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patternMinor

Graph partitioning with parts of equal size

Submitted by: @import:stackexchange-cs··
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graphwithequalsizepartspartitioning

Problem

Partition an undirected graph of $n$ nodes into $k$ subgraphs so that total vertices inside all subgraphs is maximum.

Restriction: all subgraphs have the same number of nodes (so $k$ divides $n$); $k$ is given initially.

I'd like to receive pointers to the solution as well as papers or blogs related to or expanding on it.

Solution

Your problem is a special case of graph partitioning. When $k=2$, the problem is known as minimum bisection, and is NP-complete.

Context

StackExchange Computer Science Q#104596, answer score: 2

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