Van der Waerden's Colouring Theorem and Classical Spin Systems
  We find a non-invertible matrix representation for Van der Waerden's colouring theorem for two distinct colours in a one dimensional periodic lattice. Using this,an infinite one dimensional antiferromagnetic Ising system is mapped to a pseudo-ferromagnetic one, thereby relating the couplings. All this is reminiscent of renormalisation group. 
R.Chaudhury, D.Gangopadhyay and S.K.Paul