图遍历算法的名称

Question

What I'm looking for is a comprehensive list of graph traversal algorithms, with brief descriptions of their purpose, as a jump off point for researching them. So far I'm aware of:

• Dijkstra's - single-source shortest path
• Kruskal's - finds a minimum spanning tree

What are some other well-known ones? Please provide a brief description of each algorithm to each of your answers.

Answer 1

the well knowns are :

• Depth-first search http://en.wikipedia.org/wiki/Depth-first_search
• Breadth-first search http://en.wikipedia.org/wiki/Breadth-first_search
• Prim's algorithm http://en.wikipedia.org/wiki/Prim's_algorithm
• Kruskal's algorithm http://en.wikipedia.org/wiki/Kruskal's_algorithm
• Bellman–Ford algorithm http://en.wikipedia.org/wiki/Bellman%E2%80%93Ford_algorithm
• Floyd–Warshall algorithm http://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm
• Reverse-delete algorithm http://en.wikipedia.org/wiki/Reverse-Delete_algorithm
• Dijkstra's_algorithm http://en.wikipedia.org/wiki/Dijkstra's_algorithm

network flow

• Ford–Fulkerson algorithm http://en.wikipedia.org/wiki/Ford%E2%80%93Fulkerson_algorithm
• Maximum Flow http://en.wikipedia.org/wiki/Maximum_flow_problem

Answer 2

A few off of the top of my head:

Depth-first and Breadth-first traversals, really just two different ways of touching all of the nodes.

Floyd-Warshall algorithm finds the shortest paths between any pair of points, in (big-theta)(v^3) time.

Prim's algorithm is an alternative to Kruskal's for MST.

There are also algorithms for finding fully connected components, which are groups of nodes where you can get from any member in the component to any other member. This only matters for "directed graphs", where you can traverse an edge only one direction.

Personally, I think the coolest extension of graph theory (not exactly related to your question, but if you're interested in learning more about graphs in general its certainly worth your while) is the concepts of "flow networks": http://en.wikipedia.org/wiki/Flow_network . It is a way of computing about, say, how much electricity can one distribute over houses with a variety of power needs and requirements, and a variety of power stations.

Answer 3

Graph algorithms

• http://en.wikipedia.org/wiki/List_of_algorithms#Graph_algorithms

All algorithms in one place

• http://en.wikipedia.org/wiki/List_of_algorithms

Dictionary of algorithms and data structures:

• Dictionary: http://xlinux.nist.gov/dads/

• By area: http://xlinux.nist.gov/dads/termsArea.html

• By terms type: http://xlinux.nist.gov/dads/termsType.html

• List of all implementations in diff. languages: http://xlinux.nist.gov/dads/termsImpl.html