G muaj pes tsawg daim ntawv hauv daim duab tiav Kn? Piv txwv li, yog tias peb muaj C4, muaj 3 subgraphsntawm C4 hauv K4, raws li pom hauv qab no.
Puas muaj pes tsawg daim subgraphs muaj 4 lub voj voog?
Subgraphs nrog plaub ntug.
tag nrho cov subgraphs ntawm txhua hom yuav yog 16+16+10+4+1=47.
K5 muaj pes tsawg daim ntawv?
Muaj 34 daim duab ntawm kev txiav txim 5, 33 uas yog cov ntawv tseeb ntawm K5; kab 34 yog K5. Daim ntawv ua haujlwm no tau sib txawv raws li tau piav qhia hauv cov ntaub ntawv hauv qab no. Thaum cov tub ntxhais kawm tau txais daim ntawv ua haujlwm tsim nyog, lawv yuav pib kos tag nrho cov kab ntawv uas lawv tuaj yeem nrhiav tau.
K4 muaj pes tsawg ntug?
Kuj, ib qho K4-saturated graph muaj nyob ntawm tsawg 2n−3 npoo thiab feem ntau ⌊n2/3⌋ npoo thiab cov ciam teb no ntse.
Puas muaj pes tsawg daim duab hauv ib daim duab?
Txhua daim duab G nrog ntug muaj tsawg kawg yog ob qhov tshwj xeeb subgraphs : G nws tus kheej thiab graphtau los ntawm kev tshem tawm tag nrho cov npoo ntawm G. Qhov ua tiav graphs ntawm ntau tshaj ib qho vertex tsuas muaj ob qhov tshwj xeeb subgraphs.
