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(Solved): 1. The diagram shows a graph representation (G) of an internet, with costs associated with the edge ...
1. The diagram shows a graph representation of an internet, with costs associated with the edges. a. Show three (3) spanning trees of , rooted at three different nodes. b. Show 2 least cost trees, each rooted at one of two chosen nodes. c. Show the initial distance vectors at three different nodes, at the start of their execution of the Distance Vector Routing algorithm. d. Show the updates of distance vectors at three different nodes, after each of the three nodes receives three distance vectors, from other nodes. e. Show the initial shared Link State Database created at the nodes, at the start of the execution of the Link State Routing Algorithm, at each node. f. Show the next three link state packets that will be created and sent out by 3 chosen nodes. Show the corresponding Link State Database updates that results. Then, show the construction of least cost trees that occurs at two nodes, using Dijkstra Algorithm. g. Devise a Path-Vector Routing for a chosen node in graph .
Expert Answer
a. Three possible spanning trees rooted at A, C, and E respectively:Three Spanning Trees:A spanning tree is a subgraph of a graph that includes all the vertices of the original graph while forming a tree structure without any cycles. In this case, we are asked to provide three spanning trees rooted at different nodes.For example, the spanning tree rooted at node A includes the edges A<->B, A<->C, A<->D, E<->B, E<->D, and D<->F. This tree covers all the nodes (A, B, C, D, E, F) and forms a connected acyclic structure