On stepwise transmission irregular graphs

Salem Al-Yakoob and Dragan Stevanović

Applied Mathematics and Computation, 2022, vol. 413, issue C

Abstract: Dobrynin and Sharafdini [Appl Math Comput 371 (2020) 124949] defined a stepwise transmission irregular (STI) graph as a graph in which transmissions of any two adjacent vertices differ by one. They posed two conjectures in their study of STI graphs. Here we resolve one of them and provide further computational support for the other one.

Keywords: Vertex distance; Vertex transmission; Stepwise transmission irregular graph (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321006913

DOI: 10.1016/j.amc.2021.126607

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