22 citations · 34 across the 4 of their papers we have counts for
5 papers · 1 filter
Bounds and Optimal Results for the Total Irregularity Measure
Akbar Ali, Darko Dimitrov, Tamás Réti +2
A (molecular) graph in which all vertices have the same degree is known as a regular graph. According to Gutman, Hansen, and Mélot [J. Chem. Inf. Model. 45 (2005) 222-230], it is o…
Graph Irregularity Characterization with Particular Regard to Bidegreed Graphs
Ali Ghalavand, Tamás Réti, Igor Z. Milovanović +1
In this study we are interested mainly in investigating the relations between two graph irregularity measures which are widely used for structural irregularity characterization of…
Two Irregularity Measures Possessing High Discriminatory Ability
Akbar Ali, Tamás Réti
An -vertex graph whose degree set consists of exactly elements is called antiregular graph. Such type of graphs are usually considered opposite to the regular graphs. An i…
Novel Zagreb Indices-Based Inequalities with Particular Regard to Semiregular and Generalized Semiregular Graphs
Tamás Réti, Imre Felde
Topological relations between three degree-based invariants of a connected graph G are investigated. We present novel inequalities including M1(G), M2(G) and F(G), and show that in…
Minimizing Degree-based Topological Indices for Trees with Given Number of Pendent Vertices + Erratum
Mikhail Goubko, Tamás Réti
We derive sharp lower bounds for the first and the second Zagreb indices ( and respectively) for trees and chemical trees with the given number of pendent vertices and f…