K - Power-3 Heronian Mean Labeling of Graphs

We describe a function as – Power 3. If constitute both the induced edge labelling and take be an injective function and express it as, then a graph's Heronian Mean Labelling with p nodes and q lines is or with distinct edge labels. In this manuscript we have proved the – Power -3 Mean labeling behaviour of Path, Twig Graph, Triangular ladder . We have also investigated - Super power -3 Heronian Mean labelling of graghs. Also, we prove that is not – Power - 3 Heronian Mean graph and - Super power -3 Heronian Mean labelling of Snake related graphs like triangular, alternative triangular and double triangular snake graphs.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-11-20
DOI
https://doi.org/10.5281/zenodo.14191350
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

K - Power-3 Heronian Mean Labeling of Graphs

Zenodo (CERN European Organization for Nuclear Research)
Graph Labeling and Dimension Problems
article

K - Power-3 Heronian Mean Labeling of Graphs

article en

Abstract

We describe a function as – Power 3. If constitute both the induced edge labelling and take be an injective function and express it as, then a graph's Heronian Mean Labelling with p nodes and q lines is or with distinct edge labels. In this manuscript we have proved the – Power -3 Mean labeling behaviour of Path, Twig Graph, Triangular ladder . We have also investigated - Super power -3 Heronian Mean labelling of graghs. Also, we prove that is not – Power - 3 Heronian Mean graph and - Super power -3 Heronian Mean labelling of Snake related graphs like triangular, alternative triangular and double triangular snake graphs.

Zenodo (CERN European Organization for Nuclear Research)
PES University (IN), Seva Mandir (IN), Mandya Institute of Medical Sciences (IN)
Openalex Percentile: Top 53%
Graph Labeling and Dimension Problems
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