تقرير
Coloring the intersection of two matroids
| العنوان: | Coloring the intersection of two matroids |
|---|---|
| المؤلفون: | Berger, Eli, Guo, He |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Algebraic Topology, 05B35, 05C15, 05C10, 57M15 |
| الوصف: | A result \cite{matcomp} from 2006 of Aharoni and the first author of this paper states that for any two natural numbers p, q, where p divides q, if a matroid M is p-colorable and a matroid N is q-colorable then M \cap N is (p+q)-colorable. In this paper we show that the assumption that p divides q is in fact redundant, and we also prove that M \cap N is even p+q list-colorable. The result uses topology and relies on a new parameter yielding a lower bound for the topological connectivity of the intersection of two matroids. Comment: 8 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.09160 |
| رقم الأكسشن: | edsarx.2407.09160 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |