@article{Yu2023, 
author = {Xue Yu and Qingshan Zhang},
title = {Orientable vertex transitive embeddings of                      K              p},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15024-15034},
keywords = {vertex-transitive, maps, complete graphs, Frobenius groups},
url = {https://www.sciopen.com/article/10.3934/math.2023767},
doi = {10.3934/math.2023767},
abstract = {In [J. Combin. Theory Ser. B, 99 (2009), 447-454)], Li characterized the classification of vertex-transitive embeddings of complete graphs, and proposed how to enumerate such maps. In this paper, we study the counting problem of orientable vertex-transitive embeddings of                      K              p  , where    p  ≥  5 is a prime. Moreover, we obtain the number of non-isomorphic orientable vertex-transitive complete maps with    p vertices.}
}