<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Mathematics - Combinatorics on Mathieu Vallée - Mathematics webpage</title><link>https://mvallee1998.github.io/tags/mathematics---combinatorics/</link><description>Recent content in Mathematics - Combinatorics on Mathieu Vallée - Mathematics webpage</description><generator>Hugo -- 0.162.1</generator><language>en</language><lastBuildDate>Tue, 01 Sep 2026 00:00:00 +0000</lastBuildDate><atom:link href="https://mvallee1998.github.io/tags/mathematics---combinatorics/index.xml" rel="self" type="application/rss+xml"/><item><title>Regular dyadic triangulations of delta-matroid polytopes</title><link>https://mvallee1998.github.io/papers/preprints/vallee_regular_2026/</link><pubDate>Tue, 01 Sep 2026 00:00:00 +0000</pubDate><guid>https://mvallee1998.github.io/papers/preprints/vallee_regular_2026/</guid><description>Backman and Liu proved that every integral generalized permutohedron of type $A$, and in particular every matroid base polytope, admits a regular…</description></item><item><title>Complement minimally non-totally unimodular matrices</title><link>https://mvallee1998.github.io/papers/preprints/choi_complement_2026/</link><pubDate>Sat, 01 Aug 2026 00:00:00 +0000</pubDate><guid>https://mvallee1998.github.io/papers/preprints/choi_complement_2026/</guid><description>We prove that, up to row and column permutations and complement operations, the only complement minimally non-totally unimodular matrices are the cycle…</description></item><item><title>Enumerating toric-colorable seeds of Picard number five via binary matroids</title><link>https://mvallee1998.github.io/papers/preprints/choi_enumerating_2026/</link><pubDate>Wed, 01 Jul 2026 00:00:00 +0000</pubDate><guid>https://mvallee1998.github.io/papers/preprints/choi_enumerating_2026/</guid><description>We introduce a binary matroid framework for the enumeration of mod $2$ toric-colorable seeds of fixed Picard number. Working with binary matroids up to…</description></item><item><title>Power set operads</title><link>https://mvallee1998.github.io/papers/preprints/vallee_power_2026/</link><pubDate>Fri, 01 May 2026 00:00:00 +0000</pubDate><guid>https://mvallee1998.github.io/papers/preprints/vallee_power_2026/</guid><description>We introduce a systematic method for constructing set-theoretic operads via iterated application of the power set functor, and use it to uncover a…</description></item></channel></rss>