My Erdös number appears to be 4:
 

Erdös -- Graham -- Sturmfels -- Bayer -- Brandt
 

There is also

Erdös -- Graham -- Eisenbud -- Yuzvinsky -- Terao -- Brandt

and

Erdös -- Herzog -- Lehrer -- Solomon -- Terao -- Brandt
 

Compute your Erdös number
 

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