On a $K_4$-UH self-dual 1-configuration $(102_4)_1$

Italo J. Dejter

paper

On a $K_{4}$ -UH self-dual 1-configuration $(10 2_{4})_{1}$

arXiv:1002.0588

Abstract

Self-dual 1-configurations $(n_{d})_{1}$ possess their Menger graph $Y$ most $K_{4}$ -separated among connected self-dual configurations $(n_{d})$ . Such $Y$ is most symmetric if $K_{d}$ -ultrahomogeneous. In this work, such a $Y$ is presented for $(n, d) = (102, 4)$ and shown to relate $n$ copies of the cuboctahedral graph $L (Q_{3})$ to the $n$ copies of $K_{d}$ ; these are shown to share each copy of $K_{3}$ exactly with two copies of $L (Q_{3})$ .

20 pages, 7 figures, 9 tables

On a K4​-UH self-dual 1-configuration (1024​)1​

Abstract

References in corpus (2)

On a $K_{4}$ -UH self-dual 1-configuration $(10 2_{4})_{1}$