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T.V., Shijin, P., Soorya, K., Shahul, K. A., Germina. (1401). On the distance spectra of product of signed graphs. , 8(1), 67-76. doi: 10.22049/cco.2021.27304.1227
Shijin T.V.; Soorya P.; Shahul Hameed K.; Germina K. A.. "On the distance spectra of product of signed graphs". , 8, 1, 1401, 67-76. doi: 10.22049/cco.2021.27304.1227
T.V., Shijin, P., Soorya, K., Shahul, K. A., Germina. (1401). 'On the distance spectra of product of signed graphs', , 8(1), pp. 67-76. doi: 10.22049/cco.2021.27304.1227
T.V., Shijin, P., Soorya, K., Shahul, K. A., Germina. On the distance spectra of product of signed graphs. , 1401; 8(1): 67-76. doi: 10.22049/cco.2021.27304.1227

On the distance spectra of product of signed graphs

Communications in Combinatorics and Optimization
مقاله 6، دوره 8، شماره 1، خرداد 2023، صفحه 67-76    اصل مقاله (383.79 K)
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2021.27304.1227
نویسندگان
Shijin T.V.* 1؛ Soorya P.1؛ Shahul Hameed K.2؛ Germina K. A.3
1Department of Mathematics, Central University of Kerala, Kasaragod, India.
2Department of Mathematics, K M M Government Women's College, Kannur, India.
3Department of Mathematics, Central University of Kerala, Kasaragod, India
چکیده
In this article, we study the distance matrix of the product of signed graphs such as the Cartesian product and the lexicographic product in terms of the signed distance matrices of the factor graphs. Also, we discuss the signed distance spectra of some special classes of product of signed graphs.
کلیدواژه‌ها
Signed graph؛ Signed distance matrix؛ Signed distance spectrum؛ Product of signed graphs
مراجع
[1] P.J. Davis, Circulant Matrices, Wiley, New York, 1979.

[2] K.A. Germina and T. Zaslavsky, On products and line graphs of signed graphs, their eigenvalues and energy, Linear Algebra Appl. 435 (2011), no. 10, 2432–2450.

[3] Shahul K. Hameed, T.V. Shijin, P. Soorya, K.A. Germina, and T. Zaslavsky, Signed distance in signed graphs, Linear Algebra Appl. 608 (2021), 236–247.

[4] F. Harary, Graph Theory, Addison-Wesley Publishing Co., 1969.

[5] K. Shahul Hameed and K. Germina, On composition of signed graphs, Discuss. Math. Graph Theory 32 (2012), no. 3, 507–516.

[6] T.V. Shijin, P. Soorya, K Shahul Hameed, and K.A. Germina, On distance compatibility in product of signed graphss, (communicated).

[7] T. Zaslavsky, Six signed petersen graphs, and their automorphisms, Discrete Math. 312 (2012), no. 9, 1558–1583.

[8] F. Zhang, Matrix Theory: Basic Results and Techniques, Springer–Verlag, 1999.

 

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