Decomposition of complete graphs into small graphs
In 1967, A. Rosa proved that if a bipartite graph \(G\) with \(n\) edges has an \(\alpha\)-labeling, then for any positive integer \(p\) the complete graph \(K_{2np+1}\) can be cyclically decomposed into copies of \(G\). This has become a part of graph theory folklore since then. In this note we pro...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2010-01-01
|
Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | http://www.opuscula.agh.edu.pl/vol30/3/art/opuscula_math_3021.pdf |