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by
N. K. Sudev,
K. A. Germina,
K. P. Chithra

International Journal of Computer Applications |

Foundation of Computer Science (FCS), NY, USA |

Volume 115 - Number 4 |

Year of Publication: 2015 |

Authors: N. K. Sudev, K. A. Germina, K. P. Chithra |

10.5120/20136-2254 |

N. K. Sudev, K. A. Germina, K. P. Chithra . Strong Integer Additive Set-Valued Graphs: A Creative Review. International Journal of Computer Applications. 115, 4 ( April 2015), 1-7. DOI=10.5120/20136-2254

@article{
10.5120/20136-2254,

author = {
N. K. Sudev,
K. A. Germina,
K. P. Chithra
},

title = { Strong Integer Additive Set-Valued Graphs: A Creative Review },

journal = {
International Journal of Computer Applications
},

issue_date = { April 2015 },

volume = { 115 },

number = { 4 },

month = { April },

year = { 2015 },

issn = { 0975-8887 },

pages = {
1-7
},

numpages = {9},

url = {
https://ijcaonline.org/archives/volume115/number4/20136-2254/
},

doi = { 10.5120/20136-2254 },

publisher = {Foundation of Computer Science (FCS), NY, USA},

address = {New York, USA}

}

%0 Journal Article

%1 2024-02-06T22:53:48.656740+05:30

%A N. K. Sudev

%A K. A. Germina

%A K. P. Chithra

%T Strong Integer Additive Set-Valued Graphs: A Creative Review

%J International Journal of Computer Applications

%@ 0975-8887

%V 115

%N 4

%P 1-7

%D 2015

%I Foundation of Computer Science (FCS), NY, USA

For a non-empty ground set X, finite or infinite, the set-valuation or set-labeling of a given graph G is an injective function f : V (G) ! P(X) such that the induced edge-function f : E(G) ! P(X) ?? f;g is defined by f (uv) = f(u) f(v) for every uv2E(G), where P(X) is the power set of the set X and is a binary operation on sets. A set-indexer of a graph G is an set-labeling f : V (G) such that the edge-function f is also injective. An integer additive set-labeling (IASL) of a graph G is defined as an injective function f : V (G) ! P(N0) such that the induced edge-function gf : E(G) ! P(N0) is defined by gf (uv) = f(u) + f(v), where N0 is the set of all non-negative integers, P(N0) is its power set and f(u)+f(v) is the sumset of the set-labels of two adjacent vertices u and v in G. An IASL f is said to be a strong IASL if jf+(uv)j = jf(u)j jf(v)j for every pair of adjacent vertices u; v in G. In this paper, the characteristics and properties of strong integer additive set-labeled graphs are critically and creatively reviewed.

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