ShortestPathSpanningTree[g,v]
constructs a shortest-path spanning tree rooted at v, so that a shortest path in graph g from v to any other vertex is a path in the tree.
ShortestPathSpanningTree
ShortestPathSpanningTree[g,v]
constructs a shortest-path spanning tree rooted at v, so that a shortest path in graph g from v to any other vertex is a path in the tree.
更多信息和选项
- ShortestPathSpanningTree functionality is now available in the built-in Wolfram Language function FindSpanningTree.
- To use ShortestPathSpanningTree, you first need to load the Combinatorica Package using Needs["Combinatorica`"].
- An option Algorithm that takes on the values Automatic, Dijkstra, or BellmanFord is provided. This allows a choice between Dijkstra's algorithm and the Bellman–Ford algorithm.
- The default is Algorithm->Automatic. In this case, depending on whether edges have negative weights and depending on the density of the graph, the algorithm chooses between BellmanFord and Dijkstra.
范例
基本范例 (2)
Needs["Combinatorica`"]g = FromAdjacencyMatrix[{{0, 1, 1, 1}, {1, 0, 1, 0}, {1, 1, 0, 1}, {1, 0, 1, 0}}];ShowGraph[g]ShortestPathSpanningTree[g, 1];ShowGraph[%]ShortestPathSpanningTree has been superseded by FindSpanningTree:
g = AdjacencyGraph[{{0, 1, 1, 1}, {1, 0, 1, 0}, {1, 1, 0, 1}, {1, 0, 1, 0}}]FindSpanningTree[g, 1]相关指南
-
▪
- Graph Algorithms ▪
- Graphs & Networks ▪
- Graph Visualization ▪
- Computation on Graphs ▪
- Graph Construction & Representation ▪
- Graphs and Matrices ▪
- Graph Properties & Measurements ▪
- Graph Operations and Modifications ▪
- Statistical Analysis ▪
- Social Network Analysis ▪
- Graph Properties ▪
- Mathematical Data Formats ▪
- Discrete Mathematics
文本
Wolfram Research (2012),ShortestPathSpanningTree,Wolfram 语言函数,https://reference.wolfram.com/language/Combinatorica/ref/ShortestPathSpanningTree.html.
CMS
Wolfram 语言. 2012. "ShortestPathSpanningTree." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/ShortestPathSpanningTree.html.
APA
Wolfram 语言. (2012). ShortestPathSpanningTree. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/Combinatorica/ref/ShortestPathSpanningTree.html 年
BibTeX
@misc{reference.wolfram_2026_shortestpathspanningtree, author="Wolfram Research", title="{ShortestPathSpanningTree}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ShortestPathSpanningTree.html}", note=[Accessed: 11-July-2026]}
BibLaTeX
@online{reference.wolfram_2026_shortestpathspanningtree, organization={Wolfram Research}, title={ShortestPathSpanningTree}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ShortestPathSpanningTree.html}, note=[Accessed: 11-July-2026]}