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L. B. Richmond

Publications and source records attributed to L. B. Richmond.

2 recordsLinked to original sources

A non-constructive proof of the Four Colour Theorem

The approach is through a singularity analysis of generating functions for 3- and 4-connected triangulations, asymptotic analysis, properties of the ${{}_3F_2}$ hypergeometric series, and Tutte's enumerative work on planar maps and chromatic polynomials.

math.CO↗

Counting Abelian Squares

An abelian square is a string of length 2n where the last n symbols form a permutation of the first n symbols. In this note we count the number of abelian squares and give an asymptotic estimate of this quantity.

math.CO↗