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International Journal of Computing Algorithm, Vol 3(2), June 2014
ISSN(Print):2278-2397
Website: www.ijcoa.com
Some New Classes of 3-Total Product Cordial
Graphs
V. Sharon Philomena, A. Hemalatha
P.G.Department of Mathematics, Women’s Christian College, Chennai
E-mail: sharon_philomena@yahoo.com
Abstract
In [ 3 ], Ponraj. R et al have defined the 3- Total Product Cordial of a graph G (V, E) as
follows, Let f be a function from V(G) to{0, 1, ... k - 1}where k is an integer, 2 ≤ k ≤
V(G).For each edge uv assign the label f (u) f (v) (mod k). f is called a k - Total Product
cordial labeling if f (i) − f ( j) ≤ 1, i, j ∈{0, 1, . .k - 1} where f(x) denotes the total number of
vertices and edges labeled with x(x = 0, 1, 2, ...., k-1). We prove that the 3-Total Product
cordial labeling is a behaviour of Fn.

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Some New Classes of 3-Total Product Cordial Graphs

  • 1. International Journal of Computing Algorithm, Vol 3(2), June 2014 ISSN(Print):2278-2397 Website: www.ijcoa.com Some New Classes of 3-Total Product Cordial Graphs V. Sharon Philomena, A. Hemalatha P.G.Department of Mathematics, Women’s Christian College, Chennai E-mail: sharon_philomena@yahoo.com Abstract In [ 3 ], Ponraj. R et al have defined the 3- Total Product Cordial of a graph G (V, E) as follows, Let f be a function from V(G) to{0, 1, ... k - 1}where k is an integer, 2 ≤ k ≤ V(G).For each edge uv assign the label f (u) f (v) (mod k). f is called a k - Total Product cordial labeling if f (i) − f ( j) ≤ 1, i, j ∈{0, 1, . .k - 1} where f(x) denotes the total number of vertices and edges labeled with x(x = 0, 1, 2, ...., k-1). We prove that the 3-Total Product cordial labeling is a behaviour of Fn.