Video: Nws txhais li cas rau daim duab ua bipartite?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Hauv kev ua lej ntawm daim duab txoj kev xav, a daim duab bipartite (los yog bigraph) yog a daim duab nws vertices yuav muab faib ua ob disjoint thiab ywj siab teev thiab xws li hais tias txhua ntug txuas ib tug vertex rau ib tug nyob rau hauv. Vertex teeb thiab. feem ntau hu ua qhov chaw ntawm lub daim duab.
Tom qab ntawd, ua li cas koj thiaj paub tias daim duab yog bipartite?
Yog li yog koj tuaj yeem 2-xim koj daim duab , nws yuav bipartite . Kom meej meej, yog koj muaj daim duab peb sab, koj xav tau 3 xim xim rau nws. Thaum twg koj muaj 2 xim, ob chav xim (liab vertices, xiav vertices), muab rau koj bipartization. A graph yog bipartite yog tias thiab xwb yog tsis muaj ib lub voj voog khib hauv lub daim duab.
Tom qab ntawd, lo lus nug yog, nws txhais li cas los ua bipartite? A bipartite graph yog ib daim duab nyob rau hauv uas ib txheej ntawm graph vertices tau muab faib ua ob pawg ywj siab, thiab tsis muaj ob daim duab vertices nyob rau hauv tib lub teeb nyob ib sab. Hauv lwm lo lus, bipartite graphs tuaj yeem suav tias yog sib npaug ntawm ob daim duab xim.
Tsis tas li ntawd, lub ntsiab lus ntawm bipartite graph yog dab tsi?
A daim duab bipartite , tseem hu ua bigraph, yog ib txheej ntawm daim duab vertices decomposed rau hauv ob disjoint teeb xws li tsis muaj ob daim duab vertices nyob rau hauv tib lub teeb yog nyob ib sab. A daim duab bipartite yog ib rooj plaub tshwj xeeb ntawm k-partite daim duab nrog.
Ib daim duab tiav puas tuaj yeem yog bipartite?
A ua tiav bipartite graph yog a daim duab nws verces ua tau muab faib ua ob pawg V1 thiab V2 xws li tias tsis muaj ntug muaj ob qho kawg hauv tib lub subset, thiab txhua qhov ua tau ntug uas ua tau txuas vertices nyob rau hauv sib txawv subsets yog ib feem ntawm cov daim duab.
Pom zoo:
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Dab tsi yog qhov txawv ntawm lub xeev daim duab kos duab thiab daim duab ua haujlwm?
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