%A Amaliyanah, Melly
%A Nurshiami, Siti Rahmah
%A Triyani, Triyani
%D 2022
%T Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
%K
%X Suppose that 0 = µ 0 ≤ µ 1 ≤ ... ≤ µ n -1 are eigen values of a Laplacian matrix graph with n vertices and m (µ 0 ), m (µ 1 ), …, m (µ n -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 µ 0 , µ 1 , …, µ n -1 for the first row, and m (µ 0 ), m (µ 1 ), …, m (µ n -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 . Keyword s : Characteristic polynomial, directed windmill graph, Laplacian matrix, Laplacian spectrum. MSC2020 :05C50
%U https://jurnal.unej.ac.id/index.php/MIMS/article/view/31128
%J Majalah Ilmiah Matematika dan Statistika
%0 Journal Article
%R 10.19184/mims.v22i2.31128
%P 131-144%V 22
%N 2
%@ 2722-9866
%8 2022-09-24