collaborators

18 papers

math.HO2025

The Orientalists' Stance Towards Arabic Sciences (Especially Arabic Astronomy)

Duaa Abdullah, Jasem Hamoud

In this paper, we highlight the influence of Arab/Islamic civilization in the field of the history of astronomy on European historians. We also aim to elucidate the stance of Orien…

econ.TH2025

The Effect of Using Popular Mathematical Puzzles on The Mathematical Thinking of Syrian Schoolchildren

Duaa Abdullah, Jasem Hamoud

In this paper we provide a good overview of the problems and the background of mathematics education in Syrian schools. We aimed to study the effect of using popular mathematical p…

econ.TH2025

The Role of Mathematical Folk Puzzles in Developing mathematical Thinking and Problem-Solving Skills

Duaa Abdullah, Jasem Hamoud

This paper covers a variety of mathematical folk puzzles, including geometric (Tangrams, dissection puzzles), logic, algebraic, probability (Monty Hall Problem, Birthday Paradox),…

math.CO2025

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…

math.CO2025

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…

math.CO2025

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…