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On Reverse Laplacian Energy of a Graph
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Let G be a simple undirected graph with n vertices and m edges. The Laplacian matrix L(G) of graph G is defined as L(G)=(l_ij), where (l_ij) is equal to -1 if v_i and v_j are adjacent, 1 if v_i and v_j are not adjacent and d(v_i) if i=j,where d(v_i) is the vertex degree of v_i. This paper defines the reverse Laplacian matrix, reverse Laplacian energy and find the same for some standard graphs. Further, we calculate upper for reverse Laplacian energy.
Title: On Reverse Laplacian Energy of a Graph
Description:
Let G be a simple undirected graph with n vertices and m edges.
The Laplacian matrix L(G) of graph G is defined as L(G)=(l_ij), where (l_ij) is equal to -1 if v_i and v_j are adjacent, 1 if v_i and v_j are not adjacent and d(v_i) if i=j,where d(v_i) is the vertex degree of v_i.
This paper defines the reverse Laplacian matrix, reverse Laplacian energy and find the same for some standard graphs.
Further, we calculate upper for reverse Laplacian energy.
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