MoedB-Part2-Sol

MoedB-Part2-Sol - cala dheih ,2008-2009 sxeg ,2 wlg 'a cren...

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Unformatted text preview: cala dheih ,2008-2009 sxeg ,2 wlg 'a cren oexzt - zeiaeyigd zxez 'a wlg 1 dl`y .` MCNF weqt lk okle zewtzqn ϕ ly zeiweqtd lk f` MCNF `edy ϕ weqt ly mipzynd lkl True miaivn m` weqt ly iweg ceciw `ed hlwdy wecal `ed zeyrl yiy lk okl .( True dreawd divwpetk xcben wix weqt) witq `ed . L 1 ∈ P okl .lawl ok m`e (inepilet onfa revial ozip) MCNF .a . L 2 ∈ NPH y lawp V C ∈ NPC y reciy oeeikne V C ≤ L 2 xnelk , V ertexCover-n divwecx , e i = ( u,w ) ∈ E zyw lkl c i = ( x u ∨ x w ) ziweqt dpaz divwecxd , | E | = m xy`k ( G = ( V,E ) , k ) hlw ozpida .hltk m V i =1 c i , k z` xifgze .zezywd zveaw lr cigi xarn ici-lr m V i =1 c i weqtd z` zepal ozip :zeinepilet :miiwzne ,aeiga miriten ziweqt lka mipzynd ik MCNF `ed hltdy al miyp :zetwz ( G,k ) ∈ V C ⇐⇒ ∃ B ⊆ V, | B | = k, ∀ ( u,w ) ∈ E : u ∈ B ∨ w ∈ B ⇐⇒ ∃ A ⊆ { , 1 } | V | , # 1 ( A ) = k, m ^ i =1 c i ( A ) = True ⇐⇒ m ^ i =1 c i ,k ! ∈ L 2 dqekn e i dni`znd zywde ,wtzqn ziweqtay mipzynd ipyn cg` zegtl mm` zwtzqn c i ziweqt lky oeeik z`f .ieqika `vnp zywd ly miznvd ipyn cg` zegtl mm` dnydd mm` lawze ,mipzyn...
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MoedB-Part2-Sol - cala dheih ,2008-2009 sxeg ,2 wlg 'a cren...

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