Authors: | Al-Yakoob, Salem Stevanović, Dragan |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | On interval transmission irregular graphs | Journal: | Journal of Applied Mathematics and Computing | Volume: | 68 | First page: | 45 | Last page: | 68 | Issue Date: | 2022 | Rank: | ~M21а | ISSN: | 1598-5865 | DOI: | 10.1007/s12190-021-01513-0 | Abstract: | Transmission of a vertex v of a connected graph G is the sum of distances from v to all other vertices in G. Graph G is transmission irregular (TI) if no two of its vertices have the same transmission, and G is interval transmission irregular (ITI) if it is TI and the vertex transmissions of G form a sequence of consecutive integers. Here we give a positive answer to the question of Dobrynin [Appl Math Comput 340 (2019), 1–4] of whether infinite families of ITI graphs exist. |
Keywords: | Transmission irregular graph | Vertex transmission | Wiener complexity | Publisher: | Springer Link |
Show full item record
SCOPUSTM
Citations
7
checked on Nov 8, 2024
Page view(s)
20
checked on Nov 8, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.