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Centroidal, Logarithmic and Identric Mean Labeling of Graphs
Alagu S.1 , R. Kala2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.2 , pp.203-206, Apr-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i2.203206
Online published on Apr 30, 2019
Copyright © Alagu S., R. Kala . 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: Alagu S., R. Kala, “Centroidal, Logarithmic and Identric Mean Labeling of Graphs,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.203-206, 2019.
MLA Style Citation: Alagu S., R. Kala "Centroidal, Logarithmic and Identric Mean Labeling of Graphs." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 203-206.
APA Style Citation: Alagu S., R. Kala, (2019). Centroidal, Logarithmic and Identric Mean Labeling of Graphs. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 203-206.
BibTex Style Citation:
@article{S._2019,
author = {Alagu S., R. Kala},
title = {Centroidal, Logarithmic and Identric Mean Labeling of Graphs},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {203-206},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1233},
doi = {https://doi.org/10.26438/ijcse/v6i2.203206}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.203206}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1233
TI - Centroidal, Logarithmic and Identric Mean Labeling of Graphs
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Alagu S., R. Kala
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 203-206
IS - 2
VL - 6
SN - 2347-2693
ER -
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Abstract :
Graph labeling was first introduced by Rosa in 1966 [1]. Labeling of graphs is an assignment of non-negative integers to vertices, edges or both according to some specified conditions. Mean labeling of graphs was introduced by Somasundaram.S and Ponraj.R in 2003[2]&[3]. Subsequently, labelings of graphs were done with geometric mean, harmonic mean etc.,. We have already introduced Centroidal mean labeling[4], Logarithmic and Identric mean labeling of graphs[5]. In this paper we acquire these mean labelings for some more standard graphs.
MSC 2000 : 05C78, 05C38
Key-Words / Index Term :
Centroidal Mean, Logarithmic Mean, Identric Mean, Labeling, Mean graphs, Centroidal mean labeling, Logarithmic mean labeling, Identric mean labeling
References :
[1]. Rosa. A, On Certain Valuations of the Vertices of a Graph, Theory of Graphs (International Symposium, Rome July 1996, Gordon and Breach, NV and Dunod Paris), (1967), 349-355.
[2]. Somasundaram. S and Ponraj. R, Mean Labeling of Graphs, National Academy Science Letters, 26(2003) pp.210-213.
[3]. Somasundaram. S and Ponraj. R, Some results on mean graphs, Pure and Applied Mathematika Sciences, 58(2003), 29-35.
[4]. Alagu. S and R. Kala, Centroidal Mean Labeling of graphs, Far East Journal of Mathematical Sciences (To appear)
[5]. Alagu. S and R. Kala, Logarithmic and Identric Mean Labeling of Graphs (Communicated)
[6]. Gallian. J.A , A Dynamic Survey of Graph Labeling, The Electronic Journal of Combinatorics, (DS6)(2012).
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