1) Using Kruskal’s algorithm, which edge should you choose second? 2) Using Kruskal’s algorithm, which edge should you choose fourth?

Wouldyou use the adjacency list structure or the adjacency matrix Strijc each of the following cases? Justify your choice. a. The graph has 10,000 vertices and 20,000 edges, and it is importan as little space as possible. b; The graph has 10,000 vertices and 20,000,000 edges, and it is impo use as little space as possible. c. You need to answer the query arëAdjacent as fast as possible, no how much space you use.

Please help... Adding one more vertices... highlighted with with bold... Let A, B, C, D be the vertices of a square with side length 100. If we want to create a minimum-weight spanning tree to connect these four vertices, clearly this spanning tree would have total weight 300 (e.g. we can connect AB, BC, and CD). But what if we are able to add extra vertices inside the square, and use these additional vertices in constructing our spanning tree? Would the minimum-weight spanning tree have total weight less than 300? And if so, where should these additional vertices be placed to minimize the total weight? Let G be a graph with the vertices A, B, C, D, and possibly one or more additional vertices that can be placed anywhere you want on the (two-dimensional) plane containing the four vertices of the square. Determine the smallest total weight for the minimum-weight