8 papers
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…
Bounds on Trees with Topological Indices Among Degree Sequence
Jasem Hamoud, Alexei Belov-Kanel, Duaa Abdullah
In this paper, we investigate The relationship between the Albertson index and the first Zagreb index for trees. For a tree with vertices and edges, we pr…
Novel Constructions of Words with Strong Avoidance Properties and their Combinatorial Analysis
Duaa Abdullah, Jasem Hamoud
This paper begins with a comprehensive overview of combinatorics on words and symbolic dynamics, covering their historical origins, fundamental concepts, and interconnections. Buil…
Topological Indices Among Strong Support Vertex
Jasem Hamoud, Duaa Abdullah
In this paper, we provide the irregularity properties of trees with strong support vertex by analyzing two prominent topological indices: the Albertson index and the Sigma index. W…
Generalized Natural Density $\DF(\mathfrak{F}_n)$ of Fibonacci Word
Jasem Hamoud, Duaa Abdullah
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, -Fibonacci words, and their combinatorial properties. We establi…