Glorious Era of Glorious Glitterness in
Golden Graphs

Sreejil K; Rajakumari N

doi:https://doi.org/10.14445/22315373/IJMTT-V61P530

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P530

Glorious Era of Glorious Glitterness in Golden Graphs

Sreejil K, Rajakumari N

Citation :

Sreejil K, Rajakumari N, "Glorious Era of Glorious Glitterness in Golden Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 216-219, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P530

Abstract

A relentless endeavour to traverse deeply into the details of definition of golden graphs are acquiring shape as concrete projects, which serve as a building block for solid structures of co-operation of pure golden graphs. It makes us mesmerized to see the seeds of transforming the characterized for a cyclic groups as pure golden graphs. Embarking on the wonderous journey generated, infinite class of pn, a path on ‘n’ nodes as golden graphs. The destinies of this are embedded in more than one way.

Keywords

Trees, Paths, adjacency matrix, characteristic polynomial of a graph H and Golden ratio.

References

[1] D.M. Cvetkovic, M. Doob,and H. Sachs, Spectra of graphs, Acadmec press , New York , 1979.
[2] Diestel R. Graph Theory. New York: Springer-Verlag; 2000
[3] M. Doob, Graphs with a small number of distinct eigen values, Ann. N.Y. Acad.Sci. 175:104-110(1970).
[4] A. J. Hoffman , Some results on spectral properties of graphs, Beitrage Zur Graphentheorie (Kolloquium, Manebach, 1967) Leipzig, !968, 75-80.
[5] Livio M. The golden ratio: The story ofPhi, the world most astonishing number. New York: Broadway Books; 2002.
[6] L. Lovasz and J.Pelikan ,On the eigen values of trees, Periodica Mathmatica Hungarica Vol. 3 (1-2), 1973, pp. 175-182