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10.5120/ijca2015905237 |

N K Sudev, K P Chithra and K A Germina. Article: Topological Integer Additive Set-Graceful Graphs. *International Journal of Computer Applications* 123(2):1-4, August 2015. Published by Foundation of Computer Science (FCS), NY, USA. BibTeX

@article{key:article, author = {N.K. Sudev and K. P. Chithra and K.A. Germina}, title = {Article: Topological Integer Additive Set-Graceful Graphs}, journal = {International Journal of Computer Applications}, year = {2015}, volume = {123}, number = {2}, pages = {1-4}, month = {August}, note = {Published by Foundation of Computer Science (FCS), NY, USA} }

### Abstract

Let N0 denote the set of all non-negative integers and X be any subset of X. Also denote the power set of X by P(X). An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) ! P(X) such that the induced function f+ : E(G) ! P(X) is defined by f+(uv) = f(u) + f(v), where f(u) + f(v) is the sumset of f(u) and f(v). An IASL f is said to be a topological IASL (Top-IASL) if f(V (G)) [ f;g is a topology of the ground set X. An IASL is said to be an integer additive set-graceful labeling (IASGL) if for the induced edgefunction f+, f+(E(G)) = P(X)??f;; f0gg. In this paper, we study certain types of IASL of a given graph G, which is a topological integer additive set-labeling as well as an integer additive set-graceful labeling of G.

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### Keywords

Integer additive set-labeled graphs, integer additive set-graceful graphs, topological integer additive set-labeled graph, topological integer additive set-graceful labeling of graphs