English

Minimum Rainbow $H$-Decompositions of Graphs

Combinatorics 2017-04-05 v1 Discrete Mathematics

Abstract

Given graphs GG and HH, we consider the problem of decomposing a properly edge-colored graph GG into few parts consisting of rainbow copies of HH and single edges. We establish a close relation to the previously studied problem of minimum HH-decompositions, where an edge coloring does not matter and one is merely interested in decomposing graphs into copies of HH and single edges.

Keywords

Cite

@article{arxiv.1704.01000,
  title  = {Minimum Rainbow $H$-Decompositions of Graphs},
  author = {Lale Özkahya and Yury Person},
  journal= {arXiv preprint arXiv:1704.01000},
  year   = {2017}
}
R2 v1 2026-06-22T19:07:15.538Z