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arXiv · 2603.20722

Classification of perfect and total perfect codes in generalized Petersen graphs

Xiaomeng Wang·Junyang Zhang
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Abstract

In a graph $Γ$, a perfect code is an independent set $C$ with the property that every vertex not in $C$ is adjacent to a unique vertex in $C$, and a total perfect code is a set $C$ of vertices of $Γ$ such that every vertex of $Γ$ is adjacent to a unique vertex in $C$. We classify these codes for generalized Petersen graphs.

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Xiaomeng Wang, Junyang Zhang. 2026-03-21. Classification of perfect and total perfect codes in generalized Petersen graphs. https://arxiv.org/abs/2603.20722

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