# Half-integral flow polynomial values

Let be the flow polynomial of a graph . So for every positive integer , the value equals the number of nowhere-zero -flows in .

**Conjecture**for every 2-edge-connected graph .

By Seymour's 6-flow theorem, for every 2-edge-connected graph and every integer .

It would be interesting to find any non-integer rational number so that for every 2-edge-connected graph . It is known that zeros of flow polynomials are dense in the complex plane.

## Bibliography

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