Several algorithms for the minimum spanning tree are known. The Blue-red algorithm is a generic algorithm in this field. A new proof for this algorithm is presented, based upon the duality of circuits and cuts in a graph. The Blue-red algorithm is genetic, because the other algorithms can be regarded as special instances. This is shown using the same duality.

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Erasmus School of Economics
hdl.handle.net/1765/40236
Econometric Institute Research Papers
Report / Econometric Institute, Erasmus University Rotterdam
Erasmus School of Economics

Pijls, W. (2013). The minimum spanning tree and duality in graphs (No. EI2013-14). Report / Econometric Institute, Erasmus University Rotterdam (pp. 1–8). Retrieved from http://hdl.handle.net/1765/40236