A simple construction of exponentially many nonisomorphic orientable triangular embeddings of K_12s

Authors

  • Vladimir P. Korzhik Pidstryhach Institute for Applied Problems in Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine https://orcid.org/0000-0001-8685-5648

DOI:

https://doi.org/10.26493/2590-9770.1387.a84

Keywords:

Topological embedding, complete graph, nonisomorphic embeddings, triangular embedding

Abstract

Using an index one current graph with the cyclic current group we give a simple construction of 22s − 7 nonisomorphic orientable triangular embeddings of the complete graph K12s, s ≥ 4. These embeddings have no nontrivial automorphisms.

Published

2021-01-26

Issue

Section

Articles