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
From page
445
To page
456
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
Record number
2741105
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