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Vector valued switching in the products of signed graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 مهر 1402 اصل مقاله (432.92 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28758.1703 | ||
| نویسندگان | ||
| Albin Mathew* 1؛ Germina K. A2 | ||
| 1Department of Mathematics, Central University of Kerala, Kasaragod District, Kerala. | ||
| 2Central University of Kerala, Kasaragod, India | ||
| چکیده | ||
| A signed graph is a graph whose edges are labeled either as positive or negative. The concepts of vector valued switching and balancing dimension of signed graphs were introduced by S. Hameed et al. In this paper, we deal with the balancing dimension of various products of signed graphs, namely the Cartesian product, the lexicographic product, the tensor product, and the strong product. | ||
| کلیدواژه‌ها | ||
| Signed graph؛ vector valued switching؛ balancing dimension؛ product of signed graphs | ||
| مراجع | ||
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[7] D. Lajou, On Cartesian products of signed graphs, Discrete Appl. Math. 319 (2022), 533–555. https://doi.org/10.1016/j.dam.2021.03.023 [8] V. Mishra, Graphs associated with (0, 1) and (0, 1, −1) matrices, Phd thesis, IIT Bombay, 1974.
[9] D. Sinha and P. Garg, Balance and antibalance of the tensor product of two signed graphs, Thai J. Math. 12 (2013), no. 2, 303–311.
[10] T. Zaslavsky, Signed graphs, Discrete Appl. Math. 4 (1982), no. 1, 47–74. https://doi.org/10.1016/0166-218X(82)90033-6 [11] T. Zaslavsky, A mathematical bibliography of signed and gain graphs and allied areas, Electron. J. Comb. (2018), Article ID: DS8. https://doi.org/10.37236/29 | ||
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