6 papers
The Heat Kernel Expansion: Curvature for Shock Detection in Higher-Order Financial Networks
Mohammad Elsayed, Sara Najem
This work follows the evolution of financial networks in Norway over a period of nine years at a monthly rate. The data consist of board directors and their affiliations to compani…
Finding Graph Isomorphisms in Heated Spaces in Almost No Time
Sara Najem, Amer E. Mouawad
Determining whether two graphs are structurally identical is a fundamental problem with applications spanning mathematics, computer science, chemistry, and network science. Despite…
Discovery of Symbolic Hamiltonian Expressions with Buckingham-Symplectic Networks
Joe Germany, Joseph Bakarji, Sara Najem
Hamiltonian systems lie at the heart of modeling the physical world. Their defining scalar, the Hamiltonian, encodes both energy conservation and symplectic geometry in its phase-s…
Geometric Features of Higher-Order Networks via the Spectral Triplet
Sara Najem, Dima Mrad, Mohammad Elsayed
Our work is concerned with simplicial complexes that describe higher-order interactions in real complex systems. This description allows to go beyond the pairwise node-to-node repr…
Higher-Order Network Representation of J. S. Bach's Solo Violin Sonatas and Partitas: Topological and Geometrical Explorations
Dima Mrad, Sara Najem
Music is inherently complex, with structures and interactions that unfold across multiple layers. Complex networks have emerged as powerful structures for the quantitative analysis…
Networked Infectiousness: Cascades, Power Laws, and Kinetics
Sara Najem, Leonid Klushin, Jihad Touma
Networked SIR models have become essential workhorses in the modeling of epidemics, their inception, propagation and control. Here, and building on this venerable tradition, we rep…