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?-Graceful Labeling In the Perspective of Graph Operations on Bistar

Mehul Chaurasiya1 , Mehul Rupani2

Section:Research Paper, Product Type: Journal Paper
Volume-9 , Issue-1 , Page no. 36-39, Jan-2021

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v9i1.3639

Online published on Jan 31, 2021

Copyright © Mehul Chaurasiya, Mehul Rupani . 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: Mehul Chaurasiya, Mehul Rupani, “?-Graceful Labeling In the Perspective of Graph Operations on Bistar,” International Journal of Computer Sciences and Engineering, Vol.9, Issue.1, pp.36-39, 2021.

MLA Style Citation: Mehul Chaurasiya, Mehul Rupani "?-Graceful Labeling In the Perspective of Graph Operations on Bistar." International Journal of Computer Sciences and Engineering 9.1 (2021): 36-39.

APA Style Citation: Mehul Chaurasiya, Mehul Rupani, (2021). ?-Graceful Labeling In the Perspective of Graph Operations on Bistar. International Journal of Computer Sciences and Engineering, 9(1), 36-39.

BibTex Style Citation:
@article{Chaurasiya_2021,
author = {Mehul Chaurasiya, Mehul Rupani},
title = {?-Graceful Labeling In the Perspective of Graph Operations on Bistar},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {1 2021},
volume = {9},
Issue = {1},
month = {1},
year = {2021},
issn = {2347-2693},
pages = {36-39},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=5292},
doi = {https://doi.org/10.26438/ijcse/v9i1.3639}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v9i1.3639}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=5292
TI - ?-Graceful Labeling In the Perspective of Graph Operations on Bistar
T2 - International Journal of Computer Sciences and Engineering
AU - Mehul Chaurasiya, Mehul Rupani
PY - 2021
DA - 2021/01/31
PB - IJCSE, Indore, INDIA
SP - 36-39
IS - 1
VL - 9
SN - 2347-2693
ER -

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Abstract

A ?-graceful labelling of a graph G =(V,E) , if a function f:V(G)?{0,1,2,…,n-1} is an injective function and the induced function f^*:E(G)?N is defined by f^* (e=mn)=2{f(m)+f(n)};where ?mn?E(G), then the resultant edge labels are distinct[3]. Here we discuss about some basic graph like as splitting graph of bistarB_(n,m),degree splitting graph of bistarB_(n,m),shadow graph of bistarB_(n,m),restricted square graph of bistar B_(n,m), barycentric sub division of bistarB_(n,m)and corona product ofbistarB_(n,m)with K1 admits?- graceful labelling.

Key-Words / Index Term

Graceful labeling, Bistar Graph, Injective function

References

[1]. M.I.Bosamia, K.K.Kanani, “Divisor cordial labeling in the context of graph operations on Bistar”, Global Journal of Pure and Applied Mathematics, Volume 12, Number 3, pp.2605-2618, 2016.
[2]. I.Cahit, Cordial Graphs, “Aweakerversion of graceful and harmonious graphs”, Ars Combinatoria, 23, pp.201–207, 1987
[3]. M.Chaurasiya, M.Rupani, S.Khunti, “?-graceful labeling of merge graph,bistar graph,friendship graph,C_d^n relation graph”, International journal of Technical Innovation in Modern Engineering & Science,Vol.6, Issue 11, pp.7-14, Nov-2020.
[4]. J.A. Gallian, “A Dynamic Survey of graph labeling”, The Electronics Journal of Combinatorics, Dec 20, 2013.
[5]. J. Gross and J. Yellen, Handbook of Graph Theory, CRC Press, 2004.
[6]. R.Uma ,S.Divya , “Cube difference labeling of star related graphs”, International Journal Of Scientific Research In Computer Science, Engineering and Information Technology, 2(4), pp.298- 301, 2017.
[7]. R.Varatharajan, S.Navanaeethakrishnan, K.Nagarajan, “Divisor cordial graphs”, International Journal of Mathematical Combinatorics, 4, pp.15–25, 2011.