Title of article :
Normalized distance Laplacian matrices for signed graphs
Author/Authors :
ROY ، Roshni T. Department of Mathematics - Central University of Kerala , Germin ، K.A. Department of Mathematics - Central University of Kerala , K ، Shahul Hameed Department of Mathematics - K.M.M. Govt. Women s College
Abstract :
In this paper, we introduce the notion of normalized distance Laplacian matrices for signed graphs corresponding to the two signed distances defined for signed graphs. We characterize balance in signed graphs using these matrices and compare the normalized distance Laplacian spectral radius of signed graphs with that of all-negative signed graphs. Also we characterize the signed graphs having maximum normalized distance Laplacian spectral radius.
Keywords :
Signed graphs , Weighted signed graphs , Normalized distance Laplacian matrix , Normalized distance Laplacian spectrum
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
