
Geometric Mean Cordial Labeling of Transformation Graph of a Star Graph
Author(s) -
K. Nagarajan,
K. Lakshmi
Publication year - 2019
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.a1212.1291s419
Subject(s) - combinatorics , graph , mathematics , graph labeling , geometric graph theory , edge graceful labeling , voltage graph , graph power , line graph
( V, E ) be a graph and f be a mapping from V(G) { 0, 1, 2 }. For each edge uv, assign the label f (u) f (v) , f is called a geometric mean cordial labeling if | vf (i) − vf (j) | ≤ 1 and | ef (i) − e f (j) | ≤ 1,where vf (x) and ef (x) denote the number of vertices and edges labeled with x, x { 0, 1, 2 } respectively. A graph with a geometric mean cordial labeling is called geometric mean cordial graph. In this paper, the geometric mean cordiality of transformation graph of star is discussed.