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Simple graphs g - PowerPoint PPT Presentation

k-Factor

k-Factor. Factor: a spanning subgraph of graph G k-Factor: a spanning k-regular subgraph. 1-Factor of K 6. k-Factor. 2-Factor of K 7. Odd Component. Odd component: a component of odd order o(H): the number of odd components of H. Odd component. o(H)=4. Even component.

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Factor

Factor. Factor: a spanning subgraph of graph G k-Factor: a spanning k-regular subgraph Odd component: a component of odd order o(H): the number of odd components of H. 1-Factor of K 6. 2-Factor of K 7. Theorem 3.3.3. A graph G has 1-factor if and only if o(G-S)<=|S| for every S ?V(G).

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Simple graphs g - PowerPoint PPT Presentation

k-Factor

Factor