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Mathematics PDF Available Non-peer-reviewed Preprint

Simplification for Graph-like Objects

Will Grilliette  ·  Published 2020-12-16

Abstract

The simplification of a multigraph into a simple graph can be abstracted to a more general comma category under some common conditions. When using the identity functor, the category of simple objects in a comma category generalizes the functor-structured category. Seated in categorical terms, simplification can be dualized to "antisimplification", which manifests as removal of isolated vertices and loose edges.

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