**Last preprints**

Towards a Unified Theory of Time-varying Data

Benjamin Merlin Bumpus, James Fairbanks, Martti Karvonen, Wilmer Leal, Frédéric Simard

arXiv:2402.00206, 2024

[arXiv] [ResearchGate]

Diachronic Data Analysis Supports and Refines Conceptual Metaphor Theory

Marie Teich, Wilmer Leal, Juergen Jost

arXiv:2209.12234, 2023

[BibTex] [arXiv]

Are the chemical families still there? Formal structure of similarity of elements and its thermochemical domain

Eugenio Llanos, Wilmer Leal, Andrés Bernal, Juergen Jost, Peter F. Stadler

ChemRxiv. Preprint, 2023

[BibTex] [ChemRxiv]

**Articles**

The expansion of chemical space in 1826 and in the 1840s prompted the convergence to the periodic system. Wilmer Leal, Eugenio Llanos, Andrés Bernal, Peter F. Stadler, Juergen Jost, Guillermo Restrepo. *Proceedings of the National Academy of Sciences of the United States of America*, 119:30, e2119083119, 2022. [BibTex]

Forman-Ricci curvature for hypergraphs. Wilmer Leal, Guillermo Restrepo, Peter F. Stadler, Juergen Jost. *Advances in Complex Systems*, 24:01, 2150003, 2021*.* [BibTex] [arXiv]

Computational data analysis shows that key developments towards the

periodic system occurred in the 1840s. Wilmer Leal, Eugenio Llanos, Andrés Bernal, Peter F. Stadler, Juergen Jost, Guillermo Restrepo. *ChemRxiv. Preprint*, 2021. [BibTex] [ChemRxiv]

Dialectica Petri nets. Elena Di Lavore, Wilmer Leal, Valeria de Paiva. *arXiv:2105.12801*, 2021. [BibTeX] [arXiv]

Edge-based analysis of networks: curvatures of graphs and hypergraphs. Marzieh Eidi, Amirhossein Farzam, Wilmer Leal, A. Samal, Juergen Jost. *Theory in Biosciences*, 139:4, 1-12, 2020.

BibTex`[`

[MIS-Prepint] [arXiv]`]`

Ricci curvature of random and empirical directed hypernetworks. Wilmer Leal, Marzieh Eidi, Juergen Jost. *Applied Network Science*, 5:65, 2020. [BibTex]

The chemical space from which the periodic system arose. Wilmer Leal, Eugenio Llanos, Juergen Jost, Peter F. Stadler, Guillermo Restrepo. *ChemRxiv. Preprint*, 2019. [BibTex] [MIS-Prepint]

Exploration of the chemical space and its three historical regimes. Eugenio Llanos, Wilmer Leal, Duc H. Luu, Juergen Jost, Peter F. Stadler, Guillermo Restrepo. *Proceedings of the National Academy of Sciences of the United States of America*, 116:26, 12660-12665, 2019. [BibTex]

Formal structure of periodic system of elements. Wilmer Leal, Guillermo Restrepo. *Proceedings of the Royal Society A*, 475:20180581, 2019. [BibTex] [MIS-Prepint] [arXiv]

How frequently do clusters occur in hierarchical clustering analysis? A graph theoretical approach to studying ties in proximity. Wilmer Leal, Eugenio Llanos, Guillermo Restrepo, Carlos F. Suárez, Manuel Elkin Patarroyo. *Journal of Cheminformatics,* 8(1):4, 2016. [BibTex]

A Network Study of Chemical Elements: From Binary Compounds to Chemical Trends. Wilmer Leal, Guillermo Restrepo, Andrés Bernal. *MATCH Communications in Mathematical and in Computer Chemistry,* 68, 417–442, 2012. [BibTex]

**Book chapters**

Similarity in chemical reaction networks: categories, concepts and closures. Andrés Bernal, Eugenio Llanos, Wilmer Leal, Guillermo Restrepo. In: *Advances in Mathematical Chemistry and Applications*, *Vol. 2*, 24-54. *Elsevier*, 2015.

**Abstracts**

Curvature-based analysis of Directed Hypernetworks.
Wilmer Leal, Marzieh Eidi, Juergen Jost.
*The 8 th International Conference on Complex Networks & Their Applications*, *32-34*, 2019.

Exploring the hypergraph structure underlying the chemical space. Wilmer Leal, Eugenio Llanos, Andrés Bernal Guillermo Restrepo, Duc H. Luu, Juergen Jost, Peter F. Stadler. *NetSci-X 2020 Tokyo: International School and Conference on Network Science*, 2019.

A Network model of the Chemical Space provides similarity structure to the system of chemical elements. Eugenio Llanos, Wilmer Leal, Andrés Bernal, Guillermo Restrepo, Juergen Jost, Peter F. Stadler. *The 8 th International Conference on Complex Networks & Their Applications*, *308-310, *2019*.*

Computational approach to the history of chemical reactivity: Exploring Reaxys database. Eugenio Llanos, Wilmer Leal, Guillermo Restrepo, Peter F. Stadler. *Abstracts of Papers of the American Chemical Society, 254, *2017.

How frequent are your clusters in hierarchical cluster analysis? Quantifying their frequencies considering ties in proximity. Wilmer Leal, Eugenio Llanos, Guillermo Restrepo, Carlos Suárez, Manuel Elkin Patarroyo. *Abstracts of Papers of the American Chemical Society, 25*2, 2016.

Chemical elements, their sociology. Wilmer Leal, Guillermo Restrepo. *J. Sci. Edu.*, *10*, 126-127, 2009.