#Connected Components in an MAAF: 9 The leaf sets of the trees in an MAAF are: ( dummy 2 3 10 5 14 ) ( 8 ) ( 11 ) ( 13 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (12#H6,(9#H7,(1#H10,(((13#H4,(((14,8#H2),11#H3),4#H5)),6#H9),(8#H2,(11#H3,(13#H4,(4#H5,((12#H6,9#H7),(8#H2,(11#H3,(((4#H5,13#H4),(6#H9,(9#H7,12#H6))),(8#H2,(11#H3,((4#H5,13#H4),(8#H2,(11#H3,(13#H4,(((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14)))),(4#H5,7#H14)))))))))))))))))))) ********** End of Solution 1 ********** The leaf sets of the trees in an MAAF are: ( dummy 2 3 10 5 4 ) ( 14 ) ( 8 ) ( 11 ) ( 13 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(11#H3,(13#H4,(14#H1,(8#H2,(11#H3,(14#H1,(8#H2,(11#H3,(12#H6,(9#H7,(1#H10,(14#H1,(8#H2,(11#H3,(13#H4,((((((13#H4,(((14#H1,8#H2),11#H3),(4,7#H14))),6#H9),13#H4),13#H4),(6#H9,(9#H7,12#H6))),((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))))))))))))))))))))) ********** End of Solution 2 ********** The leaf sets of the trees in an MAAF are: ( dummy 4 14 ) ( 2 3 10 5 ) ( 8 ) ( 11 ) ( 13 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (12#H6,(9#H7,(1#H10,(((13#H4,(((14,8#H2),11#H3),(8#H2,(11#H3,(13#H4,((8#H2,(11#H3,((((8#H2,(11#H3,(((8#H2,(11#H3,(13#H4,(#H22,(4,7#H14))))),13#H4),#H22))),13#H4),(6#H9,(9#H7,12#H6))),#H22))),((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22))))))),6#H9),#H22)))) ********** End of Solution 3 ********** The leaf sets of the trees in an MAAF are: ( dummy 2 3 10 5 11 ) ( 14 ) ( 8 ) ( 13 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(14#H1,(8#H2,(14#H1,(8#H2,(12#H6,(9#H7,(1#H10,(14#H1,(8#H2,(((13#H4,(((14#H1,8#H2),11),4#H5)),6#H9),(13#H4,(4#H5,((12#H6,9#H7),(((4#H5,13#H4),(6#H9,(9#H7,12#H6))),((4#H5,13#H4),(13#H4,(((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14)))),(4#H5,7#H14)))))))))))))))))))) ********** End of Solution 4 ********** The leaf sets of the trees in an MAAF are: ( dummy 4 11 ) ( 2 3 10 5 ) ( 14 ) ( 8 ) ( 13 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(14#H1,(8#H2,(14#H1,(8#H2,(12#H6,(9#H7,(1#H10,(((13#H4,(14#H1,(8#H2,(((14#H1,8#H2),11),(13#H4,(((((((13#H4,(#H22,(4,7#H14))),13#H4),#H22),13#H4),(6#H9,(9#H7,12#H6))),#H22),((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22))))))),6#H9),#H22)))))))))) ********** End of Solution 5 ********** The leaf sets of the trees in an MAAF are: ( dummy 11 14 ) ( 2 3 10 5 ) ( 8 ) ( 13 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (12#H6,(9#H7,(1#H10,(((13#H4,(((14,8#H2),(8#H2,((8#H2,((8#H2,((8#H2,(11,(13#H4,(#H22,(4#H5,7#H14))))),((4#H5,13#H4),#H22))),(((4#H5,13#H4),(6#H9,(9#H7,12#H6))),#H22))),(13#H4,(4#H5,((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),4#H5)),6#H9),#H22)))) ********** End of Solution 6 ********** The leaf sets of the trees in an MAAF are: ( dummy 2 3 10 5 8 ) ( 14 ) ( 11 ) ( 13 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(14#H1,(14#H1,(12#H6,(9#H7,(1#H10,(14#H1,(((13#H4,(((14#H1,8),11#H3),4#H5)),6#H9),(11#H3,(13#H4,(4#H5,((12#H6,9#H7),(11#H3,(((4#H5,13#H4),(6#H9,(9#H7,12#H6))),(11#H3,((4#H5,13#H4),(11#H3,(13#H4,(((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14)))),(4#H5,7#H14)))))))))))))))))))) ********** End of Solution 7 ********** The leaf sets of the trees in an MAAF are: ( dummy 4 8 ) ( 2 3 10 5 ) ( 14 ) ( 11 ) ( 13 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(14#H1,(14#H1,(12#H6,(9#H7,(1#H10,(((13#H4,(14#H1,(((14#H1,8),11#H3),(11#H3,(13#H4,((11#H3,((((11#H3,(((11#H3,(13#H4,(#H22,(4,7#H14)))),13#H4),#H22)),13#H4),(6#H9,(9#H7,12#H6))),#H22)),((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22))))))),6#H9),#H22))))))) ********** End of Solution 8 ********** The leaf sets of the trees in an MAAF are: ( dummy 11 8 ) ( 2 3 10 5 ) ( 14 ) ( 13 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(14#H1,(14#H1,(12#H6,(9#H7,(1#H10,(((13#H4,((14#H1,((14#H1,8),((((11,(13#H4,(#H22,(4#H5,7#H14)))),((4#H5,13#H4),#H22)),(((4#H5,13#H4),(6#H9,(9#H7,12#H6))),#H22)),(13#H4,(4#H5,((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),4#H5)),6#H9),#H22))))))) ********** End of Solution 9 ********** The leaf sets of the trees in an MAAF are: ( dummy 8 14 ) ( 2 3 10 5 ) ( 11 ) ( 13 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (12#H6,(9#H7,(1#H10,(((13#H4,(((14,((((8,(11#H3,(13#H4,(#H22,(4#H5,7#H14))))),(11#H3,((4#H5,13#H4),#H22))),(11#H3,(((4#H5,13#H4),(6#H9,(9#H7,12#H6))),#H22))),(11#H3,(13#H4,(4#H5,((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),11#H3),4#H5)),6#H9),#H22)))) ********** End of Solution 10 ********** The leaf sets of the trees in an MAAF are: ( dummy 2 3 10 5 13 ) ( 14 ) ( 8 ) ( 11 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(11#H3,(14#H1,(8#H2,(11#H3,(14#H1,(8#H2,(11#H3,(12#H6,(9#H7,(1#H10,(14#H1,(8#H2,(11#H3,(((4#H5,(4#H5,((13,(((14#H1,8#H2),11#H3),4#H5)),6#H9))),(6#H9,(9#H7,12#H6))),(4#H5,((12#H6,9#H7),(((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14)))),(4#H5,7#H14)))))))))))))))))))) ********** End of Solution 11 ********** The leaf sets of the trees in an MAAF are: ( dummy 13 14 ) ( 2 3 10 5 ) ( 8 ) ( 11 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (12#H6,(9#H7,(1#H10,((((((14,8#H2),11#H3),4#H5),(8#H2,(11#H3,((8#H2,(11#H3,(((4#H5,(8#H2,(11#H3,((4#H5,(8#H2,(11#H3,(13,(#H22,(4#H5,7#H14)))))),#H22)))),(6#H9,(9#H7,12#H6))),#H22))),(4#H5,((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),6#H9),#H22)))) ********** End of Solution 12 ********** The leaf sets of the trees in an MAAF are: ( dummy 13 11 ) ( 2 3 10 5 ) ( 14 ) ( 8 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(14#H1,(8#H2,(14#H1,(8#H2,(12#H6,(9#H7,(1#H10,(((14#H1,(8#H2,((((14#H1,8#H2),11),4#H5),((((4#H5,((4#H5,(13,(#H22,(4#H5,7#H14)))),#H22)),(6#H9,(9#H7,12#H6))),#H22),(4#H5,((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),6#H9),#H22)))))))))) ********** End of Solution 13 ********** The leaf sets of the trees in an MAAF are: ( dummy 13 8 ) ( 2 3 10 5 ) ( 14 ) ( 11 ) ( 4 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(14#H1,(14#H1,(12#H6,(9#H7,(1#H10,(((14#H1,((((14#H1,8),11#H3),4#H5),(11#H3,((11#H3,(((4#H5,(11#H3,((4#H5,(11#H3,(13,(#H22,(4#H5,7#H14))))),#H22))),(6#H9,(9#H7,12#H6))),#H22)),(4#H5,((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),6#H9),#H22))))))) ********** End of Solution 14 ********** The leaf sets of the trees in an MAAF are: ( dummy 4 13 ) ( 2 3 10 5 ) ( 14 ) ( 8 ) ( 11 ) ( 6 ) ( 1 ) ( 7 ) ( 9 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(11#H3,(14#H1,(8#H2,(11#H3,(((14#H1,(8#H2,(11#H3,((12#H6,(9#H7,(1#H10,(((14#H1,(8#H2,(11#H3,(13,((((14#H1,8#H2),11#H3),(#H22,(4,7#H14))),((12#H6,9#H7),((((6#H9,((5,(6#H9,1#H10)),1#H10)),(12#H6,9#H7)),1#H10),(6#H9,(1#H10,(((((((10,7#H14),(3,2)),9#H7),12#H6),7#H14),7#H14),7#H14))))#H22)))))),6#H9),#H22)))),#H22)))),(6#H9,(9#H7,12#H6))),#H22))))))) ********** End of Solution 15 ********** The leaf sets of the trees in an MAAF are: ( dummy 9 12 ) ( 1 5 ) ( 14 ) ( 8 ) ( 11 ) ( 13 ) ( 4 ) ( 6 ) ( 7 ) ( 2 3 10 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(11#H3,(13#H4,(4#H5,((14#H1,(8#H2,(11#H3,(((4#H5,13#H4),(6#H9,(14#H1,(8#H2,(11#H3,((4#H5,13#H4),(((6#H9,#H22),(14#H1,(8#H2,(11#H3,(13#H4,(((12,((#H18,9),#H22)),#H22),(4#H5,7#H14))))))),#H18))))))),(#H22,(#H18,7#H14)))))),((((13#H4,(((14#H1,8#H2),11#H3),4#H5)),6#H9),(5,(#H18,7#H14))),(6#H9,((6#H9,1),(((10,7#H14),(3,2))#H18,7#H14))))#H22)))))) ********** End of Solution 16 ********** The leaf sets of the trees in an MAAF are: ( dummy 1 5 12 ) ( 14 ) ( 8 ) ( 11 ) ( 13 ) ( 4 ) ( 6 ) ( 7 ) ( 2 3 10 ) ( 9 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(11#H3,(13#H4,(4#H5,(14#H1,(8#H2,(11#H3,(14#H1,(8#H2,(11#H3,((4#H5,13#H4),((14#H1,(8#H2,(11#H3,(13#H4,(((((4#H5,13#H4),(6#H9,(9#H7,(((#H18,9#H7),12),9#H7)))),9#H7),((6#H9,(9#H7,((((13#H4,(((14#H1,8#H2),11#H3),4#H5)),6#H9),(5,(#H18,7#H14))),(6#H9,((6#H9,1),(((10,7#H14),(3,2))#H18,7#H14)))))),(#H18,7#H14))),(4#H5,7#H14)))))),#H18))))))))))))) ********** End of Solution 17 ********** The leaf sets of the trees in an MAAF are: ( dummy 1 5 9 ) ( 14 ) ( 8 ) ( 11 ) ( 13 ) ( 4 ) ( 6 ) ( 7 ) ( 2 3 10 ) ( 12 ) The extended Newick representation of a network (constructed from the MAAF) with the minimum number of reticulation vertices is: (14#H1,(8#H2,(11#H3,(13#H4,(4#H5,(14#H1,(8#H2,(11#H3,(14#H1,(8#H2,(11#H3,((4#H5,13#H4),((12#H6,(14#H1,(8#H2,(11#H3,(13#H4,(((12#H6,((4#H5,13#H4),(6#H9,((12#H6,((#H18,9),12#H6)),12#H6)))),((6#H9,((((13#H4,(((14#H1,8#H2),11#H3),4#H5)),6#H9),(5,(#H18,7#H14))),(6#H9,((6#H9,1),(((10,7#H14),(3,2))#H18,7#H14))))),(#H18,7#H14))),(4#H5,7#H14))))))),#H18))))))))))))) ********** End of Solution 18 ********** Elapsed time: 3