Bridging Theoretical Discrete Math Advancements with Open Source Resource Development (26w5649)

The Banff International Research Station will host the "Bridging Theoretical Discrete Math Advancements with Open Source Resource Development" workshop in Banff from September 29 to October 2, 2026.

This workshop concerns cutting edge research in combinatorics and graph theory, an area central to understanding structures which appear in modern technology, such as the internet and communication devices. Problems that were previously intractable can now be approached due to advances in computing. This workshop will feature 4-6 working groups on research on topics including graph matchings and algorithms, combinatorial coding theory, graph invariants, and algebraic graph theory.

Research results from the workshop will be incorporated into Sage, a free open-source computer algebra system, and Python. Results will also be disseminated using the PreTeXt authoring platform, producing online documents which are freely accessible and which include interactive features which allow anyone to more deeply explore the research topics of the workshop. The incorporation of Sage and PreTeXt will result in benefits to students and researchers far beyond those directly participating in the workshop.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF) and Alberta's Technology and Innovation.