Theorem1.1.LetG=(V;E)beagraphonmedgesandnnodes.ThereisanO(mn)timealgor - PDF document

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Uploaded On 2015-08-19

Theorem1.1.LetG=(V;E)beagraphonmedgesandnnodes.ThereisanO(mn)timealgor - PPT Presentation

Algorithm1TriangleGVE foreachv2Vdo foreachst2Nvdo ifst2Ethen returnvst returnNotriangle ProofConsiderAlgorithm1IfGcontainsatriangleabctheninsomeiterationofthealgorithmvaa ID: 110541

Algorithm1:Triangle(G=(V;E)) foreachv2Vdo foreachs;t2N(v)do if(s;t)2Ethen return(v;s;t); return\Notriangle"; Proof.ConsiderAlgorithm1.IfGcontainsatriangle(a;b;c) theninsomeiterationofthealgorithm v=aa

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