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February 2022 The book thickness of nilpotent graphs
G. Kalaimurugan, P. Vignesh
Rocky Mountain J. Math. 52(1): 127-132 (February 2022). DOI: 10.1216/rmj.2022.52.127

Abstract

We find the exact book thickness of all nilpotent graphs associated to commutative rings with nonzero identity whose genus is at most one. Also, we investigate the book thickness of nilpotent graphs from local rings and some product rings.

Citation

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G. Kalaimurugan. P. Vignesh. "The book thickness of nilpotent graphs." Rocky Mountain J. Math. 52 (1) 127 - 132, February 2022. https://doi.org/10.1216/rmj.2022.52.127

Information

Received: 12 December 2020; Revised: 10 March 2021; Accepted: 8 May 2021; Published: February 2022
First available in Project Euclid: 19 April 2022

Digital Object Identifier: 10.1216/rmj.2022.52.127

Subjects:
Primary: 05C10 , 05C25 , 13M05

Keywords: book thickness , commutative ring , genus , nilpotent graph

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 1 • February 2022
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