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A {<jats:italic>K<\/jats:italic><jats:sub>1,2<\/jats:sub>,<jats:italic>K<\/jats:italic><jats:sub>1,3<\/jats:sub>,<jats:italic>K<\/jats:italic><jats:sub>5<\/jats:sub>}-factor of<jats:italic>G<\/jats:italic>is a spanning subgraph of<jats:italic>G<\/jats:italic>, in which every component is isomorphic to a member of {<jats:italic>K<\/jats:italic><jats:sub>1,2<\/jats:sub>,<jats:italic>K<\/jats:italic><jats:sub>1,3<\/jats:sub>,<jats:italic>K<\/jats:italic><jats:sub>5<\/jats:sub>}. 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