Яшил иқтисодиёт ва тараққиёт Volume 3 Issue 9 (2025) · pp. 25-34
Solving the K-Cluster Optimization Problems in Combinatorial Optimization
Yaxshiyeva, Mavluda
Abstract
The optimization problem is demonstrated to be an NP-Hardness problem in this research using a sound methodology. First off, one of the most significant NP-hardness issues in combinatorial optimization is the K-cluster problem. Second, an issue is considered difficult if it cannot be resolved specifically (i.e., in polynomial time) by a workable algorithm. Additionally, the approach taken in this paper is to use a method to demonstrate that the problem is NP-Hard. If any problem from NP can be reduced to it, as shown by means reductions, then the problem is NP-Hard.
Graph clusteringK-cluster problemsemidefinite programming
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