Square difference labeling of some union and disjoint union graphs
Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 294-302

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with methods of constructing square difference labeling of caterpillars and graphs derived from two operations: path union of cycles and disjoint union of stars. The existence of the square difference labeling of disjoint union of any $ \mathrm{SD}$ graph with path is proved.
Keywords: square difference labeling, the square difference graph, caterpillar, disjoint union of graphs.
Zoya Sherman. Square difference labeling of some union and disjoint union graphs. Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 294-302. http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a8/
@article{ADM_2018_25_2_a8,
     author = {Zoya Sherman},
     title = {Square difference labeling of some union and disjoint union graphs},
     journal = {Algebra and discrete mathematics},
     pages = {294--302},
     year = {2018},
     volume = {25},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a8/}
}
TY  - JOUR
AU  - Zoya Sherman
TI  - Square difference labeling of some union and disjoint union graphs
JO  - Algebra and discrete mathematics
PY  - 2018
SP  - 294
EP  - 302
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a8/
LA  - en
ID  - ADM_2018_25_2_a8
ER  - 
%0 Journal Article
%A Zoya Sherman
%T Square difference labeling of some union and disjoint union graphs
%J Algebra and discrete mathematics
%D 2018
%P 294-302
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a8/
%G en
%F ADM_2018_25_2_a8

[1] V. Ajitha, K. L. Princy, V. Lokesha and P. S. Ranjini, “On square difference Graphs”, International Journal of Mathematical Combinatorics, 1:1 (2012), 31–40 | Zbl

[2] T. Tharmaraj, P. B. Sarasija, “Square difference Labeling for Certain Graphs”, International Journal of Mathematical Archive, 4:8 (2013), 183–186

[3] T. Tharmaraj, P. B. Sarasija, “Square difference Labeling of Some Union Graphs”, International Journal of Mathematics Trends and Technology, 11:11 (2014), 81–88

[4] J. Shiama, “Square difference labeling for some path, fan and gear graphs”, International Journal of Scientific and Engineering Research, 4 (2013), 1–9

[5] J. A. Gallian, “A dynamic survey of graph labeling”, The Electronic Journal of Combinatorics, 18 (2011), #DS6 | MR

[6] F. Harary, Graph Theory, Addison Wesley, Reading, Massachusetts, 1969 | MR | Zbl

[7] G. A. Donets, D. A. Petrenko, “Building T-factorizations of the complete graph and the problem Rosa”, International Journal of Control systems and machines, 4 (2010), 21–24

[8] S. G. Telang, Number Theory, ed. Sixth edition, TATA McGRAW-HILL, 1996 | Zbl