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arXiv · 0706.2453

Transitive decompositions of graphs and their links with geometry and origami

Geoffrey Pearce
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Abstract

A transitive decomposition of a graph is a partition of the edge or arc set giving a set of subgraphs which are preserved and permuted transitively by a group of automorphisms of the graph. In this paper we give some background to the study of transitive decompositions and highlight a connection with partial linear spaces. We then describe a simple method for constructing transitive decompositions using graph quotients, and we show how this may be used in an application to modular origami.

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Geoffrey Pearce. 2007-06-17. Transitive decompositions of graphs and their links with geometry and origami. https://arxiv.org/abs/0706.2453

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