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On Comparable Box Dimension
- Publication Year :
- 2022
-
Abstract
- Two boxes in $\mathbb{R}^d$ are comparable if one of them is a subset of a translation of the other one. The comparable box dimension of a graph $G$ is the minimum integer $d$ such that $G$ can be represented as a touching graph of comparable axis-aligned boxes in $\mathbb{R}^d$. We show that proper minor-closed classes have bounded comparable box dimensions and explore further properties of this notion.<br />Comment: 23 pages, 1 figure, accepted for presentation at SoCG 2022
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2203.07686
- Document Type :
- Working Paper