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

February 03, 2015 Β· Declared Dead Β· πŸ› Algorithmica

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Authors Piotr Micek, Veit Wiechert arXiv ID 1502.00859 Category cs.DS: Data Structures & Algorithms Cross-listed math.CO Citations 7 Venue Algorithmica Last Checked 4 months ago
Abstract
The existence of an on-line competitive algorithm for coloring bipartite graphs remains 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 a new on-line competitive coloring algorithm for $P_9$-free bipartite graphs.
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