查找最小(边缘)重量(边缘)的同构子图
我有一个无方向的图形 g ,具有边缘权重,想找到与其他给定的图形 h 异构的子图形,以便在所有边缘权重的总和中子图最小。 h 也是无方向性的,但没有任何边缘权重,可以断开连接。
- 是否有算法可以找到最小的子图?
- 如果 g 是一个完全连接的图表,是否可以简化问题?
- 后续:如果 h 也具有边缘权重,目标是最大程度地减少 f的总和(w h ,w >)对于 h 中边缘的重量的某些功能 f 及其在 g 的子图中的相应边缘
I have an undirected graph G with edge weights and want to find a sub-graph that is isomorph to some other given graph H, such that the sum of all edge weights in the sub-graph is minimal. H is undirected as well but doesn't have any edge weights and can be disconnected.
- Is there an algorithm to find the minimal sub-graph?
- If G is a fully connected graph, does that simplify the problem?
- Follow-up: what if H also has edge weights and the goal is to minimize the sum of f(wH, wG) for some function f of the weights of an edge in H and its corresponding edge in the sub-graph of G
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