17 citations · 33 across the 12 of their papers we have counts for
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math.CO2023
Quantitative Transversal Theorems in the Plane
Ilani Axelrod-Freed, João Pedro Carvalho, Yuki Takahashi
Hadwiger's theorem is a Helly-type theorem involving common transversals to families of convex sets instead of common intersections. Subsequently, Pollack and Wenger identified a n…
math.CO2021
Graphs with prescribed radius, diameter, and center
Kelly Guest, Andrew Johnson, Peter Johnson +3
Among other things, it is shown that for every pair of positive integers , , satisfying , and every finite simple graph there is a connected graph with…
math.CO2021
Lifting methods in mass partition problems
Pablo Soberón, Yuki Takahashi
Many results in mass partitions are proved by lifting to a higher-dimensional space and dividing the higher-dimensional space into pieces. We extend such methods to…