Rainbow PathsDiscrete Mathematics (2010)
A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-coloring of the edges of Kn in which one may find, between any pair of vertices, a large number of internally disjoint k-rainbow paths. In fact, our construction obtains the largest possible number of paths. This problem was considered in a less general setting by Chartrand et al.
- Rainbow paths,
Publication DateFebruary 28, 2010
Citation InformationDomigos Dellamonica Jr., Colton Magnant and Daniel M. Martin. "Rainbow Paths" Discrete Mathematics Vol. 310 Iss. 4 (2010) p. 774 - 781 ISSN: 0012-365X
Available at: http://works.bepress.com/colton_magnant/11/