Heinz Quarter Mean Labeling of Some Special Graphs

S. Latha; S.S. Sandhya

doi:https://doi.org/10.14445/22315373/IJMTT-V70I4P105

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 4 | Year 2024 | Article Id. IJMTT-V70I4P105 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I4P105

Heinz Quarter Mean Labeling of Some Special Graphs

S. Latha, S.S. Sandhya

Received	Revised	Accepted	Published
28 Feb 2024	22 Mar 2024	13 Apr 2024	30 Apr 2024

Abstract

A graph 𝐺 = (𝑉, 𝐸) having a number of vertices as 𝑝 and a number of edges as 𝑞 can be called a Heinz – Quarter Mean graph if the vertices 𝑥 ∈ 𝑉 can be labeled with distinct labels 𝑓(𝑥) from 1, 2, 3, … … , 𝑞 + 1. Here, each edge is labeled with 𝑓(𝑒 =𝑢𝑣)=⌊ √𝑓(𝑢)𝑓(𝑣) 4 (√𝑓(𝑢)+√𝑓(𝑣) ) 2 ⌋ or ⌈ √𝑓(𝑢)𝑓(𝑣) 4 (√𝑓(𝑢)+√𝑓(𝑣) ) 2 ⌉, then the resulting edge labels are distinct. Here, f is called Heinz – Quarter mean labeling of 𝐺. In this section, we investigate the Heinz Quarter Mean Labeling of some special named graphs.

Keywords

Heinz Quarter Mean, Zagreb indices, Grotzch, Bidiakis, Fritch, etc.

References

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Citation :

S. Latha, S.S. Sandhya, "Heinz Quarter Mean Labeling of Some Special Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 4, pp. 38-44, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I4P105