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MINIMUM SPANNING TREE ALGORITHM

by Vikas.C.S
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 1 - Number 8
Year of Publication: 2010
Authors: Vikas.C.S
10.5120/185-321

Vikas.C.S . MINIMUM SPANNING TREE ALGORITHM. International Journal of Computer Applications. 1, 8 ( February 2010), 38-44. DOI=10.5120/185-321

@article{ 10.5120/185-321,
author = { Vikas.C.S },
title = { MINIMUM SPANNING TREE ALGORITHM },
journal = { International Journal of Computer Applications },
issue_date = { February 2010 },
volume = { 1 },
number = { 8 },
month = { February },
year = { 2010 },
issn = { 0975-8887 },
pages = { 38-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume1/number8/185-321/ },
doi = { 10.5120/185-321 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:45:12.915577+05:30
%A Vikas.C.S
%T MINIMUM SPANNING TREE ALGORITHM
%J International Journal of Computer Applications
%@ 0975-8887
%V 1
%N 8
%P 38-44
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

An algorithm for minimum spanning tree[1] is discussed here. Apart from the traditional Kruskal's[2] and Prim's[3] algorithm for finding the minimum spanning tree, yet another algorithm for the same purpose is described here. Initially we form a forest and then we convert the forest into the minimum spanning tree.

References
  1. Thomas.H.Corman, Charles.E.Leisserson, Ronald.L.Rivest & Clifford Stein, "Introduction To Algorithms" Second Edition, Page 561.
  2. Thomas.H.Corman, Charles.E.Leisserson, Ronald.L.Rivest & Clifford Stein, "Introduction To Algorithms" Second Edition, Page 567.
  3. Thomas.H.Corman, Charles.E.Leisserson, Ronald.L.Rivest & Clifford Stein, "Introduction To Algorithms" Second Edition, Page 577.
  4. http://en.wikipedia.org/wiki/Greedy_algorithm
  5. http://en.wikipedia.org/wiki/Travelling_salesman_problem
  6. http://en.wikipedia.org/wiki/Kruskal's_algorithm
  7. http://en.wikipedia.org/wiki/Prim%27s_algorithm
Index Terms

Computer Science
Information Sciences

Keywords

Graph: It is a collection of nodes. It mainly consists of two elements -vertices and edges. Vertex: It is simply drawn as a node or dot. Edge: It is a line connecting two vertices. Degree: It is the total number of edges incident on a vertex.

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