4 papers · 1 filter
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…
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…