On the algebraic complexity of some families of coloured Tutte polynomials

Martin Lotz, Johann A. Makowsky
2004 Advances in Applied Mathematics  
We investigate the coloured Tutte polynomial in Valiant's algebraic framework of NP-completeness. Generalising the well-known relationship between the Tutte polynomial and the partition function from the Ising model, we establish a reduction from the permanent to the coloured Tutte polynomial, thus showing that its evaluation is a VNP-COMPLETE problem.
doi:10.1016/s0196-8858(03)00087-3 fatcat:4ui5xgsqzffilkh4valptjqr74