**Publications in journals**

- Polynomial degeneracy for the first m energy levels of the antiferromagnetic Ising model, Annales de l’Institut Henri Poincare (D) Combinatorics, Physics and their Interactions, 2019.

- with F. Botler and M. Sambinelli. Gallai’s path decomposition conjecture for triangle-free planar graphs, Discrete Mathematics, 2019.

- with H. Hàn. Improved bound on the maximum number of clique-free colorings with two and three colors. SIAM Journal on Discrete Mathematics, 2018.

- with H. Hàn. Maximum number of sum-free colorings in finite Abelian Groups. Israel Journal of Mathematics, 2018.

- with Y. Wakabayashi. On path-cycle decompositions of triangle-free graphs. Discrete Mathematics & Theoretical Computer Science, 2017.

- with I. Araya, C.E. Jones, M. Curé, L. Cidale, J. Silaj and A. Granada. Ω-Slow Solutions and Be Stars Disks. The Astrophysical Journal, 2017

- wiith F. Botler. On path decompositions of 2k-regular graphs. Discrete Mathematics, 2016. ArXiv.

- with M. Kang and M. Loebl. Cubic Bridgeless Graphs and Braces. Graphs and Combinatorics, 2016.

- with M. Kiwi. Computational hardness of enumerating groundstates of the antiferromagnetic Ising model in triangulations. Discrete Applied Mathematics, 2014.

- with M. Kiwi. Antiferromagnetic Ising model in triangulations with applications to counting perfect matchings. Discrete Applied Mathematics, 2014.

- Non-degenerated ground states and low-degenerated excited states in the antiferromagnetic Ising model on triangulations. Communications in Mathematical Physics, 2013.

- with M. Kiwi and M. Loebl. Satisfying states of triangulations of a convex n-gon. The Electronic Journal of Combinatorics, 2010.

**Contributions in conference proceedings**

- with F. Botler. On path decompositions of 2k-regular graphs. Lagos, 2015.

- with M. Loebl. Directed cycle double cover conjecture: fork graphs. ICGT, 2014.

- with Y. Wakabayashi. On path-cycle decompositions of triangle-free graphs. ICGT, 2014.

- with M. Loebl. Directed cycle double covers: hexagon graphs. EuroComb, 2013.

- Small degeneracy of antiferromagnetic triangulations. LAGOS, 2013.

- with M. Kiwi. Counting perfect matchings of cubic graphs in the geometric dual. LAGOS, 2011.

- with A. Granada, M. Curé and L. Cidale. Bistability rotating radiation driven wind for B[e] Supergiants: the oblate finite cone angle correction factor. RevMexAA (Serie de Conferencias), 2010.

**Submitted and preprints**

- with T. J. Schmidt. Deciding whether a Grid is a Topological Subgraph of a Planar Graph is NP-Complete, 2018.

- with M. Loebl. Directed Cycle Double Covers Cut-Obstacles and Robust ear Decompositions, 2018.