embeddings of multicycles
Zhaochen Ding, Zheng Guo, Luyi Liu
We classify rotary (orientably-regular) maps whose underlying graphs are multicycles. For the multicycle of length and edge-multiplicity , we determine…
math.CO2024
Arc-transitive maps with edge number coprime to the Euler characteristic -- I
Cai Heng Li, Luyi Liu
This is one of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one establishes…
math.CO2024
Arc-transitive maps with coprime Euler characteristic and edge number -- II
Cai Heng Li, Luyi Liu
This is the second of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one carr…