Geodesic
Energy of Smith graphs
Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 267-272 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this manuscript, we have evaluated the energies of Smith graphs. In the course of the investigation, we found that only one Smith graph is hypo-energetic. Moreover, we have also established the energy bounds for Smith graphs.
Keywords: eigenvalue, energy, Smith graphs, hypoenergetic graph. 
@article{ADM_2020_30_2_a9,
     author = {P. Sharma and R. Naresh and U. Sharma},
     title = {Energy of {Smith} graphs},
     journal = {Algebra and discrete mathematics},
     pages = {267--272},
     year = {2020},
     volume = {30},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a9/}
}
TY  - JOUR
AU  - P. Sharma
AU  - R. Naresh
AU  - U. Sharma
TI  - Energy of Smith graphs
JO  - Algebra and discrete mathematics
PY  - 2020
SP  - 267
EP  - 272
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a9/
LA  - en
ID  - ADM_2020_30_2_a9
ER  - 
%0 Journal Article
%A P. Sharma
%A R. Naresh
%A U. Sharma
%T Energy of Smith graphs
%J Algebra and discrete mathematics
%D 2020
%P 267-272
%V 30
%N 2
%U http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a9/
%G en
%F ADM_2020_30_2_a9
P. Sharma; R. Naresh; U. Sharma. Energy of Smith graphs. Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 267-272. http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a9/

[1] Balaban A.T., “Some Chemical Applications of Graph Theory”, Match., 1 (1975), 33–60 | MR

[2] Cvetkovic D.M., Doob M.S. and Sachs H., Spectra of Graphs: Theory and Applications, Pure and Applied Mathematics, 87, Academic Press Inc., New York–London, 1980 | MR

[3] Dokuchaev M.A., Gubareni N.M., Futorny V.M., Khibina M. A., Kirichenko V.V., “Dynkin diagrams and spectra of graphs”, São Paulo Journal of Mathematical Sciences, 7:1 (2013), 83–104 | DOI | MR | Zbl

[4] Harary F., Graph Theory, Addison-Wesley, Reading M.A., 1969 | MR | Zbl

[5] I. Gutman, “The energy of a graph”, Ber. Math. Statist. Sekt. Forschungsz. Graz, 103 (1978), 1–22 | MR

[6] Majstorovic S., Klobucar A., Gutman I., “Selected Topics from the Theory of Graph Energy: Hypoenergetic Graphs”, Zbornik Radova, 21 (2009), 65–106 | MR