✦ LIBER ✦

Branch-Width and Rota's Conjecture

✍ Scribed by James Geelen; Geoff Whittle

No coin nor oath required. For personal study only.

✦ Synopsis

For a fixed finite field F and an integer k there are a finite number of matroids of branch-width k that are excluded minors for F-representability.

📜 SIMILAR VOLUMES

On Rota's Basis Conjecture

✍ Geelen, Jim; Webb, Kerri 📂 Article 📅 2007 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 132 KB

Stability, fragility, and Rotaʼs Conject

✍ Dillon Mayhew; Geoff Whittle; Stefan H.M. van Zwam 📂 Article 📅 2012 🏛 Elsevier Science 🌐 English ⚖ 298 KB

Rota’s Basis Conjecture for Paving Matro

✍ Geelen, Jim; Humphries, Peter J. 📂 Article 📅 2006 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 110 KB

Testing branch-width

✍ Sang-il Oum; Paul Seymour 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Reduction of Rota's Basis Conjecture to

✍ Chow, Timothy Y. 📂 Article 📅 2009 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 107 KB

A simple counterexample to a conjecture

✍ J.B. Shearer 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 319 KB