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arXiv · 2412.07816

Arithmetical Structures on Wheel Graphs

Bibhas Adhikari·Namita Behera·Dilli Ram Chhetri·Raj Bhawan Yadav
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Abstract

An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r = 0, where A is the adjacency matrix of G. In this article, we investigate arithmetical structures on the wheel graphs.

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Bibhas Adhikari, Namita Behera, Dilli Ram Chhetri, Raj Bhawan Yadav. 2024-12-10. Arithmetical Structures on Wheel Graphs. https://arxiv.org/abs/2412.07816

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