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An On-line competitive algorithm for coloring bipartite graphs without long induced paths

Micek, Piotr; Wiechert, Veit

The existence of an on-line competitive algorithm for coloring bipartite graphs is a tantalizing open problem. So far there are only partial positive results for bipartite graphs with certain small forbidden graphs as induced subgraphs. We propose an on-line competitive coloring algorithm for P9-free bipartite graphs.
Published in: Algorithmica, 10.1007/s00453-016-0130-2, Springer