**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31105

##### On Detour Spectra of Some Graphs

**Authors:**
S.K.Ayyaswamy,
S.Balachandran

**Abstract:**

**Keywords:**
Detour eigenvalue (of a graph),
detour spectrum(of a graph),
detour energy(of a graph),
detour - equienergetic graphs

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1060747

**References:**

[1] N. Alon, Eigenvalues and expanders,Combinatorica. 6(1986), 83-96.

[2] R. Balakrishnan,K. Renganathan, A Text book of Graph Theory,Springer, Newyork, 2000.

[3] Z.Chen, Spectra of extended double cover graphs,Czechoslovak Math. J. 54(2004),1077-1082.

[4] D.Cvetkovic, M. Doob, H. Saches, Spectra of Graphs- Theory and Application, third ed., Johann Ambrosius Barth Verlag, Heidelberg, Leipzig, 1995.

[5] P. J. Davis, Circulant Matrices, Wiley, New york, 1979.

[6] F. Harary , Graph Theory, Addision-Wesley, Reading, Massachusetts, (1969).

[7] G. Indulal, I. Gutman, On the distance spectra of some graphs, Mathematical Communications 13(2008), 123-131.

[8] Milan Randic, Luc M. DeAlba and Frank E. Harris, Graphs with the Same Detour Matrix, Croatica Chemica Acta, CCACAA 71 (1) 53-68 (1998).

[9] Mircea V. Diudea, Gabrial Katona, Istvan Lukovits, Nenad Trinajstic, Detour and Cluj-Detour Indices, Croatica Chemica Acta, CCACAA 71 (3) 459-471 (1998).

[10] Mircea V. Diudea, Valencies of Property, Croatica Chemica Acta, CCACAA 72 (4) 835-851 (1999).