Abstract
H'aggkvist [6] proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K6n,6n. In [1] Cichacz and Froncek established a necessary and sufficient condition for the existence of a factorization of the complete bipartite graph Kn,n into generalized prisms of order 2n. In [2] and [3] Cichacz, Froncek, and Kovar showed decompositions of K3n/2,3n/2 into generalized prisms of order 2n. In this paper we prove that K6n/5,6n/5 is decomposable into prisms of order 2n when n = 0 (mod 50).
Original language | English (US) |
---|---|
Pages (from-to) | 55-62 |
Number of pages | 8 |
Journal | Discussiones Mathematicae - Graph Theory |
Volume | 37 |
Issue number | 1 |
DOIs | |
State | Published - 2017 |
Keywords
- Bipartite labeling
- Graph decomposition