[EM] Re: Markus' request

Ted Stern tedstern at mailinator.com
Thu Feb 17 09:30:05 PST 2005


On 17 Feb 2005 at 02:32 PST, Markus Schulze wrote:
>
> Also Jobst's mail doesn't contain a definition for Dutta's
> minimal covering set.
>

Hi Markus,

I asked Jobst about this in private email some time back.  Here's his reply:

On 12 Jan 2005 at 15:51 PST, Jobst Heitzig wrote:
> Dear Ted!
>
> A set A is a covering set if each candidate x from outside A is covered
> in A+{x}. In other words, if for each x from outside A there is some y
> in A with y>x but no z in A with x>z>y.
>
> The minimal covering set is the intersection of all covering sets. Dutta
> proved that this is itself a covering set. It is always contained in the
> uncovered set.
>
> If there is CW or a 3-cycle such that each other is beaten by at least 2
> of the 3 then this is the minimal covering set.
>
> Yours, Jobst

Ted
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