A recursive algorithm of combinatorial difference set design for least scale number on ruler

For a positive integer n≥2, what is the minimum number of ticks to be engraved on an unscaled ruler of length n to measure all lengths from 1 to n. This is an unsolved problem of ruler with least number of scales. This paper clarifies the relationship between ruler with the least number of scales an...

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Bibliographic Details

Published in:	Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 51; no. 2; pp. 178 - 185
Main Authors:	Tang, Baoxiang, Ren, Han
Format:	Journal Article
Language:	Chinese
Published:	Hangzhou Zhejiang University 01.03.2024 Zhejiang University Press
Subjects:	Algorithms Combinatorial analysis combinatorial difference recursive algorithm(组合差集递推算法) Engraving graceful labeling algorithm(优美标号算法) graceful labeling(优美标号) Graph theory minimal graceful graph(极小优美图) ruler with least number of scales(最省刻度尺) Ticks
ISSN:	1008-9497
Online Access:	Get full text
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