Monday, 1 May 2023

Square Sum Labeling of Octopus Graph and Vanessa Graph: A Brief Mathematical Approach | Chapter 4 | Research Highlights in Mathematics and Computer Science Vol. 9

Vanessa diagram and Octopus graph accepts many labeling such as opportune labeling, square distinctness labeling, prime labeling, twelve inches/30.48 centimeters measured labeling, etc. Inspired by this study, we result that Octopus graph and Vanessa diagram admits one more marking called square total labeling. The Octopus graph on and Vanessa diagram Vn admit square total labeling, as this item demonstrated. Vanessa graph is constructed by joining two fan graphs accompanying a star graph that share a prevalent vertex, and Octopus graph is founded by joining a fan diagram and a star graph.  In the event that, if f: V (G) → {0,1,2, ..., P -1} is odd and prompts immersion action f*: E(G) → N is likely by f*(uv) = [f(u)]2 + [f(v)]2, for all uv ∈ E(G).

Author(s) Details:

R. Parameswari,
Sathyabama Institute of Science and Technology, Chennai, Tamil Nadu, India.

Please see the link here: https://stm.bookpi.org/RHMCS-V9/article/view/10408

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