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math.CO2009★ 48 cited
Counting colored planar maps: algebraicity results
Olivier Bernardi, Mireille Bousquet-Mélou
We address the enumeration of properly q-colored planar maps, or more precisely, the enumeration of rooted planar maps M weighted by their chromatic polynomial χ_M(q) and counted b…
math.CO2009
Perfect matchings for the three-term Gale-Robinson sequences
Mireille Bousquet-Mélou, James Propp, Julian West
In 1991, David Gale and Raphael Robinson, building on explorations carried out by Michael Somos in the 1980s, introduced a three-parameter family of rational recurrence relations,…