Minkowski-4 Mean Labeling of Graphs

M.Kaaviya Shree; K.Sharmilaa

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P518

Minkowski-4 Mean Labeling of Graphs

M.Kaaviya Shree, K.Sharmilaa

Abstract

Let G = (V,E) be an undirected graph with p vertices and q edges. Define a function f:V(G)->{1,2,3,.....,q+1} is called Minkowski-4 Mean Labeling of a graph G if we could able to label the vertices x ε V with distinct elements from 1,2,...., q+1 such that it induces an edge labeling f*: E(G) -> {1,2,3,....,q+1} defined as, f* (e=uv) = [ (f(u)4+f(v)4/2)1/4], is distinct for all edges e =uv ε E. (i,e.) It indicates that the distinct vertex labeling induces a distinct edge labeling on the graph. The graph which admits Minkowski-4 Mean Labeling is called a Minkowski-4 Mean Graph. In this paper, we have investigated the Minkowski-4 Mean Labeling of some standard graphs like Path, Comb, Caterpillar, Pn Θ K1,2, etc.

Keywords

Minkowski-4 Mean Labeling, Minkowski-4 Mean Graph, Path, Comb, Caterpillar, 𝑃௡ ⊙ 𝐾ଵ,ଶ

References

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Citation :

M.Kaaviya Shree, K.Sharmilaa, "Minkowski-4 Mean Labeling of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 114-118, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P518