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math.CO2026
On Balance, To What Degree is Burr's Conjecture True?
Shagnik Das, Bruce Reed, Jozef Skokan
For many trees , the Ramsey number of , denoted by , is determined by the sizes of the partition classes in its unique bipartition. In 1976, Burr proved that…
math.CO2026
New results on the odd- and unique-Ramsey numbers
Shagnik Das, Ying-Sian Wu
The odd-Ramsey number of a graph is the minimum number of colors needed to edge-color so that in every copy of some color occurs an odd number o…