8 papers · 1 filter
Harmonic-Arithmetic Index of (Molecular) Trees
Abeer M. Albalahi, Akbar Ali, Abdulaziz M. Alanazi +2
Let be a graph. Denote by , , and the degree of a vertex in , the set of edges of , and the degree set of , respectively. This paper proposes to…
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…