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On Prime Labeling Of Some Union Graphs and Circulant Graphs

S.K. Patel1 , J.B. Vasava2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.248-254, Dec-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.248254


Online published on Dec 31, 2018


Copyright © S.K. Patel, J.B. Vasava . 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: S.K. Patel, J.B. Vasava, “On Prime Labeling Of Some Union Graphs and Circulant Graphs,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.248-254, 2018.

MLA Style Citation: S.K. Patel, J.B. Vasava "On Prime Labeling Of Some Union Graphs and Circulant Graphs." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 248-254.

APA Style Citation: S.K. Patel, J.B. Vasava, (2018). On Prime Labeling Of Some Union Graphs and Circulant Graphs. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 248-254.

BibTex Style Citation:
@article{Patel_2018,
author = {S.K. Patel, J.B. Vasava},
title = {On Prime Labeling Of Some Union Graphs and Circulant 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 = {248-254},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1000},
doi = {https://doi.org/10.26438/ijcse/v5i6.248254}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.248254}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1000
TI - On Prime Labeling Of Some Union Graphs and Circulant Graphs
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S.K. Patel, J.B. Vasava
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 248-254
IS - 6
VL - 5
SN - 2347-2693
ER -

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Abstract :
A graph G of order n is said to admit prime labeling if its vertices can be labeled with distinct positive integers not exceeding n such that each pair of adjacent vertices have relatively prime labels. A graph G that admits a prime labeling is called a prime graph. In this paper we investigate for prime labeling of some union graphs and later study some necessary and sufficient conditions for prime labeling of certain circulant graphs.

Key-Words / Index Term :
Prime labeling, Prime graphs, Independence number, Union of graphs, Circulant graphs

References :
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[2] D. M. Burton, “Elementary Number Theory”, Brown Publishers, Second Edition, 1990.
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[4] M. Sundaram, R. Ponraj and S. Somasundaram, “Prime cordial labeling of graphs”, J. Indian Acad.Math., Vol. 27, pp. 373–390, 2005.
[5] S. K. Patel and N. P. Shrimali, “Neighborhood-prime labeling”, International Journal of Mathematics and Soft Computing, Vol. 5, pp. 17–25, 2015.
[6] J. A. Gallian, “A dynamic survey of graph labeling”, Electron. J. Combin., 2017.
[7] Hung-Lin Fu and Kuo-Ching Huang, “On prime labelling”, Discrete Math.,Vol. 127, pp. 181–186, 1994.
[8] M. A. Seoud and M. Z. Youssef, “On prime labelings of graphs”, Congr. Numer., Vol. 141, pp. 203-215, 1999.
[9] S. K. Patel and Jayesh Vasava, “On prime labeling of some union graphs”, Kragujevac journal of Mathematics, Vol. 42, pp. 441-452, 2018.
[10] M. A. Seoud, A. T. Diab, and E. A. Elsahawi, “On strongly-C harmonious, relatively prime, odd graceful and cordial graphs”, Proc. Math. Phys. Soc. Egypt, Vol. 73, pp. 33-55, 1998.

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