On stepwise transmission irregular graphs

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摘要

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.

论文关键词：Vertex distance,Vertex transmission,Stepwise transmission irregular graph

论文评审过程：Received 10 August 2020, Revised 16 August 2021, Accepted 18 August 2021, Available online 31 August 2021, Version of Record 31 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126607