Well, first of all, 30 and 40 are not prim numbers. Here is a list of prim numbers in that general neighborhood. There are others before and after these, but the answer to your question is most likely here in this list: . . . 19 . . 23 . . 29 . . 31 . . 37 . . 41 . . 43 . . 47 . . 53 . . 59 . . 61 . . .
AES
It makes problem solving become easier especial when counting large numbers
Cryptography is the study of hiding information using mathematical algorithms in such a way that the original information cannot be assertained from the resulting 'cyphercode' without knowledge of the specific 'key' required to undo the changes made by the algorithm.The algorithms used in cryptography are related to math, being mathematically founded, and so, by extension, cryptography is related to math.
The Fibonacci sequence is used in various fields such as mathematics, computer science, and biology. In mathematics, it appears in the analysis of financial markets, algorithms, and number theory. In computer science, it is used in algorithms for searching, sorting, and optimization. In biology, the Fibonacci sequence can be observed in the arrangement of leaves, branches, and petals in plants.
Both algorithms have the same efficiency and both are based on the same greedy approach. But Kruskal's algorithm is much easier to implement.
"What are difference between Prim's algorithm and Kruskal's algorithm for finding the minimum spanning tree of a graph?" Prim's method starts with one vertex of a graph as your tree, and adds the smallest edge that grows your tree by one more vertex. Kruskal starts with all of the vertices of a graph as a forest, and adds the smallest edge that joins two trees in the forest. Prim's method is better when * You can only concentrate on one tree at a time * You can concentrate on only a few edges at a time Kruskal's method is better when * You can look at all of the edges at once * You can hold all of the vertices at once * You can hold a forest, not just one tree Basically, Kruskal's method is more time-saving (you can order the edges by weight and burn through them fast), while Prim's method is more space-saving (you only hold one tree, and only look at edges that connect to vertices in your tree).
http://wiki.answers.com/Differences_between_prim's_and_kruskal'sexample http://wiki.answers.com/Differences_between_prim's_and_kruskal's
Complexity prim = O(E+ V logV). E edge and V vertex. kurskal = O(E lgV ).
The correctness of either Prim's or Kruskal's algorithm, is not affected by negative edges in the graph. They both work fine with negative edges. The question boils down to "Does a Priority Queue of numbers work with negative numbers?" because of the fact that both Prim's and Kruskal's algorithm use a priority queue. Of course -- as negative numbers are simply numbers smaller than 0. The "<" sign will still work with negative numbers.
Minimum spanning trees can be found using algorithms like Prim's algorithm or Kruskal's algorithm. These algorithms work by starting with an empty spanning tree and iteratively adding edges with the smallest weights until all vertices are connected. The resulting tree will have the minimum total weight possible.
William Kruskal was born in 1919.
Joseph Kruskal died in 2010.
Joseph Kruskal was born in 1928.
William Kruskal died in 2005.
Clyde Kruskal was born on 1954-05-25.
Martin David Kruskal was born on 1925-09-28.