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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P503

Radio Number of Some Path Related Graph


Alamgir Rahaman Basunia, Laxman Saha, Kalishankar Tiwary
Abstract

A radio labeling of a graph ๐บ is a function ๐‘“ from the vertex set ๐‘‰ (๐บ) to the set of non negative integers such that |๐‘“(๐‘ข) โˆ’ ๐‘“(๐‘ฃ)| โ‰ฅ ๐‘‘๐‘–๐‘Ž๐‘š(๐บ) + 1 โˆ’ ๐‘‘๐บ(๐‘ข, ๐‘ฃ), where ๐‘‘๐‘–๐‘Ž๐‘š(๐บ)and ๐‘‘๐บ (๐‘ข, ๐‘ฃ) are diameter and distance between ๐‘ข and ๐‘ฃ in graph ๐บ, respectively. The radio number ๐‘Ÿ๐‘›(๐บ) of ๐บ is the smallest number ๐‘˜ such that ๐บ has radio labeling with ๐‘š๐‘Ž๐‘ฅ{๐‘“(๐‘ฃ) โˆถ ๐‘ฃ โˆˆ ๐‘‰ (๐บ)} = ๐‘˜. We investigate the radio number of some special type of path related graph.

Keywords
Tree, Radio number, Span.
References

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Citation :

Alamgir Rahaman Basunia, Laxman Saha, Kalishankar Tiwary, "Radio Number of Some Path Related Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 15-19, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P503

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