Yenoke, Kins and Kaabar, Mohammed K. A. (2022) The bounds for the distance two labelling and radio labelling of nanostar tree dendrimer. Telkomnika (Telecommunication Computing Electronics and Control), 20 (1). 52 – 60. ISSN 1693-6930, DOI https://doi.org/10.12928/TELKOMNIKA.v20i1.20404.
Full text not available from this repository.Abstract
The distance two labelling and radio labelling problems are applicable to find the optimal frequency assignments on AM and FM radio stations. The distance two labelling, known as L(2,1)-labelling of a graph A, can be defined as a function, fc, from the vertex set V(A) to the set of all nonnegative integers such that d(c,s) represents the distance between the vertices c and 5 in A where the absolute values of the difference between k(c) and k(s) are greater than or equal to both 2 and 1 if d(c,s) = 1 and d(c,s) = 2, respectively. The L(2,1)-labelling number of A, denoted by λ2,l(A), can be defined as the smallest number j such that there is an L(2,1) —labeling with maximum label j. A radio labelling of a connected graph A is an injection k from the vertices of A to N such that (c,s) + |k(c) — k(s)l > 1 + d V c,s (Formula presented) V(A), where d represents the diameter of graph A. The radio numbers of fc and A are represented by rn(k) and rn(A) which are the maximum number assigned to any vertex of A and the minimum value of rn(k) taken over all labellings k of A, respectively. Our main goal is to obtain the bounds for the distance two labelling and radio labelling of nanostar tree dendrimers. © 2022. All Rights Reserved.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Distance-two-labelling; Labelling; Radio labelling; Radio number |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 28 May 2025 08:00 |
| Last Modified: | 28 May 2025 08:00 |
| URI: | http://eprints.um.edu.my/id/eprint/43231 |
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