@article {IOPORT.05281948, author = {Narayanaswamy, N.S. and Babu, R.Subhash}, title = {A note on first-fit coloring of interval graphs.}, year = {2008}, journal = {Order}, volume = {25}, number = {1}, issn = {0167-8094}, pages = {49-53}, publisher = {Springer, Dordrecht}, doi = {10.1007/s11083-008-9076-6}, abstract = {Summary: We apply the Column Construction Method [{\it K. Varadarajan}, {\it S. V. Pemmaraju}, and {\it S. Raman}, Buffer minimization using max-coloring, In: Proceedings of the Fifteenth Annual ACM-SIAM Symposium On Discrete Algorithms, New Orleans, 11--14 January 2004, 562 -- 571 (2004)] to a minimal clique cover of an interval graph to obtain a new proof that First-Fit is 8-competitive for online coloring interval graphs. This proof also yields a new discovery that in each minimal clique cover of an interval graph $G$, there is a clique of size $\frac{\omega(G)}{8}$.}, identifier = {05281948}, }