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Independent Double Geodetic Domination Number of a Graph


Author(s):

A.Nellai Murugan , V. O. Chidambaram College,Thoothukudi-628 008, Tamilnadu, India; A.Esakkimuthu, Dr.S.S.Pillai Centre for Research in mathematics, V. O. Chidambaram college, Thoothukudi-628 008, Tamilnadu, India; G.Mahadevan, Gandhigram Rural Institute-Deemed University, Gandhigram Dindigul- 624 302

Keywords:

Domination, Geodetic, Double Geodetic, Double Geodetic Dominating Set, Double Geodetic Domination Number, Independent Double Geodetic Dominating Set, Independent Double Geodetic Domination Number

Abstract:

A double geodetic dominating set S of G is said to be an independent double geodetic dominating set of G if the sub graph induced by S is independent. The minimum cardinality among all independent double geodetic dominating sets of G is called the independent double geodetic domination number of G. It is denoted by i_DG (G). The independent double geodetic dominating set of cardinality i_DG (G) is called an i_DG-set of G. In this paper, we study independent double geodetic domination on graphs.


Other Details:

Manuscript Id :IJSTEV2I8032
Published in :Volume : 2, Issue : 8
Publication Date: 01/03/2016
Page(s): 102-106
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