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Questions about graphs, discrete structures of nodes which are connected by edges, including trees and graphs with weighted edges.
3
votes
2
answers
1k
views
K-Clique in Connected Graphs
Is there any algorithm that takes advantage of the properties of connected graphs to find cliques of a given size k, if such cliques exist? …
6
votes
1
answer
2k
views
For what special cases does this vertex cover algorithm fail or work?
I've written the algorithm below; I know this problem is $\mathsf{NP}$-hard, which means there are probably some graphs for which this algorithm will not work. … I need some help in finding the flaw in this algorithm and also, an indication for what restrictions should be imposed on graphs such that this algorithm works. …