Full Paper View Go Back
Gaussian Prime Labeling of Some Cycle Related Graphs
N.P.Shrimali 1 , S.K.Singh 2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.6 , pp.294-300, Dec-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i6.294300
Online published on Dec 31, 2018
Copyright © N.P.Shrimali, S.K.Singh . 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.
View this paper at Google Scholar | DPI Digital Library
How to Cite this Paper
- IEEE Citation
- MLA Citation
- APA Citation
- BibTex Citation
- RIS Citation
IEEE Style Citation: N.P.Shrimali, S.K.Singh, “Gaussian Prime Labeling of Some Cycle Related Graphs,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.294-300, 2018.
MLA Style Citation: N.P.Shrimali, S.K.Singh "Gaussian Prime Labeling of Some Cycle Related Graphs." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 294-300.
APA Style Citation: N.P.Shrimali, S.K.Singh, (2018). Gaussian Prime Labeling of Some Cycle Related Graphs. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 294-300.
BibTex Style Citation:
@article{_2018,
author = {N.P.Shrimali, S.K.Singh},
title = {Gaussian Prime Labeling of Some Cycle Related Graphs},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2018},
volume = {5},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {294-300},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1008},
doi = {https://doi.org/10.26438/ijcse/v5i6.294300}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.294300}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1008
TI - Gaussian Prime Labeling of Some Cycle Related Graphs
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - N.P.Shrimali, S.K.Singh
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 294-300
IS - 6
VL - 5
SN - 2347-2693
ER -
184 Views
179 Downloads
140 Downloads
Abstract :
Gaussian Prime labeling is a bijection from the set of vertices of graph of order to the first ’ ’ Gaussian integers in the spiral ordering such that images of adjacent vertices are relatively prime. A graph is called Gaussian prime graph if admits Gaussian prime labeling. In this paper, we examine Gaussian prime labeling of some cycle related graphs and union of some cycle graphs.
Key-Words / Index Term :
Gaussian integers, spiral order of Gaussian integers, Gaussian prime labeling
References :
[1] H. Lehmann and A. Park, Prime labeling of small trees with Gaussian integers, Rose-Hulman Undergraduate Mathematics Journal, Vol. 17(1), pp.72-97, 2016.
[2] S. Klee, H. Lehmann, and A. Park, Prime labeling of families of trees with Gaussian integers, AKCE International Journal of Graphs and Combinatorics, Vol. 13(2), pp. 165-176, 2016.
[3] Hung-Lin Fu, Kuo-Ching Huang, On Prime labellings, Discrete Mathematics, Vol. 127, pp. 181-186, 1994.
[4] J. Gross and J. Yellen, Graph theory and its applications, CRC press, (1999).
[5] D.M. Burton, Elementary Number Theory, Tata McGraw Hill, 1990.
[6] S.K. Patel, On Prime labeling of union of cycle graphs, Mathematics Today, Vol. 30, pp. 75-82, 2014.
[7] S.K. Patel, J. Vasava, On Prime labeling of some union graphs, Kragujevac Journal of mathematics, Vol. 42(3), pp. 441-452, 2018.
[8] J. Gallian, A dynamic survey of graph labeling, The Electronic Journal of Combinatorics, Vol. 17, 2016.
[9] S.K. Vaidya, K.K. Kanani, Prime labeling for some cycle related graphs, Journal of Mathematics research, 2(2), 98-103, 2010.
[10] L.Robertson, B. Small, On Newman’s conjecture and prime trees, Integers, Vol. 9, pp. 117-128, 2009.
You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at support@isroset.org or view contact page for more details.
