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On the path-Zagreb matrix
Authors:Damir Vuki?evi?  Sonja Nikoli? and Nenad Trinajsti?
Institution:(1) Department of Mathematics, The University of Split, Nikole Tesle 12, 21000 Split, Croatia;(2) The Rugjer Bošković Institute, P.O. Box 180, 10002 Zagreb, Croatia
Abstract:The definition of the path-Zagreb matrix for (chemical) trees PZ and its generalization to any (molecular) graph is presented. Additionally, the upper bound of $${\log _2\left({{PZ}\left({G_n}\right)_{ij}}\right)}$$ , where G n is a graph with n vertices is given.
Keywords:Zagreb matrices  Path-Zagreb matrix  Trees  General graphs
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