Croatica Chemica Acta, Vol. 72 No. 4, 1999.
Original scientific paper
Valencies of Property
Mircea V. Diudea
; Department of Chemistry, Babes-Bolyai University, 3400 Cluj, Romania
Abstract
Basic topological matrices: the adjacency matrix, A, the distance matrix, D, the Wiener matrix, W, the detour matrix, &Delta, the Szeged matrix, SZu, and the Cluj matrix, CJu, after application of the walk matrix operator, W(M1,M2,M3), result in matrices whose row sums express the product between a local property of a vertex i and its valency. One of the two variants of these valency-property matrices is derived by a simple graphical method. Non-Cramer matrix algebra involved in the walk matrix is exemplified. Relations of the indices, calculated on these matrices, with the well known indices of Schultz and Dobrynin (valency-distance) indices are discussed. Further use of the obtained matrices is suggested.
Keywords
basic topological matrices; walk matrix operator; valency-property matrices
Hrčak ID:
132303
URI
Publication date:
1.12.1999.
Visits: 903 *