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Jan 26, 2013 at 1:02 comment added Kevin P. Costello It only works here if you happen to pick the right vertex of lowest degree to start with -- if you start by picking $5$, you'll only end up with a set of size $3$.
Jan 26, 2013 at 0:21 comment added Felix Goldberg Nice! I used to think that this procedure produces the Caro-Wei bound, which I checked straight away and got only 2. Turns out that its stronger - this paper (pirate.shu.edu/~kahlnath/indnum.pdf) attributes the procedure and the resultant bound to Murphy (section 3).
Jan 26, 2013 at 0:13 history answered Ami Paz CC BY-SA 3.0