Improved bounds on the performance of the on-line graph coloring algorithm First-Fit on interval graphs are obtained.
Coloring Fuzzy Circular Interval Graphs
โ Scribed by Friedrich Eisenbrand; Martin Niemeier
- Book ID
- 108120724
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 174 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1571-0653
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## Abstract We prove that the complements of interval bigraphs are precisely those circular arc graphs of clique covering number two, which admit a representation without two arcs covering the whole circle. We give another characterization of interval bigraphs, in terms of a vertex ordering, that w
Suppose that G is a finite simple graph and w is a weight function which assigns to each vertex of G a nonnegative real number. Let C be a circle of length t . A t-circular coloring of (G,w) is a mapping A of the vertices of G to arcs of C such that A(%) n A(y) = 0 if (x, y) E E ( G ) and A(x) has l