Radio Labeling for Strong Product K3 ⊠ Pn

Autor: Hengxiao Qi, Saima Nazeer, Imrana Kousar, Muhammad Awais Umar, Nehad Ali Shah
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: IEEE Access, Vol 8, Pp 109801-109806 (2020)
Druh dokumentu: article
ISSN: 2169-3536
27723038
DOI: 10.1109/ACCESS.2020.3002397
Popis: Many variations of graph labeling has been defined in the literature. e.g., graceful, harmonious and radio labeling etc. In information technology and in data sciences, we need secrecy of data, different channel assignment and accuracy of transmission of the data. This make the use of graph terminologies indispensable for the computer programs. In this paper, we will discuss multi-distance radio labeling used for channel assignment problem over a wireless communication. A radio (multi-distance) labeling of a graph G is a function h from V(G) to the set of non-negative integers such that |h(u) - h(v)| ≥ diam(G) + 1 - dG(u, v), Where diam(G) and dG(u, v) are diameter and distance between u and v in graph G respectively. The span of a radio labeling h is the maximum integer assigned by h and radio number of a graph G is the minimum span taken over all radio labeling of G. In this article, we will find relations for radio number of a strong product K3 ⊗ Pn, n ≥ 3.
Databáze: Directory of Open Access Journals