The Reciprocal Barysz Vertex-Distance Matrix

The reciprocal Barysz vertex-distance matrix, denoted by of a vertex- and edge-weighted molecular graph G with V vertices is the square symmetric V x V matrix defined as 

The sum of the entries in the upper matrix-triangle (or the lower matrix-triangle) gives the Wiener index of G4. The molecular descriptors based on the reciprocal Barysz vertex-distance matrix have been used in QSAR modeling by Ivanciuc (2000b). 

13 THE RECIPROCAL OF THE COMPLEMENT OF THE BARYSZ VERTEX-DISTANCE MATRIX 

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