Different types of products and subdirectly irreducible
E. Suková, Jiří Vinárek (1986)
Acta Universitatis Carolinae. Mathematica et Physica
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Different types of products and subdirectly irreducible
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A balanced colouring of a graph G is a colouring of some of the vertices of G with two colours, say red and blue, such that there is the same number of vertices in each colour. The balanced decomposition number f(G) of G is the minimum integer s with the following property: For any balanced colouring of G, there is a partition V (G) = V1 ∪˙ · · · ∪˙ Vr such that, for every i, Vi induces a connected subgraph of order at most s, and contains the same number of red and blue vertices. The...