English

An algorithm for finding the Independence Number of a graph

Discrete Mathematics 2008-01-09 v4 Data Structures and Algorithms

Abstract

In this paper, we prove that for every connected graph G, there exists a split graph H with the same independence number and the same order. Then we propose a first algorithm for finding this graph, given the degree sequence of the input graph G. Further, we propose a second algorithm for finding the independence number of G, given the adjacency matrix of G.

Keywords

Cite

@article{arxiv.0801.0590,
  title  = {An algorithm for finding the Independence Number of a graph},
  author = {Omar Kettani},
  journal= {arXiv preprint arXiv:0801.0590},
  year   = {2008}
}

Comments

15 pages; a corrected proof for the second method is added

R2 v1 2026-06-21T09:59:24.985Z