9 papers
Quantum Fractional Revival and Entanglement Entropy in Unitary Cayley Graphs
Duaa Abdullah
This paper extends the theory of quantum fractional revival (QFR) on unitary Cayley graphs in several directions that remained unresolved in previous wor…
Degree Variance and the Fuzzy Sigma Index in Fuzzy Graphs
Duaa Abdullah
The sigma index of a graph, defined as the population variance of its degree sequence, is a fundamental measure of structural irregularity. In this paper, we introduce and systemat…
Theta-Relations Among Degree-Based Tree Indices
Duaa Abdullah, Jasem Hamoud
In this paper, degree-based topological indices play a key role in the structural analysis of graphs in this paper and have significant uses in chemical graph theory. We investigat…
On Extremal Family Trees Beyond Caterpillars and Greedy Constructions
Jasem Hamoud, Duaa Abdullah
This paper investigates topological indices for the greedy tree associated with a graphic degree sequence $\mathscr{D} = (d_1 \geqslant d_2 \geqslant \dot…
On the Asymptotic Palindrome Density of Fibonacci Infinite Words
Duaa Abdullah, Jasem Hamoud
In this paper, we investigate the combinatorial and density properties of infinite words generated by Fibonacci-type morphisms, focusing on their subword structure, palindrome dens…
Analysis of the Density of Words under Morphism
Jasem Hamoud, Duaa Abdullah
In this paper, we analyze the density of the Fibonacci word and its derived forms by examining the morphisms associated with each. It offers a comparative analysis of the density o…