Minimum Spanning Tree in Mathematica

Welcome to the Minimum Spanning Tree in Mathematica page! Here, you'll find the source code for this program as well as a description of how the program works.

Current Solution

(* Code *)

(* This is easy to do using Mathematica graph operations: *)

minimumSpanningTreeWeight = am \[Function] Module[
    {g = WeightedAdjacencyGraph[am /. 0 -> \[Infinity] (* needed to indicate no edge *)]},
    Total[PropertyValue[
      {g, EdgeList[FindSpanningTree[g, Method -> "Prim"]]},
      EdgeWeight]]];

(* The outer function provides the 'user interface': *)

minimumSpanningTreeWeightMain = l \[Function]
   Module[{e = "Usage: please provide a comma-separated list of integers"},
    Catch[
     minimumSpanningTreeWeight@
        (* convert to square matrix *)
        Partition[#,
         (* compute square dimension *)
         Module[{l = Sqrt[Length[#]]}, 
          If[IntegerQ[l], l, Throw[e]]]] & @
      Map[
       (* convert string to integer, or throw *)
       s \[Function] If[StringMatchQ[s, DigitCharacter ..],
         FromDigits[s],
         Throw[e]],
       (* construct arguments to spanning tree: 
       weighted adjacency matrix *)
       StringSplit[If[StringLength[l] > 0, l, Throw[e]], ", "],
       {-1} (* at each leaf *)]]];


(* Valid Tests *)

minimumSpanningTreeWeightMain["0, 2, 0, 6, 0, 2, 0, 3, 8, 5, 0, 3, 0, 0, 7, 6, 8, 0, 0, 9, 0, 5, 7, 9, 0"]


(* Invalid Tests *)

minimumSpanningTreeWeightMain[""]
minimumSpanningTreeWeightMain["1, 0, 3, 0, 5, 1"]

Minimum Spanning Tree in Mathematica was written by:

• Ben Hekster

If you see anything you'd like to change or update, please consider contributing.

How to Implement the Solution

No 'How to Implement the Solution' section available. Please consider contributing.

How to Run the Solution

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