A new look at twin reduction

P. Cameron

doi:10.48550/arxiv.2507.10189

July 14, 2025Open Access

A new look at twin reduction

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Key Points

Twin reduction establishes equivalence relations among vertices, simplifying graph structures.
The characterisation of this relation yields a significant structure theorem regarding the automorphism group.
Understanding twin reduction further aids in analyzing graph properties and their automorphism structures.
The findings have implications for the study of graph theory, contributing to existing literature on automorphisms.

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Implication

This analysis characterizes twin reduction, revealing insights about the automorphism group of graphs.

Abstract

Twin reduction defines an equivalence relation on the vertex set of a graph. I give a characterisation of this equivalence relation. A consequence is a structure theorem for the automorphism group of the graph.

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P. Cameron (2025) studied this question.

synapsesocial.com/papers/68de6f4283cbc991d0a22dd9 https://doi.org/10.48550/arxiv.2507.10189

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A new look at twin reduction

Key Points

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Implication

Abstract

Discussion

Cite This Study

A new look at twin reduction

Key Points

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Implication

Abstract

Discussion

Cite This Study

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