تقرير
Biclique immersions in graphs with independence number 2
العنوان: | Biclique immersions in graphs with independence number 2 |
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المؤلفون: | Botler, Fábio, Jiménez, Andrea, Lintzmayer, Carla N., Pastine, Adrián, Quiroz, Daniel A., Sambinelli, Maycon |
المصدر: | European Journal of Combinatorics, Volume 122, Article 104042, 2024 |
سنة النشر: | 2023 |
المجموعة: | Computer Science Mathematics |
مصطلحات موضوعية: | Mathematics - Combinatorics, Computer Science - Discrete Mathematics |
الوصف: | The analogue of Hadwiger's conjecture for the immersion relation states that every graph $G$ contains an immersion of $K_{\chi(G)}$. For graphs with independence number 2, this is equivalent to stating that every such $n$-vertex graph contains an immersion of $K_{\lceil n/2 \rceil}$. We show that every $n$-vertex graph with independence number 2 contains every complete bipartite graph on $\lceil n/2 \rceil$ vertices as an immersion. Comment: 21 pages, 11 figures |
نوع الوثيقة: | Working Paper |
DOI: | 10.1016/j.ejc.2024.104042 |
URL الوصول: | http://arxiv.org/abs/2303.06483 |
رقم الأكسشن: | edsarx.2303.06483 |
قاعدة البيانات: | arXiv |
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