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Question 4: Find the Shortest Path Tree for the given graph using Dijkstra’s algorithm and write
all the steps. The source is from “Home”

Mall
3
Hospital
5
Home
3
1
7
6
5
Grocery
Park
10
3
6
3
School

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Question 4: Find the Shortest Path Tree for the given graph using Dijkstra's algorithm and write the steps. The source is from "Home" Mall 3 Hospital S Home W 5 Grocery Park 10 3 لیا 9 3 School
Kruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from edgeList that belong to the minimum spanning tree. edgeList result List AD BC BE CF EF DG EG EH GH D 7 9 G 1 B 5 3 A E H 4 2 6 8 F
3. Kleinberg, Jon. Algorithm Design (p. 519, q. 28) Consider this version of the Independent Set Problem. You are given an undirected graph G and an integer k. We will call a set of nodes I "strongly independent" if, for any two nodes v, u € I, the edge (v, u) is not present in G, and neither is there a path of two edges from u to v. That is, there is no node w such that both (v, w) and (u, w) are present. The Strongly Independent Set problem is to decide whether G has a strongly independent set of size at least k. Show that the Strongly Independent Set Problem is NP-Complete.
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No code please and thank you.
How many spanning trees does the following graph have?