Elvierayani, Rivatul Ridho and Abdussakir, Abdussakir (2013) Spectrum of the Laplacian matrix of noncommuting graph of dihedral group D2n. Presented at The 4th International Conference Green Technology, 9 November 2013, Faculty of Science and Technology, Maulana Malik Ibrahim State Islamic University.

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Abstract
Let G be a graph with vertex set V = {v1,v2,..., vp}, A(G) is adjacency matrix of G and D(G) is diagonal matrix with entry dii = deg(vi), i = 1, 2, …, p. The Laplacian matrix of G is L(G) = D(G) – A(G). Spectrum of the Laplacian matrix is obtained by finding of eigenvalues of L(G) and their multiplicities. In this paper we study spectrum of the Laplacian matrix of noncommuting graph of dihedral group , and give results about characteristics polyniomial of L(T(D2n)) and its spectrum of the Laplacian matrix. We obtained spectrum of the Laplacian matrix of is SpecL(T(D2n))= [2n1,n,0;n,n2,1]
Item Type:  Conference (Paper) 

Keywords:  eigenvalues, eigenvector, spectrum, Laplacian matrix, noncommuting graph, dihedral group. 
Subjects:  01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) 
Divisions:  Faculty of Mathematics and Sciences > Department of Mathematics 
Depositing User:  Abdussakir Abdussakir 
Date Deposited:  30 Apr 2017 23:44 
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