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On Reciprocal and Reverse Balaban Indices

Zhou, Bo; Trinajstić, Nenad (2009) On Reciprocal and Reverse Balaban Indices. Croatica Chemica Acta, 82 (2). pp. 537-541. ISSN 0011-1643

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Abstract

The Ivanciuc-Balaban operator of a graph G is defined as J(M,G) =M/mu+1 (vivj is an element of E(G))Sigma (M(i) . M(j))(-v2) where M is its molecular matrix with positive row-sums, m is the number of edges, p is the cyclomatic number, M(i) is the i-th row sum of M and the summation goes over all edges from the edge-set E(G). Here we consider the reciprocal Balaban index (r)J(G) = J(RD,G) and the reverse Balaban index J(r)(G)=J(RW,G), where RD and RW are respectively the reciprocal distance matrix and the reverse Wiener matrix of G. Various lower and upper bounds for these two types of Balaban-like indices are reported.

Item Type: Article
Uncontrolled Keywords: Ivanciuc-Balaban operator; Balaban index; reciprocal Balaban index; reverse Balaban index; topological indexes; distance matrix; harary index; wiener indexes; graphs; design; descriptors; radius
Subjects: NATURAL SCIENCES > Chemistry
Divisions: Division of Physical Chemistry
Projects:
Project titleProject leaderProject codeProject type
Razvoj metoda za modeliranje svojstava bioaktivnih molekula i proteina[184293] Bono Lučić098-1770495-2919MZOS
Depositing User: Nenad Trinajstić
Date Deposited: 09 Oct 2013 09:15
Last Modified: 06 Feb 2014 12:47
URI: http://fulir.irb.hr/id/eprint/739

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