Optimal Identifying Codes in Cycles and Paths

被引:12
|
作者
Junnila, Ville [1 ]
Laihonen, Tero [1 ]
机构
[1] Univ Turku, Dept Math, TUCS, Turku 20014, Finland
基金
芬兰科学院;
关键词
Identifying code; Optimal code; Cycle; Path;
D O I
10.1007/s00373-011-1058-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The concept of identifying codes in a graph was introduced by Karpovsky et al. (in IEEE Trans Inf Theory 44(2):599-611, 1998). These codes have been studied in several types of graphs such as hypercubes, trees, the square grid, the triangular grid, cycles and paths. In this paper, we determine the optimal cardinalities of identifying codes in cycles and paths in the remaining open cases.
引用
收藏
页码:469 / 481
页数:13
相关论文
共 50 条
  • [21] Optimal error-detection system for identifying codes
    Jean, Devin C.
    Seo, Suk J.
    NETWORKS, 2025, 85 (01) : 61 - 75
  • [22] Optimal identifying codes of two families of Cayley graphs
    Feng, Min
    Ma, Xuanlong
    Feng, Lihua
    DISCRETE APPLIED MATHEMATICS, 2022, 320 : 199 - 210
  • [23] A family of optimal identifying codes in Z2
    Honkala, Iiro
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2006, 113 (08) : 1760 - 1763
  • [24] Optimal Local Identifying and Local Locating-dominating Codes
    Herva, Pyry
    Laihonen, Tero
    Lehtila, Tuomo
    FUNDAMENTA INFORMATICAE, 2024, 191 (3-4) : 351 - 378
  • [25] On the ensemble of optimal identifying codes in a twin-free graph
    Iiro Honkala
    Olivier Hudry
    Antoine Lobstein
    Cryptography and Communications, 2016, 8 : 139 - 153
  • [26] Two families of optimal identifying codes in binary Hamming spaces
    Ranto, SM
    Honkala, IS
    Laihonen, TK
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (05) : 1200 - 1203
  • [27] On the number of optimal identifying codes in a twin-free graph
    Honkala, Iiro
    Hudry, Olivier
    Lobstein, Antoine
    DISCRETE APPLIED MATHEMATICS, 2015, 180 : 111 - 119
  • [28] On the ensemble of optimal identifying codes in a twin-free graph
    Honkala, Iiro
    Hudry, Olivier
    Lobstein, Antoine
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2016, 8 (01): : 139 - 153
  • [29] IDENTIFYING PATHS TO OPTIMAL AGING: CONTRIBUTIONS FROM UNIQUE COHORT STUDIES
    不详
    GERONTOLOGIST, 2013, 53 : 229 - 230
  • [30] Identifying optimal thermodynamic paths in work and heat exchange network synthesis
    Yu, Haoshui
    Fu, Chao
    Vikse, Matias
    He, Chang
    Gundersen, Truls
    AICHE JOURNAL, 2019, 65 (02) : 549 - 561