Permutation Graphs and Transitive Graphs
Journal of the ACM (JACM)
The complexity of coloring graphs without long induced paths
Acta Cybernetica
Complexity of Coloring Graphs without Forbidden Induced Subgraphs
WG '01 Proceedings of the 27th International Workshop on Graph-Theoretic Concepts in Computer Science
3-Colorability ∈ P for P6-free graphs
Discrete Applied Mathematics - The 1st cologne-twente workshop on graphs and combinatorial optimization (CTW 2001)
Note: On the complexity of 4-coloring graphs without long induced paths
Theoretical Computer Science
A Certifying Algorithm for 3-Colorability of P5-Free Graphs
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
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We present a polynomial-time algorithm determining whether or not, for a fixed k, a P5-free graph can be k-colored. If such a coloring exists, the algorithm will produce one.