دورية أكاديمية

Weighted spectra on a weighted geometric realization of 2-simplexes and 3-simplexes.

التفاصيل البيبلوغرافية
العنوان: Weighted spectra on a weighted geometric realization of 2-simplexes and 3-simplexes.
المؤلفون: Baalal, Azeddine, Hatim, Khalid
المصدر: Discrete Mathematics, Algorithms & Applications; Jul2023, Vol. 15 Issue 5, p1-19, 19p
مستخلص: In this paper, we construct a weighted geometric realization of the set of 2-simplexes and 3-simplexes. On this weighted geometric realization, we create the Laplacian associated to 2-simplexes L S 2 and the Laplacian associated to 3-simplexes L S 3 . We prove that the nonzero spectrum of L S 2 is the same as the nonzero spectrum of L S 3 . For 0, we show that 0 belongs to the spectrum of L S 2 or to the spectrum of L S 3 . [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:17938309
DOI:10.1142/S1793830922501300