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Alternating paths in edge-colored complete graphs. (English) Zbl 0819.05039

An alternating path in an edge-colored graph is a path in which every two adjacent edges have different colors. In this paper, an \(O(n^{2.5})\) algorithm is given for finding the maximum number of internally vertex- disjoint alternating paths between a specified pair of vertices in an edge-colored complete graph. Related problems are studied in which further restrictions on the paths and on the edge-colorings are imposed.

MSC:

05C38 Paths and cycles
05C15 Coloring of graphs and hypergraphs
68R10 Graph theory (including graph drawing) in computer science
68Q25 Analysis of algorithms and problem complexity
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