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Operations on Graphs and its Minimum Diameter Spanning Tree
V.T. Chandrasekaran1 , N. Rajasri2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.144-148, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.144148
Online published on Jun 30, 2019
Copyright © V.T. Chandrasekaran, N. Rajasri . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: V.T. Chandrasekaran, N. Rajasri, “Operations on Graphs and its Minimum Diameter Spanning Tree,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.144-148, 2019.
MLA Style Citation: V.T. Chandrasekaran, N. Rajasri "Operations on Graphs and its Minimum Diameter Spanning Tree." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 144-148.
APA Style Citation: V.T. Chandrasekaran, N. Rajasri, (2019). Operations on Graphs and its Minimum Diameter Spanning Tree. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 144-148.
BibTex Style Citation:
@article{Chandrasekaran_2019,
author = {V.T. Chandrasekaran, N. Rajasri},
title = {Operations on Graphs and its Minimum Diameter Spanning Tree},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {144-148},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1381},
doi = {https://doi.org/10.26438/ijcse/v6i3.144148}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.144148}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1381
TI - Operations on Graphs and its Minimum Diameter Spanning Tree
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - V.T. Chandrasekaran, N. Rajasri
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 144-148
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this paper we present dominating sets, minimum diameter spanning tree for operations on graphs. We find out the minimum diameter spanning tree through the graph of which have a minimum diameter spanning tree such that both have same domination number. The spanning tree of the simple connected graph is said to be a minimum diameter spanning tree. if there is no other spanning tree ` of such that . The diameter of a graph is length of the shortest path between the most distance node.
Key-Words / Index Term :
Domination, Diameter, Ladder graph, Grid graph, star graph, Path, Spanning tree, Cartesian product, co-normal product, lexico graphic product, and union, sum
References :
[1] V.T Chandrasekaran, and N.Rajasri minimum diameter spanning tree, American journal of computational mathematics, 2018, 8, 203 – 208.
[2] Michael S. Jacobson and Lael F. Kinch On the Domination of the Products of Graphs
[3] S.Arumugam and S. Ramachandran, Invitation to Graph theory, copyright @2001 scitch puplications (india) pvt Ltd.
[4] Haray, F. (1969) Graph Theory. Addsion Wesley, Reading, MA.
https://doi.org/10.21236/AD0705364
[5] P.Sharifani ,M.R Hooshmandasl and M.Alambardar Meybodi An explicit construction of optimal dominating and dominating sets in grid.arXiv:1707.0647v3[cs.DM] 2018
[6] Samu Alanko, Simon Crevils, Andon Isopoussu, Patric Ostergard and Ville
Pettersson computing the domination number of grid graphs. The Electronic Journal of Combinatorics 18(2011),# p141
[7] SHEHID UR REHMAN, I.JAVAID. Fixing number of co normal product of graphs :https://www.reserachgate.net/publication/314182293.arXiv: 1703.00709V1.
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