Path multicoloring with fewer colors in spiders and caterpillars

Cycles and paths in edge-colored graphs

Cycles and paths in edge-colored graphs with given degrees

✍ A. Abouelaoualim,; K. Ch. Das; W. Fernandez de la Vega; M. Karpinski; Y. Manouss 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB 👁 1 views

## Abstract Sufficient degree conditions for the existence of properly edge‐colored cycles and paths in edge‐colored graphs, multigraphs and random graphs are investigated. In particular, we prove that an edge‐colored multigraph of order __n__ on at least three colors and with minimum colored degre