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说明for introduction to matchings介绍匹配.pptx

发布：2024-08-02约小于1千字共7页下载文档

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IntroductiontoMatchings

BipartiteGraphsAbipartitegraphisagraphwherethenodesareintwodistinctsetsEveryedgeconnectsamemberofthefirstsettoamemberofthesecondsetABipartitegraphNotaBipartitegraph

CompleteBipartiteGraphsABipartitegraphiscompleteifeverynodeinonesetisconnectedtoeverynodeoftheothersetItisdescribedas wheremisthenumberofverticesinoneset,andnthenumberintheother

MatchingsAmatchingisasubsetoftheedgesofabipartitegraphsuchthatnonodehasmorethanoneedgeinthematchingThisisaMATCHINGThisisnotaMatching

MaximalMatchingsAmatchingismaximalifitisnotpossibletoaddmoreedgesNotmaximalMaximal

CompleteMatchingsAmatchingiscompleteif:thetwosetshavethesamenumberofverticesthematchingincludeseveryvertexThisisacompletematchingNotethatthematchingcanbecompleteevenifthebipartitegraphisnot

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