Domination Parameters in Hypertrees

被引:0
作者
Jayagopal, R. [1 ]
Rajasingh, Indra [1 ]
Rajan, R. Sundara [2 ]
机构
[1] VIT Univ, Sch Adv Sci, Chennai 600127, Tamil Nadu, India
[2] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia
来源
ALGORITHMS AND DISCRETE APPLIED MATHEMATICS, CALDAM 2016 | 2016年 / 9602卷
关键词
Dominating set; Total dominating set; Locating-dominating set; Locating-total dominating set; Hypertree; IDENTIFYING CODES; SETS; GRAPHS; TREES;
D O I
10.1007/978-3-319-29221-2_26
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A locating-dominating set (LDS) S of a graph G is a dominating set S of G such that for every two vertices u and v in V (G) \ S, N(u) boolean AND S not equal N(v) boolean AND S. The locating-domination number gamma(L)(G) is the minimum cardinality of a LDS of G. Further if S is a total dominating set then S is called a locating-total dominating set. In this paper we determine the domination, total domination, locating-domination and locating-total domination numbers for hypertrees.
引用
收藏
页码:299 / 307
页数:9
相关论文
共 19 条
  • [1] [Anonymous], 2011, DISCUSS MATH, DOI DOI 10.7151/DMGT.1538
  • [2] [Anonymous], 1979, Computers and Intractablity: A Guide to the Theory of NP-Completeness
  • [3] [Anonymous], 1985, Graphs and Hypergraphs
  • [4] Charon I., 2006, THEORET COMPUT SCI, V290, P2109
  • [5] Identifying codes and locating-dominating sets on paths and cycles
    Chen, Chunxia
    Lu, Changhong
    Miao, Zhengke
    [J]. DISCRETE APPLIED MATHEMATICS, 2011, 159 (15) : 1540 - 1547
  • [6] Bounds on the locating-total domination number of a tree
    Chen, Xue-gang
    Sohn, Moo Young
    [J]. DISCRETE APPLIED MATHEMATICS, 2011, 159 (08) : 769 - 773
  • [7] Cockayne E. J., 1977, Networks, V7, P247, DOI 10.1002/net.3230070305
  • [8] Exoo G., 2011, J COMBIN, V49, P177
  • [9] Locating and identifying codes in circulant networks
    Ghebleh, M.
    Niepel, L.
    [J]. DISCRETE APPLIED MATHEMATICS, 2013, 161 (13-14) : 2001 - 2007
  • [10] GOODMAN JR, 1981, IEEE T COMPUT, V30, P923, DOI 10.1109/TC.1981.1675731