Arithmetical Structures on Wheel Graphs
Adhikari, Bibhas; Behera, Namita; Chhetri, Dilli Ram; Yadav, Raj Bhawan;
Arithmetical Structures on Wheel Graphs
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.
Comment: 13pages, 3figures
11D72, 15B48, 11D45, 11B83, 11D68, 11C20, Mathematics - Combinatorics
11D72, 15B48, 11D45, 11B83, 11D68, 11C20, Mathematics - Combinatorics
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