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JCT
2006
100views more  JCT 2006»
13 years 5 months ago
Enumeration of unrooted maps of a given genus
Let Ng(f ) denote the number of rooted maps of genus g having f edges. An exact formula for Ng(f ) is known for g = 0 (Tutte, 1963), g = 1 (Arques, 1987), g = 2,3 (Bender and Canf...
Alexander Mednykh, Roman Nedela
JCT
2010
113views more  JCT 2010»
13 years 4 months ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman