Geodesic
An inequality chain of domination parameters for trees
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 127-142

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We prove that the smallest cardinality of a maximal packing in any tree is at most the cardinality of an R-annihilated set. As a corollary to this result we point out that a set of parameters of trees involving packing, perfect neighbourhood, R-annihilated, irredundant and dominating sets is totally ordered. The class of trees for which all these parameters are equal is described and we give an example of a tree in which most of them are distinct.
Keywords: domination, irredundance, packing, perfect neighbourhoods, annihilation 
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     title = {An inequality chain of domination parameters for trees},
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Cockayne, E.; Favaron, O.; Puech, J.; Mynhardt, C. An inequality chain of domination parameters for trees. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 127-142. http://geodesic.mathdoc.fr/item/DMGT_1998_18_1_a10/