Geodesic
$F$-Geometric Mean Labeling of some Chain Graphs and Thorn graphs
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 163 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A function $f$ is called a $F$-Geometric mean labeling of a graph $G(V,E)$ if $f:V(G)\rightarrow\{1,2,3,\dots,q+1\}$ is injective and the induced function $f^*:E(G)\rightarrow\{1,2,3,\dots,q\}$ defined as $f^*(uv)=\left\lfloor \sqrt{f(u)f(v)} \right\rfloor,$ for all $uv\in E(G),$ is bijective. A graph that admits a $F$-Geometric mean labelling is called a $F$-Geometric mean graph. In this paper, we have discussed the $F$-Geometric mean labeling of some chain graphs and thorn graphs.
Classification : 05C78
Keywords: Labeling, $F$-Geometric mean labeling, $F$-Geometric mean graph. 
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     author = {A. Durai Baskar and S. Arockiaraj and B. Rajendran},
     title = {$F${-Geometric} {Mean} {Labeling} of some {Chain} {Graphs} and {Thorn} graphs},
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A. Durai Baskar; S. Arockiaraj; B. Rajendran. $F$-Geometric Mean Labeling of some Chain Graphs and Thorn graphs. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 163 . http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a12/