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Normalized distance Laplacian matrices for signed graphs | ||
Communications in Combinatorics and Optimization | ||
مقاله 1، دوره 8، شماره 3، آذر 2023، صفحه 445-456 اصل مقاله (405.91 K) | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2022.27514.1282 | ||
نویسندگان | ||
ROSHNI T ROY* 1؛ Germina K A2؛ Shahul Hameed K3 | ||
1RESEARCH SCHOLAR DEPARTMENT OF MATHEMATICS CENTRAL UNIVERSITY OF KERALA KASARAGOD, INDIA | ||
2Central University of Kerala, Kasaragod, India | ||
3Associate Professor, Department of Mathematics, K M M Government Women's College, Kannur, India. | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Signed graphs؛ Weighted signed graphs؛ Normalized distance Laplacian matrix؛ Normalized distance Laplacian spectrum | ||
مراجع | ||
[1] F. Chung, Spectral Graph Theory, AMS, Providence, RI, 1997.
[2] S. Hameed K, T.V. Shijin, P. Soorya, K.A. Germina, and T. Zaslavsky, Signed distance in signed graphs, Linear Algebra Appl. 608 (2021), 236–247.
[3] F. Harary, Graph Theory, Addison Wesley, Reading, Mass., 1969.
[4] Y. Hou, J. Li, and Y. Pan, On the Laplacian eigenvalues of signed graphs, Linear Multilinear Alg. 51 (2003), no. 1, 21–30.
[5] H.-h. Li and J.-sh. Li, Note on the normalized Laplacian eigenvalues of signed graphs, Australas. J. Combin. 44 (2009), 153–162.
[6] H.S. Li and H.H. Li, A note on the least (normalized) Laplacian eigenvalue of signed graphs, Tamkang J. Math. 47 (2016), no. 3, 271–278.
[7] S. Pirzada and S. Khan, On distance Laplacian spectral radius and chromatic number of graphs, Linear Algebra Appl. 625 (2021), 44–54.
[8] C. Reinhart, The normalized distance Laplacian, Special Matrices 9 (2021), no. 1, 1–18.
[9] R.T. Roy, K.A. Germina, S. Hameed K, and T. Zaslavsky, Signed distance Laplacian matrices for signed graphs, (2020), communicated.
[10] T. Zaslavsky, Signed graphs, Discrete Appl. Math. 4 (1982), no. 1, 47–74.
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