Codes, Cubes, and Graphical Designs. - Catherine Babecki (CoRR, 2020)

Structure and Complexity of Graphical Designs for Weighted Graphs through Eigenpolytopes. - Catherine Babecki; David Shiroma (CoRR, 2022)

Graphical designs and gale duality. - Catherine Babecki; Rekha R. Thomas (Math. Program., 2023)

Sparse graphical designs via linear programming. - Hessa Al-Thani; Catherine Babecki; Juan Carlos Martínez Mori (Oper. Res. Lett., 2024)

Eigenpolytope Universality and Graphical Designs. - Catherine Babecki; David Shiroma (SIAM J. Discret. Math., 2024)

Spectrahedral Geometry of Graph Sparsifiers. - Catherine Babecki; Stefan Steinerberger; Rekha R. Thomas (SIAM J. Discret. Math., 2025)

Sharp Threshold for Cliques in Random 0/1 Polytope Graphs. - Catherine Babecki; Tycho Elling; Asaf Ferber (CoRR, 2025)