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Topological Integer Additive Set-Graceful Graphs

by N.K. Sudev, K. P. Chithra, K.A. Germina
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 123 - Number 2
Year of Publication: 2015
Authors: N.K. Sudev, K. P. Chithra, K.A. Germina
10.5120/ijca2015905237

N.K. Sudev, K. P. Chithra, K.A. Germina . Topological Integer Additive Set-Graceful Graphs. International Journal of Computer Applications. 123, 2 ( August 2015), 1-4. DOI=10.5120/ijca2015905237

@article{ 10.5120/ijca2015905237,
author = { N.K. Sudev, K. P. Chithra, K.A. Germina },
title = { Topological Integer Additive Set-Graceful Graphs },
journal = { International Journal of Computer Applications },
issue_date = { August 2015 },
volume = { 123 },
number = { 2 },
month = { August },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume123/number2/21928-2015905237/ },
doi = { 10.5120/ijca2015905237 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:11:35.324360+05:30
%A N.K. Sudev
%A K. P. Chithra
%A K.A. Germina
%T Topological Integer Additive Set-Graceful Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 123
%N 2
%P 1-4
%D 2015
%I 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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Index Terms

Computer Science
Information Sciences

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

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