Use Dijkstra's algorithm to find the shortest paths in the graph given below with a as the source vertex.
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Write an algorithm to find the first two largest numbers in an in array of integers. For example, given the input ,2 ,3 ,7 − ,4 ,1,5 the algorithm should output ,7 .5 State precisely a loop invariant for you algorithm. Prove that your loop invariant holds and hence conclude that your algorithm works.
Determine an LCS of (1, 1, 1, 1, 0, 1, 1, 0, 1, 0) and (1, 1, 1, 0, 0, 1, 1, 0, 1, 0).
Show the results of inserting the keys
C, R, A, U, J, S, F, T, O, P, M, L, N, W, Q
in order into an empty B-tree with minimum degree 2. Only draw the configurations of the tree just before some node must split, and also draw the final configuration.
Use Kruskal's algorithm to find a minimal spanning tree in the graph given below
Taking v1 as the root, find a spanning tree of the following graph using the breadth first search (BFS) algorithm.
Using bipartite checking algorithm find out whether the graph given below is bipartite or not.
Use Dijkstra's algorithm to find the shortest paths in the graph given below with a as the source vertex.