CFP last date
28 April 2025
Call for Paper
May Edition
CAE solicits high quality original research papers for the upcoming May edition of the journal. The last date of research paper submission is 28 April 2025

Submit your paper
Know more
Reseach Article

The Global Set-Domination Number in Jump Graphs

by N. Pratap Babu Rao, Swetha N.
Communications on Applied Electronics
Foundation of Computer Science (FCS), NY, USA
Volume 7 - Number 17
Year of Publication: 2018
Authors: N. Pratap Babu Rao, Swetha N.
10.5120/cae2018652771

N. Pratap Babu Rao, Swetha N. . The Global Set-Domination Number in Jump Graphs. Communications on Applied Electronics. 7, 17 ( Jun 2018), 7-8. DOI=10.5120/cae2018652771

@article{ 10.5120/cae2018652771,
author = { N. Pratap Babu Rao, Swetha N. },
title = { The Global Set-Domination Number in Jump Graphs },
journal = { Communications on Applied Electronics },
issue_date = { Jun 2018 },
volume = { 7 },
number = { 17 },
month = { Jun },
year = { 2018 },
issn = { 2394-4714 },
pages = { 7-8 },
numpages = {9},
url = { https://www.caeaccess.org/archives/volume7/number17/817-2018652771/ },
doi = { 10.5120/cae2018652771 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-09-04T20:02:08.485671+05:30
%A N. Pratap Babu Rao
%A Swetha N.
%T The Global Set-Domination Number in Jump Graphs
%J Communications on Applied Electronics
%@ 2394-4714
%V 7
%N 17
%P 7-8
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Let J(G) be a co-connected jump graph. A set D ⊂ V(J(G)-D is a set dominating set (sd-set) if for every S ⊂ V(J(G)-D there exists a non empty set T ⊂ D such that the sub graph (S ∪ T) is connected. Further D is a global set dominating set, if D is an sd-set of both J(G) and J(G). The set domination number √s and the global set domination number √sg of J(G) are defined as expected.

References
  1. Jean Dunbar,R.C Laskar and Ted Monroe,Congr,Numer.85(1991) 67-72
  2. S.T. Hedetniemi and Renu Laskar, in Graph theory and combinatorics,ed B.Bollobas,Academic press London 1984,pp 209-218
  3. D.F. Rall, congr.Numer 80(1991)89-95
  4. E. Sampathkumar, J. Math. Phys.Sci.23(1989)377-385
  5. E. Sampathkumar and L.Pushpa Latha, J. Graph Theory 18(No.1)1994,to appear.
  6. E. Sampathkumar and H.B Walikar J. Math. Phys. Sci 13 (6) (1979), 607-613.
Index Terms

Computer Science
Information Sciences

Keywords

Set domination global set domination number