Asymptotic dimension of intersection graphs

被引：0
|
作者：
Dvorak, Zdenek [1 ]
Norin, Sergey [2 ]
机构：
[1] Charles Univ Prague, Prague, Czech Republic
[2] McGill Univ, Montreal, PQ, Canada
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2025年 / 123卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/j.ejc.2022.103631
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that intersection graphs of compact convex sets in R(n )of bounded aspect ratio have asymptotic dimension at most 2n+ 1. More generally, we show this is the case for intersection graphs of systems of subsets of any metric space of Assouad- Nagata dimension n that satisfy the following condition: For each r, s > 0 and every point p, the number of pairwise-disjoint elements of diameter at least s in the system that are at distance at most r from p is bounded by a function of r/s. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：10
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