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Normally a potential y satisfies yr = 0 and 0 ³ yw - cvw -yv. Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ yw - cvw -yv. Show that for a K-potential y we have that for each node v, yv is within Kn of being the cost of an optimal r-v dipath, i.e. show c(P) + Kn ³ yv for any r to v dipath P in G. HINT: Generalize our proposition from class that said that for a normal potential y, c(P)³yv for any r to v dipath P in G.
Q. Explain Dijkstra's algorithm for finding the shortest path in the graph given to us. Ans: The Dijkstra's algorithm: This is a problem which is concerned with finding
Containers Introduction Simple abstract data types are useful for manipulating simple sets of values, such as integers or real numbers however more complex abstract data t
infix to revrse polish
There are three kinds of tree traversals, namely, Postorder , Preorder and Inorder. Preorder traversal: Each of nodes is visited before its children are visited; first the roo
Consider the following 5-city traveling salesman problem. The distance between each city (in miles) is shown in the following table: (a) Formulate an IP whose solution will
Q. Construct a complete binary tree with depth 3 for this tree which is maintained in the memory using the linked representation. Make the adjacency list and adjacency matrix for t
One can change a binary tree into its mirror image by traversing it in Postorder is the only proecess whcih can convert binary tree into its mirror image.
Explain an efficient way of storing two symmetric matrices of the same order in memory. A n-square matrix array is said to be symmetric if a[j][k]=a[k][j] for all j and k. For
write an algorithm to find the average number of occurances of MECHANIL in an english passage
Technique for direct search is Hashing is the used for direct search.
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