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graph implementation with kruskal's algorithm, includes partition sets
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deesims/klusters
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** CLusters2DTest123: testing MyGraph, KruskalAlgorithms, Partition
** the graph is complete with vertices representing points in the first figure in handout.
** the 3 clusters (size 9,12,16) to be constructed must correspond to the clusters in the second figure in the handout.
Creating graph
v0:(41,45)
v1:(39,44)
v2:(42,43)
v3:(44,43)
v4:(10,42)
v5:(38,42)
v6:(8,41)
v7:(41,41)
v8:(13,40)
v9:(45,40)
v10:(7,39)
v11:(38,39)
v12:(42,39)
v13:(9,38)
v14:(12,38)
v15:(19,38)
v16:(25,38)
v17:(6,37)
v18:(13,35)
v19:(9,34)
v20:(12,34)
v21:(32,27)
v22:(26,25)
v23:(39,24)
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v25:(37,23)
v26:(22,22)
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v28:(35,20)
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v30:(26,16)
v31:(38,13)
v32:(29,11)
v33:(34,11)
v34:(37,10)
v35:(40,9)
v36:(42,9)
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e={v22:(26,25),v27:(38,21)} dist=12.649110640673518
e={v22:(26,25),v28:(35,20)} dist=10.295630140987
e={v22:(26,25),v29:(31,18)} dist=8.602325267042627
e={v22:(26,25),v30:(26,16)} dist=9.0
e={v22:(26,25),v31:(38,13)} dist=16.97056274847714
e={v22:(26,25),v32:(29,11)} dist=14.317821063276353
e={v22:(26,25),v33:(34,11)} dist=16.1245154965971
e={v22:(26,25),v34:(37,10)} dist=18.601075237738275
e={v22:(26,25),v35:(40,9)} dist=21.2602916254693
e={v22:(26,25),v36:(42,9)} dist=22.627416997969522
e={v23:(39,24),v24:(34,23)} dist=5.0990195135927845
e={v23:(39,24),v25:(37,23)} dist=2.23606797749979
e={v23:(39,24),v26:(22,22)} dist=17.11724276862369
e={v23:(39,24),v27:(38,21)} dist=3.1622776601683795
e={v23:(39,24),v28:(35,20)} dist=5.656854249492381
e={v23:(39,24),v29:(31,18)} dist=10.0
e={v23:(39,24),v30:(26,16)} dist=15.264337522473747
e={v23:(39,24),v31:(38,13)} dist=11.045361017187261
e={v23:(39,24),v32:(29,11)} dist=16.401219466856727
e={v23:(39,24),v33:(34,11)} dist=13.92838827718412
e={v23:(39,24),v34:(37,10)} dist=14.142135623730951
e={v23:(39,24),v35:(40,9)} dist=15.033296378372908
e={v23:(39,24),v36:(42,9)} dist=15.297058540778355
e={v24:(34,23),v25:(37,23)} dist=3.0
e={v24:(34,23),v26:(22,22)} dist=12.041594578792296
e={v24:(34,23),v27:(38,21)} dist=4.47213595499958
e={v24:(34,23),v28:(35,20)} dist=3.1622776601683795
e={v24:(34,23),v29:(31,18)} dist=5.830951894845301
e={v24:(34,23),v30:(26,16)} dist=10.63014581273465
e={v24:(34,23),v31:(38,13)} dist=10.770329614269007
e={v24:(34,23),v32:(29,11)} dist=13.0
e={v24:(34,23),v33:(34,11)} dist=12.0
e={v24:(34,23),v34:(37,10)} dist=13.341664064126334
e={v24:(34,23),v35:(40,9)} dist=15.231546211727817
e={v24:(34,23),v36:(42,9)} dist=16.1245154965971
e={v25:(37,23),v26:(22,22)} dist=15.033296378372908
e={v25:(37,23),v27:(38,21)} dist=2.23606797749979
e={v25:(37,23),v28:(35,20)} dist=3.605551275463989
e={v25:(37,23),v29:(31,18)} dist=7.810249675906654
e={v25:(37,23),v30:(26,16)} dist=13.038404810405298
e={v25:(37,23),v31:(38,13)} dist=10.04987562112089
e={v25:(37,23),v32:(29,11)} dist=14.422205101855956
e={v25:(37,23),v33:(34,11)} dist=12.36931687685298
e={v25:(37,23),v34:(37,10)} dist=13.0
e={v25:(37,23),v35:(40,9)} dist=14.317821063276353
e={v25:(37,23),v36:(42,9)} dist=14.866068747318506
e={v26:(22,22),v27:(38,21)} dist=16.0312195418814
e={v26:(22,22),v28:(35,20)} dist=13.152946437965905
e={v26:(22,22),v29:(31,18)} dist=9.848857801796104
e={v26:(22,22),v30:(26,16)} dist=7.211102550927978
e={v26:(22,22),v31:(38,13)} dist=18.35755975068582
e={v26:(22,22),v32:(29,11)} dist=13.038404810405298
e={v26:(22,22),v33:(34,11)} dist=16.278820596099706
e={v26:(22,22),v34:(37,10)} dist=19.209372712298546
e={v26:(22,22),v35:(40,9)} dist=22.20360331117452
e={v26:(22,22),v36:(42,9)} dist=23.853720883753127
e={v27:(38,21),v28:(35,20)} dist=3.1622776601683795
e={v27:(38,21),v29:(31,18)} dist=7.615773105863909
e={v27:(38,21),v30:(26,16)} dist=13.0
e={v27:(38,21),v31:(38,13)} dist=8.0
e={v27:(38,21),v32:(29,11)} dist=13.45362404707371
e={v27:(38,21),v33:(34,11)} dist=10.770329614269007
e={v27:(38,21),v34:(37,10)} dist=11.045361017187261
e={v27:(38,21),v35:(40,9)} dist=12.165525060596439
e={v27:(38,21),v36:(42,9)} dist=12.649110640673518
e={v28:(35,20),v29:(31,18)} dist=4.47213595499958
e={v28:(35,20),v30:(26,16)} dist=9.848857801796104
e={v28:(35,20),v31:(38,13)} dist=7.615773105863909
e={v28:(35,20),v32:(29,11)} dist=10.816653826391969
e={v28:(35,20),v33:(34,11)} dist=9.055385138137417
e={v28:(35,20),v34:(37,10)} dist=10.198039027185569
e={v28:(35,20),v35:(40,9)} dist=12.083045973594572
e={v28:(35,20),v36:(42,9)} dist=13.038404810405298
e={v29:(31,18),v30:(26,16)} dist=5.385164807134504
e={v29:(31,18),v31:(38,13)} dist=8.602325267042627
e={v29:(31,18),v32:(29,11)} dist=7.280109889280518
e={v29:(31,18),v33:(34,11)} dist=7.615773105863909
e={v29:(31,18),v34:(37,10)} dist=10.0
e={v29:(31,18),v35:(40,9)} dist=12.727922061357855
e={v29:(31,18),v36:(42,9)} dist=14.212670403551895
e={v30:(26,16),v31:(38,13)} dist=12.36931687685298
e={v30:(26,16),v32:(29,11)} dist=5.830951894845301
e={v30:(26,16),v33:(34,11)} dist=9.433981132056603
e={v30:(26,16),v34:(37,10)} dist=12.529964086141668
e={v30:(26,16),v35:(40,9)} dist=15.652475842498529
e={v30:(26,16),v36:(42,9)} dist=17.46424919657298
e={v31:(38,13),v32:(29,11)} dist=9.219544457292887
e={v31:(38,13),v33:(34,11)} dist=4.47213595499958
e={v31:(38,13),v34:(37,10)} dist=3.1622776601683795
e={v31:(38,13),v35:(40,9)} dist=4.47213595499958
e={v31:(38,13),v36:(42,9)} dist=5.656854249492381
e={v32:(29,11),v33:(34,11)} dist=5.0
e={v32:(29,11),v34:(37,10)} dist=8.06225774829855
e={v32:(29,11),v35:(40,9)} dist=11.180339887498949
e={v32:(29,11),v36:(42,9)} dist=13.152946437965905
e={v33:(34,11),v34:(37,10)} dist=3.1622776601683795
e={v33:(34,11),v35:(40,9)} dist=6.324555320336759
e={v33:(34,11),v36:(42,9)} dist=8.246211251235321
e={v34:(37,10),v35:(40,9)} dist=3.1622776601683795
e={v34:(37,10),v36:(42,9)} dist=5.0990195135927845
e={v35:(40,9),v36:(42,9)} dist=2.0
Initializing Kruskal Algorithms
Next it will group vertices in 3 clusters.
before Kruskal Algorithm
after Kruskal Algorithm
Clusters created by the algorithm:
Cluster 1 (size=9): v3:(44,43),v2:(42,43),v0:(41,45),v7:(41,41),v1:(39,44),v5:(38,42),v12:(42,39),v11:(38,39),v9:(45,40),
Cluster 2 (size=12): v13:(9,38),v10:(7,39),v17:(6,37),v6:(8,41),v4:(10,42),v14:(12,38),v8:(13,40),v20:(12,34),v18:(13,35),v19:(9,34),v16:(25,38),v15:(19,38),
Cluster 3 (size=16): v25:(37,23),v23:(39,24),v27:(38,21),v24:(34,23),v28:(35,20),v21:(32,27),v29:(31,18),v30:(26,16),v34:(37,10),v31:(38,13),v33:(34,11),v36:(42,9),v35:(40,9),v32:(29,11),v26:(22,22),v22:(26,25),
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graph implementation with kruskal's algorithm, includes partition sets
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