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We have discussed that the above Dijkstra's single source shortest-path algorithm works for graphs along with non-negative edges (like road networks). Given two scenarios can emerge out of negative cost edges into a graph:
Figure: A Graph with negative edge & non-negative weight cycle
The net weight of the cycle is 2(non-negative)
Figure: A graph with negative edge and negative weight cycle
The net weight of the cycle is 3(negative) (refer to above figure). The shortest path from A to B is not well defined as the shortest path to this vertex are infinite, that means , by traveling each cycle we can reduced the cost of the shortest path by 3, like (S, A, B) is path (S, A, B, A, B) is a path with less cost and so forth.
Dijkstra's Algorithm works only for directed graphs along non-negative weights (cost).
Z-Buffer Algorithm Also known as the Depth-Buffer algorithm, this image-space method simply selects for display the polygon or portion of a polygon that is nearest to the view
write an algorithm given each students name and grade points for six courses.find his grade point average and group students into the gpa groups 3.5
types of asymptotic notations
Q. A linear array A is given with lower bound as 1. If address of A[25] is 375 and A[30] is 390, then find address of A[16].
Q. Draw the structures of complete undirected graphs on one, two, three, four and five vertices also prove that the number of edges in an n vertex complete graph is n(n-1
Write down any four applications of the queues. Ans. A pp li cation of Queue is given below (i) Queue is
Multiplication Method: The multiplication method operates in 2 steps. In the 1ststep the key value K is multiplied by a constant A in the range O
i cant resolve a problem
A full binary tree with n leaves have:- 2n -1 nodes.
Let G=(V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected. a) Show that the vector x which is indexed by the edges E and for which xe = 1/5 for
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