Txhua tsob ntoo yog bipartite. Cycle graphs nrog ib tus lej ntawm vertices yog bipartite. Txhua daim duab uas nws lub ntsej muag muaj qhov ntev ntev yog bipartite.
Puas yog cov duab bipartite ntoo?
Txhua tsob ntoo yog bipartite. Cycle graphs nrog ib tus lej ntawm vertices yog bipartite. Txhua daim duab uas nws lub ntsej muag muaj qhov ntev ntev yog bipartite.
Vim li cas Txhua tsob ntoo yog daim duab bipartite?
Tsob Ntoo: Ib tsob ntoo yog daim duab yooj yim nrog N - 1 npoo qhov twg N yog tus naj npawb ntawm vertices xws li tias muaj ib txoj hauv kev ntawm ob qhov vertices. Bipartite: Ib daim duab yog bipartite yog tias peb tuaj yeem faib cov vertices rau hauv ob qhov tsis sib xws V1, V2 xws li tsis muaj ntug txuas vertices los ntawm tib txheej
Koj ua pov thawj li cas tias txhua tsob ntoo yog daim duab bipartite?
Cia be the set of vertices marked with '' and be the set of vertices marked with ''. Kom meej meej txhua ob qhov sib txawv ntawm qhov tsis nyob ib sab ntawm ntug, thiab ib yam li ntawd rau, vim cov ntoo tsis muaj circuits; Ntxiv mus, kom meej meej muab faib cov vertex teeb ntawm daim duab mus rau hauv ob disjoint subsets. Yog li ntawd, txhua tsob ntoo yog bipartite.
Puas yog txhua daim duab ua tiav bipartite?
Txhua daim duab bipartite tiav. K yog Moore graph thiab a (n, 4)-cage. Daim duab tiav bipartite K thiab K +1 muaj qhov siab tshaj plaws ntawm cov npoo ntawm txhua daim duab peb sab-dawb nrog tib tus lej ntawm vertices; Qhov no yog Mantel's theorem.
