The list chromatic number of the intersection of two generalized partition matroids

التفاصيل البيبلوغرافية
العنوان: The list chromatic number of the intersection of two generalized partition matroids
المؤلفون: Guo, He
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05B35, 05C15
الوصف: A famous theorem of Galvin states that the list chromatic number of the intersection of two partition matroids equals its chromatic number. Kiraly and Berczi et. al. conjectured that this equality holds for any two matroids. We prove this conjecture and a conjecture by Aharoni--Berger for any two generalized partition matroids.
Comment: 11 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.08796
رقم الأكسشن: edsarx.2407.08796
قاعدة البيانات: arXiv