Generating functions are constructed for black-white polynomials of graphs, yielding rational forms for certain families, a matrix model for the exponential generating function over all graphs, and extensions for graphs with fixed loop number.
Etingof, Mathematical ideas and notions of quantum field theory , available from www-math.mit.edu/∼ etingof/, 2002
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Black-white polynomials of graphs and generating functions
Generating functions are constructed for black-white polynomials of graphs, yielding rational forms for certain families, a matrix model for the exponential generating function over all graphs, and extensions for graphs with fixed loop number.