Chromatic Numbers of Competition Graphs
Technical rept. Apr-Jul 1993
NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF MATHEMATICS
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Previous work on competition graphs has emphasized characterization, not only of the competition graphs themselves but also of those graphs whose competition graphs are chordal or interval. The latter sort of characterization is of interest when a competition graph that is easily colorable would be useful, e.g. in a scheduling or assignment problem. This leads naturally to the following question Given a graph F, does the structure of G tell us anything about the chromatic number X of the competition graph CG We show that in some cases we can calculate this chromatic number exactly, while in others we can place tight bounds on the chromatic number.
- Numerical Mathematics