A survey of Nordhaus-Gaddum type relations

Mustapha Aouchiche; Pierre Hansen

doi:10.1016/j.dam.2011.12.018

A survey of Nordhaus-Gaddum type relations

Mustapha Aouchiche
, Pierre Hansen

Research output: Contribution to journal › Article › peer-review

145 Citations (Scopus)

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.

Original language	English
Pages (from-to)	466-546
Number of pages	81
Journal	Discrete Applied Mathematics
Volume	161
Issue number	4-5
DOIs	https://doi.org/10.1016/j.dam.2011.12.018
Publication status	Published - Mar 2013
Externally published	Yes

Keywords

Complement
Graph
Inequalities
Invariants
Nordhaus-Gaddum

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/j.dam.2011.12.018

Cite this

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KW - Complement

KW - Graph

KW - Inequalities

KW - Invariants

KW - Nordhaus-Gaddum

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A survey of Nordhaus-Gaddum type relations

Abstract

Keywords

ASJC Scopus subject areas

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