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Arithmetical Structures on Paths With a Doubled Edge

2019/03/04 by Darren Glass, Glass, Darren, Joshua R. Wagner +1
Computer Science · Engineering · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #Graph theory and applications #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1903.01398

openalex publication_date 2019/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

An arithmetical structure on a graph is given by a labeling of the vertices which satisfies certain divisibility properties. In this note, we look at several families of graphs and attempt to give counts on the number of arithmetical structures for graphs in these families.

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