38 citations · 199 across the 44 of their papers we have counts for
6 papers · 1 filter
Persistent Homology Guided Force-Directed Graph Layouts
Ashley Suh, Mustafa Hajij, Bei Wang +2
Graphs are commonly used to encode relationships among entities, yet their abstractness makes them difficult to analyze. Node-link diagrams are popular for drawing graphs, and forc…
Parallel Mapper
Mustafa Hajij, Basem Assiri, Paul Rosen
The construction of Mapper has emerged in the last decade as a powerful and effective topological data analysis tool that approximates and generalizes other topological summaries,…
The Shape of an Image: A Study of Mapper on Images
Alejandro Robles, Mustafa Hajij, Paul Rosen
We study the topological construction called Mapper in the context of simply connected domains, in particular on images. The Mapper construction can be considered as a generalizati…
Visual Detection of Structural Changes in Time-Varying Graphs Using Persistent Homology
Mustafa Hajij, Bei Wang, Carlos Scheidegger +1
Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structur…
Foundations of the Colored Jones Polynomial of singular knots
Mohamed Elhamdadi, Mustafa Hajij
This article gives the foundations of the colored Jones polynomial for singular knots. We extend Masbum and Vogel's algorithm to compute the colored Jones polynomial for any singul…
Generating sets of Reidemeister moves of oriented singular links and quandles
Khaled Bataineh, Mohamed Elhamdadi, Mustafa Hajij +1
We give a generating set of the generalized Reidemeister moves for oriented singular links. We use it to introduce an algebraic structure arising from the study of oriented singula…