# ON SPECTRA OF TERMINAL D-DISTANCE MATRIX OF SOME CLASS OF GRAPHS

## Main Article Content

## Abstract

In this paper we consider simple graphs, all the vertices with degree one are known as pendent vertices or terminal vertices of a graph. For two terminals vertices of a graph G D-distance is addition of the distance between and the sum of degrees of all the vertices of path , including degrees of . This paper consists of definition of terminal D-distance matrix and computation of terminal D-distance energy of few class of graphs. Bounds on Terminal-D-distance energy are also established.

Keywords:

D-distance, spectra, terminal vertex, terminal matrix, energy, bounds

## Article Details

How to Cite

*Asian Journal of Mathematics and Computer Research*,

*28*(2), 8-15. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/6422

Section

Original Research Article

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Randic M, Zupan J, Vikic-Topic D. On representation of properties by star like graphs. J. Mol. Graphics and Modelling. 2007;26:290-305.

Indulal G, Gutman I, Vijaykumar A. On the distance energy of graphs. MATCH commun. Math. Comput. Chem. 2008;60:461–472.

Hampiholi PR, Anjana S Joshi, Vinaya V Deshpande. On minimum hub D-distance Spectra of some graphs. International Journal of Mathematics Trends and Technology. 2020;66(12):44-54.

Prabhakar R. Hampiholi, Anjana S. Joshi, Jotiba P. Kitturkar. On spectra of D-eccentricity matrix of some graphs. int. J. Math. And Appl. 2020;8(4):59–68.

Jog S, Gurjar J. Degree product distance energy of some graphs. Asian Journal of Mathematics and Computer Research. 2018;24(1):42-49.

Durgi BS, Hampiholi PR, Mekkalike SM. Distance spectra and distance energy of some cluster graphs. Mathematica Aeterna. 2014;4(8):817–825.

Ramane HS, Patil JB, Revenkar DS. terminal distance energy of graph. International Journal of Graph Theory. 2013;3:82-87.

Reddy Babu D, Varma PLN. D-distance in graphs. Golden Research Thoughts. 2013;2:53–58.

Hovart B. On the calculation of the terminal polynomial of a star like graph. Croat. Chem. Acta. 2009;82:679-684.

Hovart B, Pisanski T, Ranic. Terminal polynomials and star like graphs. MATCH Commun. Math. Compu. Chem. 2008;60:493-512.