On Thu, 3 Nov 2011, [email protected] wrote:

With Linear Programming you get fractional answers; UNLESS the coefficient matrix is totally unimodular and the b vector has all integer components.

That is certainly sufficient, but it is not necessary.
min y
st
   2x + 3y >= 5
  -2x + 3y >= 1
No total unimodularity here.

Also, most leaf nodes are not totally unimodular.

--
Michael   [email protected]
"Pessimist: The glass is half empty.
Optimist:   The glass is half full.
Engineer:   The glass is twice as big as it needs to be."

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