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Fitria Dewi Puspitasari
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Mathematics

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ENERGI LAPLACIAN SKEW PADA DIGRAF Fitria Dewi Puspitasari; Bayu Surarso
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

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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 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.
Co-Authors Bayu Surarso