What's New in Maple 14: GraphTheory<Text-field style="Heading 1" layout="Heading 1">Description of Feature</Text-field>Time and memory efficiency of three GraphTheory exports has been improved in Maple 14 because a new algorithm is employed. The three commands are:BipartiteMatching, which finds a maximum matching in a bipartite graph,ConnectedComponents, which finds the connected components of a graph, andMaxFlow, which finds a flow of maximal capacity in a directed weighted graph.<Text-field style="Heading 1" layout="Heading 1">Examples</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JFEld2l0aEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYjLUYsNiRRLEdyYXBoVGhlb3J5RidGLy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLUkjbW9HRiQ2LlEiOkYnRjpGPS8lJmZlbmNlR0Y8LyUqc2VwYXJhdG9yR0Y8LyUpc3RyZXRjaHlHRjwvJSpzeW1tZXRyaWNHRjwvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGPC8lJ2FjY2VudEdGPC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlNGKy1GMzYlLUYjNiMtRiw2JFEuU3BlY2lhbEdyYXBoc0YnRi9GOkY9Rj8=Bipartite Matching:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JFEjYnRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSJ+RicvJSdpdGFsaWNHUSZmYWxzZUYnL0YwUSdub3JtYWxGJy8lJmZlbmNlR0Y4LyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkstRjM2LlEqJmNvbG9uZXE7RidGNkY5RjtGPUY/RkFGQ0ZFRkcvRkpRLDAuMjc3Nzc3OGVtRicvRk1GUkYyLUYsNiRRM0NvbXBsZXRlQmluYXJ5VHJlZUYnRi8tSShtZmVuY2VkR0YkNiUtRiM2Iy1JI21uR0YkNiVRIjRGJ0Y2RjlGNkY5LUYzNi5RIjpGJ0Y2RjlGO0Y9Rj9GQUZDRkVGR0ZRRlM=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JFEjYm1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSomY29sb25lcTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1GLDYkUTJCaXBhcnRpdGVNYXRjaGluZ0YnRi8tSShtZmVuY2VkR0YkNiUtRiM2Iy1GLDYkUSNidEYnRi9GNkY5LUYsNiNRIUYnLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JFEvSGlnaGxpZ2h0RWRnZXNGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiUtRiM2KC1GLDYkUSNidEYnRi8tSSNtb0dGJDYuUSIsRicvJSdpdGFsaWNHUSZmYWxzZUYnL0YwUSdub3JtYWxGJy8lJmZlbmNlR0ZALyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUklbXN1YkdGJDYlLUYsNiRRI2JtRidGLy1GIzYkLUkjbW5HRiQ2JVEiMkYnRj5GQUYvLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGPi8lK2V4ZWN1dGFibGVHRkBGQUY+RkEtRjs2LlEiOkYnRj5GQUZDL0ZGRkBGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRmhvLUY7Ni5RIn5GJ0Y+RkFGQ0Zmb0ZIRkpGTEZORlBGUi9GVkZULUYsNiRRKkRyYXdHcmFwaEYnRi8tRjM2JS1GIzYmRjdGPkZhb0ZBRj5GQUZqb0Y+RmFvRkE=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JFEqRHJhd0dyYXBoRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiotRiw2JFEjYnRGJ0YvLUkjbW9HRiQ2LlEiLEYnLyUnaXRhbGljR1EmZmFsc2VGJy9GMFEnbm9ybWFsRicvJSZmZW5jZUdGQC8lKnNlcGFyYXRvckdRJXRydWVGJy8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GLDYkUSZzdHlsZUYnRi8tRjs2LlEiPUYnRj5GQUZDL0ZGRkBGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRmpuLUYsNiRRKmJpcGFydGl0ZUYnRi9GPi8lK2V4ZWN1dGFibGVHRkBGQUY+RkFGPkZfb0ZBLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JFEjYnRGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYuUSJ+RicvJSdpdGFsaWNHUSZmYWxzZUYnL0YwUSdub3JtYWxGJy8lJmZlbmNlR0Y4LyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkstRjM2LlEqJmNvbG9uZXE7RidGNkY5RjtGPUY/RkFGQ0ZFRkcvRkpRLDAuMjc3Nzc3OGVtRicvRk1GUkYyLUYsNiRRM0NvbXBsZXRlQmluYXJ5VHJlZUYnRi8tSShtZmVuY2VkR0YkNiUtRiM2Ji1JI21uR0YkNiVRIjhGJ0Y2RjlGNi8lK2V4ZWN1dGFibGVHRjhGOUY2RjlGNkZqbkY5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JFEldGltZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYnLUYsNiRRMkJpcGFydGl0ZU1hdGNoaW5nRidGLy1GMzYlLUYjNiYtRiw2JFEjYnRGJ0YvLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRkMvRjBRJ25vcm1hbEYnRkFGRkZBRkRGRkZBRkZGQUZERkY=The same computation in Maple 13 took more than 200 times longer.Connected components: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 same computation in Maple 13 took about 80 times longer.MaxFlow: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Compute the maximal flow from vertex 1 to vertex 20: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 same computation in Maple 13 took about 100 times longer.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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 que h\303\241 de novo no Maple 14: Teoria dos Gr\303\241ficos<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Descri\303\247\303\243o do recurso</Font></Text-field>Efici\303\252ncia de tempo e mem\303\263ria de tr\303\252s GraphTheory as exporta\303\247\303\265es melhoraram no Maple 14, porque um novo algoritmo \303\251 empregado. os tr\303\252s comandos s\303\243o:BipartiteMatching, que encontra uma correspond\303\252ncia m\303\241xima em um gr\303\241fico bipartido,ConnectedComponents, que encontra os componentes conectados de um gr\303\241fico, eMaxFlow, que encontra um fluxo de capacidade m\303\241xima em um gr\303\241fico ponderado direcionado.<Text-field style="Heading 1" layout="Heading 1">Exemplos</Text-field>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Combina\303\247\303\243o Bipartida: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O mesmo c\303\241lculo no Maple 13 demorou mais de 200 vezes mais.Componentes conectados:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JFEiR0YnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1GMzYuUSomY29sb25lcTtGJ0Y2RjlGO0Y9Rj9GQUZDRkVGRy9GSlEsMC4yNzc3Nzc4ZW1GJy9GTUZSRjItRiw2JFEqQWRkVmVydGV4RidGLy1JKG1mZW5jZWRHRiQ2JS1GIzYpLUYsNiRRLkNvbXBsZXRlR3JhcGhGJ0YvLUZYNiUtRiM2Ji1JI21uR0YkNiVRIjVGJ0Y2RjlGNi8lK2V4ZWN1dGFibGVHRjhGOUY2RjktRjM2LlEiLEYnRjZGOUY7L0Y+USV0cnVlRidGP0ZBRkNGRUZHRkkvRk1RLDAuMzMzMzMzM2VtRictRl5vNiVRIjBGJ0Y2RjlGNkZhb0Y5RjZGOS1GMzYuUSI6RidGNkY5RjtGPUY/RkFGQ0ZFRkdGUUZTRjZGYW9GOQ==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JFEqRHJhd0dyYXBoRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiYtRiw2JFEiR0YnRi8vJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGPC9GMFEnbm9ybWFsRidGOkY/RjpGPUY/LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JFE0Q29ubmVjdGVkQ29tcG9uZW50c0YnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYmLUYsNiRRIkdGJ0YvLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjwvRjBRJ25vcm1hbEYnRjpGP0Y6Rj1GPw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JFEiR0YnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJy8lJ2l0YWxpY0dRJmZhbHNlRicvRjBRJ25vcm1hbEYnLyUmZmVuY2VHRjgvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1GMzYuUSomY29sb25lcTtGJ0Y2RjlGO0Y9Rj9GQUZDRkVGRy9GSlEsMC4yNzc3Nzc4ZW1GJy9GTUZSLUYsNiRRKkFkZFZlcnRleEYnRi8tSShtZmVuY2VkR0YkNiUtRiM2KS1GLDYkUS5Db21wbGV0ZUdyYXBoRidGLy1GWDYlLUYjNiYtSSNtbkdGJDYlUSUxNTAwRidGNkY5RjYvJStleGVjdXRhYmxlR0Y4RjlGNkY5LUYzNi5RIixGJ0Y2RjlGOy9GPlEldHJ1ZUYnRj9GQUZDRkVGR0ZJL0ZNUSwwLjMzMzMzMzNlbUYnLUZebzYlUSIwRidGNkY5RjZGYW9GOUY2RjlGNkZhb0Y5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JFEldGltZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYnLUYsNiRRNENvbm5lY3RlZENvbXBvbmVudHNGJ0YvLUYzNiUtRiM2Ji1GLDYkUSJHRidGLy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0ZDL0YwUSdub3JtYWxGJ0ZBRkZGQUZERkZGQUZGRkFGREZGO mesmo c\303\241lculo no Maple 13 demorou cerca de 80 vezes mais.
Fluxo M\303\241ximo: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Calcule o fluxo m\303\241ximo do v\303\251rtice 1 ao v\303\251rtice 20: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 mesmo c\303\241lculo no Maple 13 demorou cerca de 100 vezes mais tempo.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JSFHJSFH