Title
Permutations with a distinct difference property
Abstract
The topic of this paper arose out of a consideration of Costas sequences, which are used in sonar and radar applications. These sequences have the defining property that all differences of elements the same distance apart, are different. Several infinite families of Costas sequences are known; but there are many existence questions for length ≥ 32. In this article, we restrict ourselves to sequences with the weaker property that all adjacent differences are different. We give a recursive construction for these, as well as building several infinite families.
Year
DOI
Venue
2003
10.1016/S0012-365X(02)00460-0
Discrete Mathematics
Keywords
Field
DocType
radar application,costas,distinct difference property,adjacent difference,weaker property,infinite family,difference property,existence question,recursive construction,costas sequence,sequence,defining property
Radar,Discrete mathematics,Combinatorics,Permutation,Sonar,Mathematics,Recursion,restrict
Journal
Volume
Issue
ISSN
261
1-3
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Lynn M. Batten1122.66
Sharad Sane221.16