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Date: 18-3-2022
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The Lovász number of a graph satisfies
where is the clique number, is the chromatic number of , and is the graph complement of . Furthermore, can be computed efficiently despite the fact that the computation of the two numbers it lies between is an NP-hard problem.
The squeezing theorem is also sometimes known as the sandwich theorem.
Grötschel, M.; Lovász, L.; and Schrijver, A. "The Ellipsoid Method and Its Consequences in Combinatorial Optimization." Combinatorica 1, 169-197, 1981.
Knuth, D. E. "The Sandwich Theorem." Electronic J. Combinatorics 1, No. 1, A1, 1-48, 1994. http://www.combinatorics.org/Volume_1/Abstracts/v1i1a1.html.
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