please help thank you Graph TaxonomyIf 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.

Name: please help thank you Graph TaxonomyIf possible, draw an example of ea
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: please help thank you Graph TaxonomyIf 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

Given:- 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.Solution:- (i) Every pair of nodes have an edges. so , a closed path exist. Hence, it is not possible. (ii) B-root (iii) A simple graph with out cycle which satisfy connected. Hence, it is not possible for tree . parallel edge - cycle loop - cycle It is possible when only disconnected graph. (IV) (V) V = 5 52=3(VI)