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Monochromatic and Heterochromatic Subgraphs in Edge-Colored Graphs - A Survey

✍ Scribed by Mikio Kano; Xueliang Li


Publisher
Springer Japan
Year
2008
Tongue
English
Weight
290 KB
Volume
24
Category
Article
ISSN
0911-0119

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Cycles and paths in edge-colored graphs
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## 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