Balanced maximum counting sequences

被引：5

作者：

Suparta, I. Nengah ^{[1
]}

Van Zanten, Arend Jan

机构：

[1] IKIP Negeri Singaraja, Dept Math Educ, Bali, Indonesia

[2] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, Dept Appl Math, Delft, Netherlands

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2006年 / 52卷 / 08期

关键词：

balanced counting sequences; counting sequences; Gray sequences; maximum counting sequences;

D O I：

10.1109/TIT.2006.878217

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this correspondence, we discuss a modified version of a method due to Bakos and, independently, to Robinson and Cohn for the construction of Gray sequences. We make use of this construction to prove the existence of so-called balanced cyclic half Gray sequences. Furthermore, we discuss a specific type of counting sequences, called maximum counting sequences, and we prove a conjecture of Robinson and Cohn with respect to the existence of balanced maximum counting sequences.

引用

页码：3827 / 3830

页数：4

共 50 条

[31] The Long and the Short on Counting Sequences
Sauerberg, J.
Shu, L.
American Mathematical Monthly, 104 (04):
[32] The neural basis of counting sequences
Zaleznik, Eli
Park, Joonkoo
NEUROIMAGE, 2021, 237
[33] COUNTING A CERTAIN CLASS OF SEQUENCES
HEUER, GA
BEUMER, MG
AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (02): : 192 - &
[34] COUNTING TOURNAMENT SCORE SEQUENCES
Claesson, Anders
Dukes, Mark
Franklin, Atli Fannar
Stefansson, Sigurdur Orn
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (09) : 3691 - 3704
[35] The long and the short on counting sequences
Sauerberg, J
Shu, LS
AMERICAN MATHEMATICAL MONTHLY, 1997, 104 (04): : 306 - 317
[36] On the counting function of Stanley sequences
Dai, Li-Xia
Chen, Yong-Gao
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (01): : 91 - 95
[37] ON A CURIOUS PROPERTY OF COUNTING SEQUENCES
BRONSTEIN, V
FRAENKEL, AS
AMERICAN MATHEMATICAL MONTHLY, 1994, 101 (06): : 560 - 563
[38] Balanced Hashing, Color Coding and Approximate Counting
Alou, Noga
Gutner, Shai
PARAMETERIZED AND EXACT COMPUTATION, 2009, 5917 : 1 - +
[39] A balanced digital counting system for measuring displacements
Kolyada, YB
Yanushkin, VN
MEASUREMENT TECHNIQUES, 2000, 43 (04) : 353 - 354
[40] A balanced digital counting system for measuring displacements
Yu. B. Kolyada
V. N. Yanushkin
Measurement Techniques, 2000, 43 : 353 - 354

← 1 2 3 4 5 →