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Which nodes are sources? (Enter list with only one space between nodes.) Which nodes are sinks? (Enter list with only one space between nodes.) What is the length of the shortest path on this graph? What is the length of the longest path on this graph? Does this graph contain any cycles? (Enter yes or no)

Which nodes are sources? (Enter list with only one space between nodes.) Which nodes are sinks? (Enter list with only one space between nodes.) What is the length of the shortest path on this graph? What is the length of the longest path on this graph? Does this graph contain any cycles? (Enter yes or no)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Sources, Sinks, Paths, and Cycles** Consider the following graph: ### Graph Explanation The graph consists of 9 nodes labeled from 'a' to 'k'. The nodes are connected with directed edges as follows: - Node 'g' has edges going to nodes 'd' and 'h'. - Node 'h' has an edge going to node 'e'. - Node 'k' has an edge going to node 'f'. - Node 'd' has an edge going to node 'a'. - Node 'e' has edges going to nodes 'f' and 'b'. - Node 'f' has an edge going to node 'c'. - Node 'a' has an edge going to node 'b'. - Node 'b' has an edge going to node 'c'. ### Questions 1. **Which nodes are sources?** (Enter list with only one space between nodes.) 2. **Which nodes are sinks?** (Enter list with only one space between nodes.) 3. **What is the length of the shortest path on this graph?** 4. **What is the length of the longest path on this graph?** 5. **Does this graph contain any cycles?** (Enter yes or no)
Transcribed Image Text:**Sources, Sinks, Paths, and Cycles** Consider the following graph: ### Graph Explanation The graph consists of 9 nodes labeled from 'a' to 'k'. The nodes are connected with directed edges as follows: - Node 'g' has edges going to nodes 'd' and 'h'. - Node 'h' has an edge going to node 'e'. - Node 'k' has an edge going to node 'f'. - Node 'd' has an edge going to node 'a'. - Node 'e' has edges going to nodes 'f' and 'b'. - Node 'f' has an edge going to node 'c'. - Node 'a' has an edge going to node 'b'. - Node 'b' has an edge going to node 'c'. ### Questions 1. **Which nodes are sources?** (Enter list with only one space between nodes.) 2. **Which nodes are sinks?** (Enter list with only one space between nodes.) 3. **What is the length of the shortest path on this graph?** 4. **What is the length of the longest path on this graph?** 5. **Does this graph contain any cycles?** (Enter yes or no)
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