Improved packings of n(n-1) unit squares in a square

被引：0

作者：

Arslanov, M. Z. ^{[1
]}

Mustafin, S. A. ^{[1
]}

Shangitbayev, Z. K. ^{[2
]}

机构：

[1] Inst Informat & Computat Technol, Alma Ata, Kazakhstan

[2] Almaty Management Univ, Alma Ata, Kazakhstan

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2021年 / 28卷 / 04期

关键词：

D O I：

10.37236/8586

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let s(n) be the side of the smallest square into which we can pack n unit squares. The purpose of this paper is to prove that s(n(2) - n) < n for all n >= 12. Besides, we show that s(18(2) - 17) < 18, s(17(2) - 16) < 17, and s(16(2) - 15) < 16.

引用

页数：11

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