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A survey of Nordhaus-Gaddum type relations

Discrete Applied Mathematics (2013) 161(4-5) 466-546
DOI: 10.1016/j.dam.2011.12.018
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Abstract

In 1956, Nordhaus and Gaddum gave lower and upper bounds on the sum and the product of the chromatic number of a graph and its complement, in terms of the order of the graph. Since then, relations of a similar type have been proposed for many other graph invariants, in several hundred papers. We present a survey on this research endeavor. © 2011 Elsevier B.V. All rights reserved.

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Aouchiche, M., & Hansen, P. (2013). A survey of Nordhaus-Gaddum type relations. In Discrete Applied Mathematics (Vol. 161, pp. 466–546). https://doi.org/10.1016/j.dam.2011.12.018

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