An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection. - Isabel Bermejo; Ignacio García-Marco; Juan José Salazar González (J. Symb. Comput., 2007)

An algorithm for checking whether a simplicial toric ideal is a complete intersection. - Isabel Bermejo; Ignacio García-Marco (ACM Commun. Comput. Algebra, 2010)

Log-Concavity and Lower Bounds for Arithmetic Circuits. - Ignacio García-Marco; Pascal Koiran; Sébastien Tavenas (MFCS (2), 2015)

Möbius function of semigroup posets through Hilbert series. - Jonathan Chappelon; Ignacio García-Marco; Luis Pedro Montejano 001; Jorge Luis Ramírez Alfonsín (J. Comb. Theory A, 2015)

Complete intersections in simplicial toric varieties. - Isabel Bermejo; Ignacio García-Marco (J. Symb. Comput., 2015)

Matroid Toric Ideals: Complete Intersection, Minors, and Minimal Systems of Generators. - Ignacio García-Marco; Jorge Luis Ramírez Alfonsín (SIAM J. Discret. Math., 2015)

Drawing graphs with vertices and edges in convex position. - Ignacio García-Marco; Kolja Knauer (Comput. Geom., 2016)

On the Complexity of Partial Derivatives. - Ignacio García-Marco; Pascal Koiran; Timothée Pecatte; Stéphan Thomassé (STACS, 2017)

Chomp on numerical semigroups. - Ignacio García-Marco; Kolja Knauer (CoRR, 2017)

Lower bounds by Birkhoff interpolation. - Ignacio García-Marco; Pascal Koiran (J. Complex., 2017)

Algebraic invariants of projective monomial curves associated to generalized arithmetic sequences. - Isabel Bermejo; Eva García-Llorente; Ignacio García-Marco (J. Symb. Comput., 2017)

Polynomial Equivalence Problems for Sum of Affine Powers. - Ignacio García-Marco; Pascal Koiran; Timothée Pecatte (ISSAC, 2018)

Noether resolutions in dimension 2. - Isabel Bermejo; Eva García-Llorente; Ignacio García-Marco; Marcel Morales (ACM Commun. Comput. Algebra, 2018)

On the linear independence of shifted powers. - Pascal Koiran; Timothée Pecatte; Ignacio García-Marco (J. Complex., 2018)

High dimensional affine codes whose square has a designed minimum distance. - Ignacio García-Marco; Irene Márquez-Corbella; Diego Ruano (Des. Codes Cryptogr., 2020)

Reconstruction algorithms for sums of affine powers. - Ignacio García-Marco; Pascal Koiran; Timothée Pecatte (J. Symb. Comput., 2020)

Chomp on generalized Kneser graphs and others. - Ignacio García-Marco; Kolja Knauer; Luis Pedro Montejano 001 (Int. J. Game Theory, 2021)

Computing generalized hamming weights of binary linear codes via free resolutions. - Ignacio García-Marco; Irene Márquez-Corbella; Edgar Martínez-Moro; Yuriko Pitones (ACM Commun. Comput. Algebra, 2022)

Beyond symmetry in generalized Petersen graphs. - Ignacio García-Marco; Kolja Knauer (CoRR, 2022)

Free Resolutions and Generalized Hamming Weights of binary linear codes. - Ignacio García-Marco; Irene Márquez-Corbella; Edgar Martínez-Moro; Yuriko Pitones (CoRR, 2022)

On sensitivity in bipartite Cayley graphs. - Ignacio García-Marco; Kolja Knauer (J. Comb. Theory B, 2022)

On Decoding Hyperbolic Codes. - Eduardo Camps-Moreno; Ignacio García-Marco; Hiram H. López; Irene Márquez-Corbella; Edgar Martínez-Moro; Eliseo Sarmiento (WAIFI, 2024)

Sensitivity of m-ary functions and low degree partitions of Hamming graphs. - Sara Asensio; Ignacio García-Marco; Kolja Knauer (CoRR, 2024)

Coloring minimal Cayley graphs. - Ignacio García-Marco; Kolja Knauer (Eur. J. Comb., 2025)

Sensitivity and Hamming graphs. - Sara Asensio; Yuval Filmus; Ignacio García-Marco; Kolja Knauer (CoRR, 2025)