Decomposition of \(K_{13}\) into a torus graph and a graph imbedded in the Klein bottle
type: Item
instance of: scholarly article
title: Decomposition of \(K_{13}\) into a torus graph and a graph imbedded in the Klein bottle
zbMATH Open document ID: 0755.05029
DOI: 10.1016/0012-365X(92)90353-H
author: Jean Mayer
author: Oleg V. Borodin
published in: Discrete Mathematics
publication date: 1992-09-27T00:00:00Z
review text: In 1959, \textit{G. Ringel} gave a decomposition of \({\mathcal K}_{13}\) into two toroidal graphs. \textit{O. V. Borodin} and \textit{J. Mayer} studied the question whether \({\mathcal K}_{13}\) may be decomposed into a toroidal graph and a graph imbedded in the Klein bottle. In the presented note, there are two independent and different solutions of the problem.
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 64627
zbMATH Keywords: decomposition
zbMATH Keywords: Klein bottle
zbMATH Keywords: toroidal graph
zbMATH Keywords: Euler characteristics
reviewed by: Jiri Vinarek
MaRDI profile type: Publication
cites work: Representing of K13 as a 2-pire map on the Klein bottle.
cites work: Q3261867
full work available at URL: 0012-365x(92)90353-h
OpenAlex ID: W2028272931
description: scientific article; zbMATH DE number 64627