Prim's algorithm is used to find the minimum spanning tree in a graph."
- "Prim算法用于在图中找到最小生成树。"
The computer science student applied Prim's method to solve the network optimization problem."
- "这位计算机科学的学生应用了Prim的方法来解决网络优化问题。"
In graph theory, Prim's algorithm is a key concept for data analysis."
- "在图论中，Prim算法是数据分析的关键概念。"
Prim's algorithm starts with an arbitrary vertex and gradually builds the minimum spanning tree."
- "Prim算法从任意一个顶点开始，然后逐渐构建最小生成树。"
When dealing with weighted graphs, Prim's technique proves to be highly efficient."
- "在处理带权重的图时，Prim的技术证明是非常高效的。"
The time complexity of Prim's algorithm is O(E log V), where E is the number of edges and V is the number of vertices."
- "Prim算法的时间复杂度为O(E log V)，其中E是边的数量，V是顶点的数量。"
Prim's algorithm can be implemented using priority queues, ensuring the optimal solution is found quickly."
- "Prim算法可以通过使用优先队列实现，确保快速找到最优解。"
It's crucial to understand the working principle of Prim's algorithm to solve complex graph-related problems."
- "理解Prim算法的工作原理对于解决复杂的图相关问题是至关重要的。"
Many popular graph libraries, such as NetworkX in Python, have built-in functions for executing Prim's algorithm."
- "许多流行的图库，如Python中的NetworkX，都有内置的函数来执行Prim算法。"
Comparing Kruskal's algorithm with Prim's algorithm, both find the minimum spanning tree, but their approaches differ."
- "比较Kruskal算法和Prim算法，两者都找到最小生成树，但它们的方法不同。"
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