Document Type

Article

Publication Date

7-2023

Abstract

It has been an open problem to find the Moore-Penrose inverses of the incidence, Laplacian, and signless Laplacian matrices of families of graphs except trees and unicyclic graphs. Since the inverse formulas for an odd unicyclic graph and an even unicyclic graph are quite different, we consider wheel graphs as they are formed from odd or even cycles. In this article we solve the open problem for wheel graphs. This work has an interesting connection to inverses of circulant matrices.

Comments

The copy of record is available from the publisher at https://doi.org/10.63151/amjc.v2i.9. © The author(s). Released under the CC BY 4.0 International License.

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