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# LEDA Graph Win

LEDA Graph Win. Emanuele Altieri October 31, 2000. Vertices and edges. Multiple edges. Loops. Undirected Graph. Directed Graph. Simple Graph. The graph doesn’t have multiple edges. Complete and Bipartite Graphs. Complete Graph All of the nodes in the Graph are connected each other.

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## LEDA Graph Win

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1. LEDA Graph Win Emanuele Altieri October 31, 2000

2. Vertices and edges

3. Multiple edges. Loops

4. Undirected Graph

5. Directed Graph

6. Simple Graph The graph doesn’t have multiple edges

7. Complete and Bipartite Graphs Complete Graph All of the nodes in the Graph are connected each other. Bipartite Graph The nodes in the graph are divided into two classes. Edges exist only between nodes of different classes.

8. Path in Undirected Graphs Simple path. The sub-graph is connected and has two first-degree nodes (0 and 6). The other nodes of the sub-graph are second-degree.

9. Path in Directed Graphs Simple path. The sub-graph is connected and has one zero-indegree source node (0), and one zero-outdegree destination node (5). The other nodes of the sub-graph are second-degree (1 in/out degree).

10. Hamilton Path in Undirected Graphs The subgraph is a simple path which spans all of the nodes in the graph

11. Hamilton Path in Directed Graphs The subgraph is a simple path which spans all of the nodes in the graph

12. Cycle in Undirected Graphs The bold subgraph above is connected and its vertices are second-degree.

13. Cycle in Directed Graphs The subgraph is connected and its vertices are 1 indegree and 1 outdegree

14. Hamilton Cycle in Undirected Graphs The subgraph is a simple cycle which includes all of the nodes in the graph

15. Hamilton Cycle in Directed Graphs The subgraph is a simple cycle which includes all of the nodes in the graph

16. Cyclic and Acyclic Digraphs Cyclic Graph The graph contains cycles Acyclic Graph The graph does not contain cycles

17. Tree The subgraph is a path which is a tree

18. Forest

19. Strongly Connected Digraph The graph is connected. All of the nodes in the graph are strongly connected each other.

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