In a vertex-colored graph, a rainbow subgraph is a subgraph containing no color more than once (Angles d'Auriac et al. 2016).
If a rainbow subgraph is also tropical, then it is a colorful subgraph.
Rainbow Subgraph
See also
Colorful Cycle, Colorful Subgraph, Rainbow Cycle, Tropical Subgraph, Vertex-Colored GraphExplore with Wolfram|Alpha
References
Angles d'Auriac, J.-C.; Cohen, N.; El Maftouhi, A.; Harutyunyan, A.; Legay, S.; and Manoussakis, G. "Connected Tropical Subgraphs in Vertex-Colored Graphs." Disc. Math. Theor. Comput. Sci. 17, 31-42, 2016. https://doi.org/10.46298/dmtcs.2151.Cite this as:
Weisstein, Eric W. "Rainbow Subgraph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RainbowSubgraph.html