A simple construction of exponentially many nonisomorphic orientable triangular embeddings of K_{12s}

  • Vladimir P. Korzhik Pidstryhach Institute for Applied Problems in Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
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 $2^{2s-7}$ nonisomorphic orientable triangular embeddings of the complete graph $K_{12s}$, $s\geq 4$. These embeddings have no nontrivial automorphisms.

Published
2020-09-25
Section
Articles