One type of this structure proposed by Bentley quickly finds the nearest neighbor of an input, and its elements represent splitting planes. A proof of the n log(n) lower bound for comparison based sorting builds one of these structures, and notes it must have at least n factorial of a certain type of element. The inverse Ackermann function appears when analyzing an algorithm that uses a union-find data structure to find one of these structures. A greedy algorithm by Kruskal finds the minimum spanning type of this structure. For 10 points, name these acyclic graphs with root and leaf nodes.
One type of this structure proposed by Bentley quickly finds the nearest neighbor of an input, and its elements represent splitting planes. A proof of the n log(n) lower bound for comparison based sorting builds one of these structures, and notes it must have at least n factorial of a certain type of element. The inverse Ackermann function appears when analyzing an algorithm that uses a union-find data structure to find one of these structures. A greedy algorithm by Kruskal finds the minimum spanning type of this structure. For 10 points, name these acyclic graphs with root and leaf nodes.
One type of this structure proposed by Bentley quickly finds the nearest neighbor of an input, and its elements represent splitting planes.