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Nordhaus–Gaddum‐type Theorems for decompositions into many parts

Nordhaus–Gaddum‐type Theorems for decompositions into many parts

Abstract A k ‐decomposition ( G 1 ,…, G k ) of a graph G is a partition of its edge set to form k spanning subgraphs G 1 ,…, G k . The classical theorem of Nordhaus and Gaddum bounds χ( G 1 ) + χ( G 2 ) …