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

International Journal of Computer Applications |

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

Volume 118 - Number 1 |

Year of Publication: 2015 |

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

10.5120/20706-3025 |

K. P. Chithra, K. A. Germina, N. K. Sudev . On the Sparing Number of the Edge-Corona of Graphs. International Journal of Computer Applications. 118, 1 ( May 2015), 1-5. DOI=10.5120/20706-3025

@article{
10.5120/20706-3025,

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

title = { On the Sparing Number of the Edge-Corona of Graphs },

journal = {
International Journal of Computer Applications
},

issue_date = { May 2015 },

volume = { 118 },

number = { 1 },

month = { May },

year = { 2015 },

issn = { 0975-8887 },

pages = {
1-5
},

numpages = {9},

url = {
https://ijcaonline.org/archives/volume118/number1/20706-3025/
},

doi = { 10.5120/20706-3025 },

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

address = {New York, USA}

}

%0 Journal Article

%1 2024-02-06T23:02:47.342145+05:30

%A K. P. Chithra

%A K. A. Germina

%A N. K. Sudev

%T On the Sparing Number of the Edge-Corona of Graphs

%J International Journal of Computer Applications

%@ 0975-8887

%V 118

%N 1

%P 1-5

%D 2015

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

Let N0 be the set of all non-negative integers and P(N0) be its the power set. An integer additive set-indexer (IASI) of a graph G is an injective function f : V (G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) defined by f+(uv) = f(u) + f(v) is also injective, where f(u) + f(v) is the sum set of f(u) and f(v). An integer additive set-indexer f is said to be a weak integer additive set-indexer (weak IASI) if jf+(uv)j = max(jf(u)j; jf(v)j) 8 uv 2 E(G). The minimum number of singleton set-labeled edges required for the graph G to admit a weak IASI is called the sparing number of the graph. In this paper, we discuss the admissibility of weak IASI by a particular type of graph product called the edge corona of two given graphs and determine the sparing number of the edge corona of certain graphs.

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