Need help answering this graph taxonomy If possible, draw an example of each graph as described. Otherwise, describe why such a graphdoes not exist. Unless otherwise specified, each graph is undirected and has exactly 5 nodes. Pleaseuse uppercase letters starting at A to index the nodes of your graph.Remember, a path is a sequence of unique, adjacent edges.i An acyclic graph where every pair of nodes has an edge.ii A rooted tree where B is the rootiii A graph which contains no cycles but is not a tree.iv A weighted graph where every path from A to E has weight 2.v A rooted tree with the minimal number of leafs.vi A strongly connected, directed graph with the minimal number of edges. A strongly connecteddirected graph has a directed path between every permutation of two nodes. A directed pathis a sequence of adjacent edges which moves with the direction of the edges. Note that becausea directed path can't go 'backwards', we may not use the same path to connect A to B as wewould to connect B to A.

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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 path is a sequence of unique, adjacent edges. i An acyclic graph where every pair of nodes has an edge. ii A rooted tree where B is the root iii A graph which contains no cycles but is not a tree.

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 path is a sequence of unique, adjacent edges. i An acyclic graph where every pair of nodes has an edge. ii A rooted tree where B is the root iii A graph which contains no cycles but is not a tree.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Need help answering this graph taxonomy

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 path is a sequence of unique, adjacent edges.
i An acyclic graph where every pair of nodes has an edge.
ii A rooted tree where B is the root
iii A graph which contains no cycles but is not a tree.
iv A weighted graph where every path from A to E has weight 2.
v A rooted tree with the minimal number of leafs.
vi A strongly connected, directed graph with the minimal number of edges. A strongly connected
directed graph has a directed path between every permutation of two nodes. A directed path
is a sequence of adjacent edges which moves with the direction of the edges. Note that because
a directed path can't go 'backwards', we may not use the same path to connect A to B as we
would to connect B to A.

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ISBN:

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