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A Mathematical Analysis of Automatic Balanced Placement of Icons in A Smartphone Launcher

스마트폰 런처에서 아이콘 자동 균형 배치의 수학적 분석

  • Son, Kyung A (UNIST Innovative Education Center, Ulsan National Institute of Science and Technology (UNIST)) ;
  • Eun, Seongbae (Dept. of Information and Communication Eng., Hannam University)
  • Received : 2020.09.14
  • Accepted : 2020.09.28
  • Published : 2020.11.30

Abstract

There are dozens of applications on the smartphone. The service application that manages the loading, deletion, and deployment of these applications is called a smartphone launcher, and various launchers are used. Some of the existing launchers provide a function to automatically place icons by analyzing user application usage patterns. In this paper, we present a method of automatically arranging icons so that the icons are balanced on the smartphone screen. The usefulness of our method is illustrated by some exaples. In this case, it is proved that in an m × n screen layout with a height of m and a width of n, if n is an odd number, the entire screen can always be arranged in a balanced manner regardless of the n value by mathematical induction method.

스마트폰에는 다수의 응용 프로그램들이 탑재된다. 이 응용 프로그램들의 탑재, 삭제, 배치 등을 관리하는 서비스 응용 프로그램을 런처라고 하며 다양한 런처들이 사용된다. 기존 런처들 중에서 응용 프로그램의 사용자 활용 패턴들을 분석하여 아이콘을 자동으로 배치하는 기능을 제공하는 것도 있다. 본 논문에서는 스마트 폰 화면에서 아이콘들이 균형을 이루도록 아이콘을 자동으로 배치하는 방식을 제시한다. 사례를 통하여 이 방식의 자동 배치가 사용자에게 유용함을 보였다. 이 경우 높이가 m이고 너비가 n인 m × n 화면 레이아웃에서 n이 홀수이면 전체 화면이 n 값과 관계없이 항상 균형을 이루도록 배치할 수 있음을 수학적 귀납법으로 증명하였다.

Keywords

References

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