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Original scientific paper

Valencies of Property

Mircea V. Diudea ; Department of Chemistry, Babes-Bolyai University, 3400 Cluj, Romania


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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

https://hrcak.srce.hr/132303

Publication date:

1.12.1999.

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