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Density Characterization with The Upper Bound of Density of Fibonacci Word
Duaa Abdullah, Jasem Hamoud
This paper investigates the natural density and structural relationships within Fibonacci words, the density of a Fibonacci word is where deno…
Closed-Form Analysis and Extremal Bounds of Albertson and Sigma Indices in Trees with Prescribed Degree Sequences
Jasem Hamoud, Alexey Belov Yakovlevich, Muaadh Almahalebi +1
This study explores the irregularity properties of trees with prescribed degree sequences by analyzing two prominent topological indices: the Albertson index and the sigma index. W…
Optimal Behaviour in Extremal Bounds for -Irregularity
Jasem Hamoud, Duaa Abdullah
In this paper, we establishe the extremal bounds of the topological indices -- Sigma index -- focusing on analyzing the sharp upper bounds and the lower bounds of the Sigma index,…
Extremal Bounds on the Sigma and Albertson Indices for Non-Decreasing Degree Sequences
Jasem Hamoud, Duaa Abdullah
We establish sharp extremal bounds on the Albertson and Sigma irregularity indices for trees with prescribed degree sequences, with emphasis on caterpillar trees as key extremal co…
The Exponential Hyper-Zagreb Indices and Structural Properties of Trees and Bipartite Graphs
Jasem Hamoud
In this paper, we investigate the structural properties of trees and bipartite graphs through the lens of topological indices and combinatorial graph theory. We focus on the First…
Bounds of Trees with Degree Sequence-Based Topological Indices on Specialized Graph Classes
Jasem Hamoud, Duaa Abdullah
In this paper, the investigates Adriatic indices, specifically the sum lordeg index where it defined as and the variable sum ex…