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- W4300716236 abstract "Suppose that 0 = µ0 ≤ µ1 ≤ ... ≤ µn-1 are eigen values of a Laplacian matrix graph with n vertices and m(µ0), m(µ1), …, m(µn-1) are the multiplicity of each µ, so the Laplacian spectrum of a graph can be expressed as a matrix 2 × n whose line elements are µ0, µ1, …, µn-1 for the first row, and m(µ0), m(µ1), …, m(µn-1) for the second row. In this paper, we will discuss Laplacian spectrum of the directed windmill graph () with k ≥ 1. The determination of the Laplacian spectrum in this study is to determine the characteristic polynomial of the Laplacian matrix from the directed windmill graph () with k ≥ 1.
 Keywords: Characteristic polynomial, directed windmill graph, Laplacian matrix, Laplacian spectrum.MSC2020 :05C50" @default.
- W4300716236 created "2022-10-04" @default.
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- W4300716236 date "2022-09-24" @default.
- W4300716236 modified "2023-09-26" @default.
- W4300716236 title "Spektrum Laplace pada graf kincir angin berarah (Q_k^3)" @default.
- W4300716236 doi "https://doi.org/10.19184/mims.v22i2.31128" @default.
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