We developed a $\Theta(n^3)$ algorithm, which is Floyd Algorithm, for determining the shortest paths from each vertex to all other vertices in a weighted, directed graph. If we wanted to know only the
Comparing the Algorithm Techniques for Minimum Spanning TreeThe number of edges in a connected graph is$$ n - 1 \leq m \leq \frac{n(n - 1)}{2}$$ 한 그래프에서 정점의 개수를 n이라고 할 때, 이음선 개수(m)의 범위는 n - 1개에서 부터 n
We will investigate two different greedy algorithms for minimum spanning trees, Prim’s algorithm and Kruskal’s algorithm. Each uses a different locally optimal property. 프림 알고리즘 대신 크러스컬 알고리즘을 이용해도 최소
Consider the problem of removing edges from a connected, weighted, undirected graph G to form a subgraph such that all the vertices remain connected and the sum of the weights on the remaining edges i
A simple example illustrates the greedy approach. Joe, the sales clerk, often encounters the problem of giving change for a purchase. Customers usually don’t want to receive a lot of coins. For exampl
Charles Dicken’s classic character Ebenezer Scrooge may well be the most greedy person ever, fictional or real. Recall that Scrooge never considered the past or future. Each day his only drive was to