%0 Journal Article
%T Normalized distance Laplacian matrices for signed graphs
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A ROY, ROSHNI T
%A K A, Germina
%A K, Shahul Hameed
%D 2023
%\ 09/01/2023
%V 8
%N 3
%P 445-456
%! Normalized distance Laplacian matrices for signed graphs
%K Signed graphs
%K Weighted signed graphs
%K Normalized distance Laplacian matrix
%K Normalized distance Laplacian spectrum
%R 10.22049/cco.2022.27514.1282
%X 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.
%U https://comb-opt.azaruniv.ac.ir/article_14391_c66c8a9abab76abb8f61f607986a6b5a.pdf