15 papers · 1 filter
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…
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…
The Density of Zero and One in Fibonacci Word for Subwords and Their Palindromes
Duaa Abdullah, Jasem Hamoud
This paper studies the density of zero and one in subwords of the Fibonacci word with lengths less than thirty and compares them to the densities of their corresponding palindromes…
Applications of Combinatorics on Words with Symbolic Dynamics
Duaa Abdullah, Jasmem Hamoud
In this paper, we explore applications of combinatorics on words across various domains, including data compression, error detection, cryptographic protocols, and pseudorandom numb…
On Topological Indices in Trees: Fibonacci Degree Sequences and Bounds
Jasem Hamoud, Alexei Belov-Kanel, Duaa Abdullah
In this paper, we have studied bounds based on topological indicators, from which we selected Albertson index and the Sigma index . The Sigma index was defined th…