7 papers
The -apex trees with minimum augmented Zagreb index
Muhuo Liu, Shumei Pang, Francesco Belardo +1
For a connected graph on at least three vertices, the augmented Zagreb index (AZI) of is defined as $$AZI(G)=\sum_{uv\in E(G)}\left(\frac{d(u)d(v)}{d(u)+d(v)-2}\right)^{3},…
Towards the Solution of an Extremal Problem Concerning the Wiener Polarity Index of Alkanes
Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali
The Wiener polarity index , one of the most studied molecular structure descriptors, was devised by the chemist Harold Wiener for predicting the boiling points of alkanes. The…
On the Extremal Zagreb Indices of -Vertex Chemical Trees with Fixed Number of Segments or Branching Vertices
Sadia Noureen, Akbar Ali, Akhlaq Ahmad Bhatti
Let and be the classes of all -vertex chemical trees with segments and branching vertices, respectively, where $3\le k\le n-1…
On the Complementary Equienergetic Graphs
Akbar Ali, Suresh Elumalai, Toufik Mansour +1
Energy of a simple graph , denoted by , is the sum of the absolute values of the eigenvalues of . Two graphs with the same order and energy are called equiene…
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…
Estimating Some General Molecular Descriptors of Saturated Hydrocarbons
Akbar Ali, Zhibin Du, Kiran Shehzadi
Three general molecular descriptors, namely the general sum-connectivity index, general Platt index and ordinary generalized geometric-arithmetic index, are studied here. Best poss…