Video: Puas yog daim duab nrog ib qho vertex bipartite?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A daim duab bipartite yog ib nws ntsug , V, tuaj yeem muab faib ua ob pawg ywj pheej, V1 thiab V2, thiab txhua tus ntug ntawm lub daim duab txuas ib vertex hauv V1 rau ib vertex hauv V2 (Skiena 1990). Yog txhua vertex ntawm V1 yog txuas nrog txhua vertex ntawm V2 tus daim duab hu ua tiav daim duab bipartite.
Ib sab ntawm no, puas yog bipartite ib daim duab?
A graph yog bipartite yog thiab tsuas yog tias nws tsis muaj lub voj voog khib. A graph yog bipartite yog tias thiab tsuas yog nws yog 2-xim, (piv txwv li nws tus lej chromatic tsawg dua lossis sib npaug rau 2). Lub spectrum ntawm a daim duab yog symmetric yog thiab tsuas yog tias nws yog ib daim duab bipartite.
Tom qab ntawd, lo lus nug yog, puas tuaj yeem txiav daim duab bipartite? 1 Teb. Yog hais tias lub sab saum toj-sab laug vertex nyob ib sab rau tag nrho peb ntawm sab xis-sab vertices, koj yuav muaj K3, 3, a daim duab bipartite . Kho kom raug: Hais txog koj cov lus nug ntawm qhov siab tshaj plaws ntawm cov npoo a daim duab bipartite ua n verces ua tau muaj yam tsis muaj kev sib txuas. Yog li peb muaj ib lub vertex txiav tawm.
Hais txog qhov no, pes tsawg daim duab bipartite muaj nyob rau n vertices?
Cov npe ntawm kev sib txuas cov duab bipartite nrog = 14 ntsug yog 74MB compressed thiab yuav tsum tau ob peb feeb los tsim.
Dab tsi yog bipartite graphs siv rau?
Bipartite graphs muaj ntau daim ntawv thov. Lawv feem ntau siv rau sawv cev binary kev sib raug zoo ntawm ob hom khoom. Ib qho kev sib raug zoo binary ntawm ob pawg A thiab B yog ib feem ntawm A × B.
Pom zoo:
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Nws txhais li cas rau daim duab ua bipartite?
Nyob rau hauv kev ua lej ntawm daim duab txoj kev xav, ib daim duab bipartite (lossis bigraph) yog ib daim duab uas nws cov vertices tuaj yeem muab faib ua ob pawg disjoint thiab ywj siab thiab xws li tias txhua ntug txuas ib lub vertex rau ib qho hauv. Vertex teev thiab. feem ntau hu ua qhov chaw ntawm daim duab
Puas yog daim duab bipartite txuas?
1 Teb. Kev sib txuas bipartite graph yog ib daim duab ua tiav ob qho tib si, cov xwm txheej hauv qab no: Vertices tuaj yeem muab faib ua ob qhov sib txawv ntawm U thiab V (uas yog, U thiab V yog txhua qhov kev ywj pheej) xws li tias txhua ntug hauv daim duab txuas ib qho vertex hauv U rau ib qho hauv V