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NEW SKEW LAPLACIAN ENERGY OF SIMPLE DIGRAPHS
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نویسنده
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لی ایکسولیانگ ,کای کینگ کیونگ ,سونگ جیانگ لی
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منبع
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transactions on combinatorics - 2013 - دوره : 2 - شماره : 1 - صفحه:27 -37
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چکیده
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For a simple digraph g of order n with vertex set fv1; v2; : : : ; vng, let d+i and d??i denotethe out-degree and in-degree of a vertex vi in g, respectively. let d+(g) = diag(d+1 ; d+2 ; : : : ; d+n ) andd??(g) = diag(d??1 ; d??2 ; : : : ; d??n ). in this paper we introduce fsl(g) = ed(g)??s(g) to be a new kind ofskew laplacian matrix of g, where ed(g) = d+(g) ?? d??(g) and s(g) is the skew-adjacency matrixof g, and from which we define the skew laplacian energy sle(g) of g as the sum of the norms of allthe eigenvalues of fsl(g). some lower and upper bounds of the new skew laplacian energy are derivedand the digraphs attaining these bounds are also determined.
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کلیدواژه
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energy ,Laplacian energy ,skew energy ,skew Laplacian energy ,eigenvalues ,simple digraph
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آدرس
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Nankai University, Center for Combinatorics and LPMC-TJKLC, Nankai University, Tianjin 300071, China, China, Nankai University, Center for Combinatorics and LPMC-TJKLC, Nankai University, Tianjin 300071, China, China, Nankai University, Center for Combinatorics and LPMC-TJKLC, Nankai University, Tianjin 300071, China, China
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پست الکترونیکی
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songjiangli@mail.nankai.edu.cn
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Authors
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