| Caro, T., West, D.B. and Yuster, R.: Connected Domination and Spanning Trees with Many Leaves. SIAM Journal on Discrete Mathematics 13(2) (2000) 202--211 |
....in [10, 11] Caro [4] has considered k domination numbers and showed an analog result to the one obtained by Lov asz, under the (obviously necessary) assumption that ffi k. Thus, he showed that fl(k; G) n ln ffi ffi (1 o ffi (1) Considering connected domination, Caro, West and Yuster [5] have shown by more complicated arguments that the bound obtained by Lov asz also holds in this much more restricted case, namely fl c (k; G) n ln ffi ffi (1 o ffi (1) Their result also supplies a sequential deterministic algorithm which produces a connected dominating set with (at most) ....
Y. Caro, D. West and R. Yuster, Connected domination and spanning trees with many leaves, submitted.
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Caro, T., West, D.B. and Yuster, R.: Connected Domination and Spanning Trees with Many Leaves. SIAM Journal on Discrete Mathematics 13(2) (2000) 202--211
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