• A NOTE ON COLOR ENERGY AND COLOR LAPLACIAN ENERGY OF GRAPHS

SHIGEHALLI V. S., KENCHAPPA S. BETAGERI*

Abstract


We have defined color Laplacian energy of graphs and proved many results about color Laplacian energy and established relationships between color eigenvalues, color Laplacian eigenvalues of a graphs in [5]. In this paper we obtained new lower bonds for color energy and color Laplacian energy of graphs and obtained various bounds for color eigenvalues and color Laplacian eigenvalues of . We also obtained a bound for i.e.,  and  is the best possible bound.


Keywords


Color Eigenvalues and Color Energy, Color Laplacian eigenvalues, color Laplacian energy.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2020 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter