BibTex Citation Data :
@article{JM1228, author = {Fitria Dewi Puspitasari and Bayu Surarso}, title = {ENERGI LAPLACIAN SKEW PADA DIGRAF}, journal = {Jurnal Matematika}, volume = {1}, number = {1}, year = {2012}, keywords = {Digraph, eigenvalue, skew laplacianenergy}, abstract = { Digraph G is a pairs of set (V,Γ) , with V(G) is set of vertices G , and Γ(G) is set of arc G . Graph G can be representated in to matrix adjacency S(G) , from matrix S(G) be obtained eigenvalues of graph G . The sum of the absolute values of its eigenvalues is energy skew of digraph G . From digraph G be obtained D G =diag( d 1 , d 2 , d 3 ,…, d n ) the diagonal matrix with the vertex degrees d 1 , d 2 , d 3 ,…, d n of v 1 , v 2 , v 3 ,…, v n . Then L G =D G -S(G) is called the laplacian matrix of digraph G . The sum of the quadrate values of each eigenvalues is energy laplacian skew . In this final project will explain about the concept of the skew laplacian energy of a simple, conected digraph G . Also find the minimal value of this energy in the class of all connnected digraphs on n≥2 vertices. }, pages = {86--89} url = {https://ejournal3.undip.ac.id/index.php/matematika/article/view/1228} }
Refworks Citation Data :
Digraph G is a pairs of set (V,Γ) , with V(G) is set of vertices G , and Γ(G) is set of arc G . Graph G can be representated in to matrix adjacencyS(G) , from matrix S(G) be obtained eigenvalues of graph G . The sum of the absolute values of its eigenvalues is energy skew of digraph G . From digraph G be obtained DG=diag(d1,d2,d3,…,dn) the diagonal matrix with the vertex degrees d1,d2,d3,…,dn of v1,v2,v3,…,vn . Then LG=DG-S(G) is called the laplacian matrix of digraph G . The sum of the quadrate values of each eigenvalues is energy laplacian skew. In this final project will explain about the concept of the skew laplacian energy of a simple, conected digraph G . Also find the minimal value of this energy in the class of all connnected digraphs on n≥2 vertices.
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