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A combinatorial theorem on labeling squares with points and its application

Binhai Zhu () and Minghui Jiang ()
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Binhai Zhu: Montana State University
Minghui Jiang: Utah State University

Journal of Combinatorial Optimization, 2006, vol. 11, issue 4, No 5, 420 pages

Abstract: Abstract In this paper, we present a combinatorial theorem on labeling disjoint axis-parallel squares of edge length two using points. Given an arbitrary set of disjoint axis-parallel squares of edge length two, we show that if we label points on the boundary of all squares (one for each square) and define a distance label graph such that there is an edge between any two labeling points if and only if their L∞-distance is at most 1 − ε (0

Keywords: Square packing; Combinatorics; Map labeling (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10878-006-8461-6

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