# The multiresolution analysis of flow graphs

## TL;DR

This paper explores the multiresolution analysis of flow graphs in computer programs, using category theory to establish natural definitions and foundational results for understanding control transfer structures.

## Contribution

It introduces and proves fundamental results on graph-theoretic notions relevant to multiresolution analysis of flow graphs from a category-theoretical perspective.

## Key findings

- Basic results on flow graph notions established
- Category-theoretical framework applied to flow graphs
- Natural definitions for multiresolution analysis provided

## Abstract

We introduce and prove basic results about several graph-theoretic notions relevant to the multiresolution analysis of flow graphs that represent the transfer of control in computer programs. We take a category-theoretical viewpoint to demonstrate that our definitions are natural and to motivate particular incarnations of related constructions.