An upper bound on the domination number of n-vertex connected cubic graphs
نویسندگان
چکیده
In 1996, Reed proved that the domination number γ (G) of every n-vertex graph G with minimum degree at least 3 is at most 3n/8. This bound is sharp for cubic graphs if there is no restriction on connectivity. In this paper we show that γ (G) ≤ 4n/11 for every n-vertex cubic connected graph G if n > 8. Note that Reed’s conjecture that γ (G) ≤ dn/3e for every connected cubic n-vertex graph G is not true. c © 2007 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Discrete Mathematics
دوره 309 شماره
صفحات -
تاریخ انتشار 2009