Year: 2024
Type: article
Abstract: Let \(f:V(G) \rightarrow \{1, 2, \dots, p+q \}\) be an injective function, where \(p=|V(G)|\) and \(q=|E(G)|\). For a vertex labeling \(f\) the induced edge labeling \(f^*(e=uv)\) is defined by,\[f^*(e)= \left \lfloor {\frac{f(u)+\sqrt{f(u)f(v)}+f(v)}{3}} \right \rfloor \ \text{or} \ \left \lceil\frac{f(u)+\sqrt{f(u)f(v)}+f(v)}{3} \right \rceil.\]Then \(f\) is called a super Heronian mean labeling if \(\{f(V(G))\} \cup \{f(e): e \in E(G)\}=\{1, 2, 3, \dots, p+q\}\). A graph which admits super Heronian mean labeling is called super Heronian mean graph.
Authors: Lorelie S. Valencerina, Ariel C. Pedrano
Institution: University of Southeastern Philippines
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407060709