Long Cycles in Chromatic Digraphs Spanned by Hamiltonian Directed Paths
Abstract
Let C be any oriented cycle on n vertices. We show that every (10n−4)-chromatic digraph spanned by a Hamiltonian directed path contains a subdivision of C.
Fields of Study & Subjects
Advanced Graph Theory Research
Limits and Structures in Graph Theory
graph theory and CDMA systems
Publication details
- Journal / source
- Mathematics
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 11
- Pages
- 1979–1979
- Publication date
- 3 June 2026
- Language
- EN