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also known as the Hungarian method, Kuhn–Munkres
algorithm or Munkres assignment.
-The Hungarian algorithm solves the minmum bipartite
+The Hungarian algorithm solves the minimum bipartite
matching problem in 𝓞(n⁴). By implementing the priority
queue with a van Emde Boas tree the time can be
reduced to 𝓞(n³ log log n). The van Emde Boas tree
-is possible to use because the elements values are
+is possible to use because the element values are
bounded within the priority queue's capacity.
-However this implemention achives 𝓞(n³) by not using
+However, this implementation achieves 𝓞(n³) by not using
a priority queue.
-Edmonds and Karp, and independently Tomizawa, has
+Edmonds and Karp, and independently Tomizawa, have
also reduced the time complexity to 𝓞(n³), but I
-do not known how.
+do not know how.