First a vertex is selected arbitrarily. on each iteration we expand the tree by simply attaching to it the nearest vertex not in the tree. the algorithm stops after all yhe graph vertices have been included.. one main criteria is the tree should not be cyclic.
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All three algorithms basically do the same thing in slightly different ways. They were all discovered around the same time (1956/7), however Prim's algorithm was originally discovered in 1930 by Vojtěch Jarník, and "rediscovered" by Dijkstra in 1959. Dijkstra's algorithm was optimised in 1984 by Michael Lawrence Fredman and Robert E. Tarjan, and can be found in most network routing protocols today.
How they differ is merely one of implementation and time complexity. In much the same way that heap-sort and quicksort do the same thing in different ways but with differing time complexity.
Prim's algorithm is a 'graph algorithm' which uses a 'greedy approach' to find the minimum spanning tree of a graph.
Once an algorithm has been devised it become necessary to show that it works it computer the correct to all possible, legal input. One simply way is to code into a program. However converting the algorithm into program is a time consuming process. Hence,it is essential to be reasonably sure about the effectiveness of the algorithm beforeit is coded. This process, at the algorithm level,is called"validation". Several mathematical and other empirical method of validation are available. Providing the validation of an algorithm is a fairly complex process and most often a complete theoritical validation though desirable, mey not be provided. Alternately, algorithm segment,which have been proved elsewhere may be used and the overall working algorithm may be empirically validated for several test cases.Such method,although suffice in most cases,may often lead to the presence of unidentified bugs or side effect later on. And The process of measuring the effectiveness of an algorithm before it is coded to know the algorithm is correct for every possible input.This process is called validation. Example :- This article describes the algorithms for validating bank routing numbers and credit card numbers using the checksum built into the number. While they differ in how they are generated, the technique used for both is similar. by Niraj Sharma
An algorithm is written in simple English and is not a formal document. An algorithm must: - be lucid, precise and unambiguous - give the correct solution in all cases - eventually end Also note it is important to use indentation when writing solution algorithm because it helps to differentiate between the different control structures. 1) Finiteness: - an algorithm terminates after a finite numbers of steps. 2) Definiteness: - each step in algorithm is unambiguous. This means that the action specified by the step cannot be interpreted (explain the meaning of) in multiple ways & can be performed without any confusion. 3) Input:- an algorithm accepts zero or more inputs 4) Output:- it produces at least one output. 5) Effectiveness:- it consists of basic instructions that are realizable. This means that the instructions can be performed by using the given inputs in a finite amount of time.
You sort a doubly linked list the same way you sort any other kind of list or array. You implement a procedure to sort the list or array, and that procedure calls the appropriate insert, delete, or move methods of the list or array.
Yes, but overloads cannot differ by return type alone. The signatures must differ by the number and/or the type of the arguments.
its backwards