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

Main Article Content

P. R. HAMPIHOLI
ANJANA S. JOSHI
https://orcid.org/0000-0002-0198-3294
P. V. ADHYAPAK
S. R. KABBUR

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
HAMPIHOLI, P. R., JOSHI, A. S., ADHYAPAK, P. V., & KABBUR, S. R. (2021). ON SPECTRA OF TERMINAL D-DISTANCE MATRIX OF SOME CLASS OF GRAPHS. Asian Journal of Mathematics and Computer Research, 28(2), 8-15. Retrieved from https://ikpresse.com/index.php/AJOMCOR/article/view/6422
Section
Original Research Article

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