Draw the Graph If possible, draw an example of each graph as described. Otherwise, describe why such a graph does not exist. Unless otherwise specified, each graph is undirected and has exactly 5 nodes. Please use uppercase letters starting at A to index the nodes of your graph. Remember, a simple path is a sequence of unique, adjacent edges. (a) A graph where every node has degree 2. (b) An acyclic graph with a node with degree 3 and a different node with degree 2. (c) A rooted tree of height 2.
Draw the Graph If possible, draw an example of each graph as described. Otherwise, describe why such a graph does not exist. Unless otherwise specified, each graph is undirected and has exactly 5 nodes. Please use uppercase letters starting at A to index the nodes of your graph. Remember, a simple path is a sequence of unique, adjacent edges. (a) A graph where every node has degree 2. (b) An acyclic graph with a node with degree 3 and a different node with degree 2. (c) A rooted tree of height 2.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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
Transcribed Image Text:Draw the Graph
If possible, draw an example of each graph as described. Otherwise, describe why such a graph does
not exist. Unless otherwise specified, each graph is undirected and has exactly 5 nodes. Please use
uppercase letters starting at A to index the nodes of your graph.
Remember, a simple path is a sequence of unique, adjacent edges.
(a) A graph where every node has degree 2.
(b) An acyclic graph with a node with degree 3 and a different node with degree 2.
(c) A rooted tree of height 2.
(d) A weighted graph with exactly two distinct simple paths of weight 3 from A to E.
(e) A rooted tree of height 3 with 3 leaves.
(f) A strongly connected, directed graph with exactly 8 edges and A has in-degree 0.
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