6 papers · 1 filter
Duality in Biperiodic Fibonacci Words Substitution Frequencies and Combinatorial Invariants
Jasem Hamoud
In this paper, a natural duality on the family of biperiodic Fibonacci words generated by the directive sequence . Both of $\mathfrak{F}^{(a…
Sharp Bounds and Extremal Fuzzy Graphs for the Fuzzy Sombor Index
Jasem Hamoud
The fuzzy Sombor index applies the classical Sombor index to fuzzy graphs, incorporating both edge membership values and fuzzy vertex degrees. For , the general fuzzy Sombor i…
Structural Components Dominate Asymptotic Behavior on Sombor Index with Iterated Pendant Constructions
Jasem Hamoud
The Sombor index, a degree-based topological descriptor introduced by Gutman in 2021, lacks closed-form expressions for complex hierarchical trees with multi-level pendant structur…
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…
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…
Bounds on the Albertson Index for Trees with Given Degree Sequences
Jasem Hamoud, Duaa Abdullah
In this paper, we presents novel and sharp bounds on the Albertson index of trees, revealing deep connections between degree sequences and graph irregularity where the Albertson in…