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Decompositions into small factors

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Abstract In this last chapter concerned with the theory of simplicial decompositions we shall be looking at the problem of decomposing a given graph G into induced subgraphs of cardinality strictly less than that of G, or strictly less than some given cardinal a; such subgraphs will informally be called small. (Needless to say, all our graphs will be infinite, and some will be more infinite than others.1) Most, though not all, of the decompositions we consider will be simplicial-but even when they are not, simplicial decompositions will provide the key to their construction.
Oxford University PressOxford
Title: Decompositions into small factors
Description:
Abstract In this last chapter concerned with the theory of simplicial decompositions we shall be looking at the problem of decomposing a given graph G into induced subgraphs of cardinality strictly less than that of G, or strictly less than some given cardinal a; such subgraphs will informally be called small.
(Needless to say, all our graphs will be infinite, and some will be more infinite than others.
1) Most, though not all, of the decompositions we consider will be simplicial-but even when they are not, simplicial decompositions will provide the key to their construction.

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