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Some Results on Disk Graphs

Some Results on Disk Graphs. 陳哲烱 中國科技大學 ( 台灣 ) Joint work with 李國偉、林瑩貞. OUTLINE. Basic Definition Examples and Forbidden Subgraphs of CD Graphs Examples of UD Graphs Forbidden Subgraphs of UD Graphs. Basic Definition.

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Some Results on Disk Graphs

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  1. Some Results on Disk Graphs 陳哲烱 中國科技大學(台灣) Joint work with 李國偉、林瑩貞

  2. OUTLINE • Basic Definition • Examples and Forbidden Subgraphs of CD Graphs • Examples of UD Graphs • Forbidden Subgraphs of UD Graphs

  3. Basic Definition Disk graphs are motivated to model radio broadcast networks and cellular telephone networks. We usually model these networks by an interfere graph with vertices representing transmitters. And two vertices are adjacent if the signals of transmitters interfere.

  4. A B Intersection Disk (ID)

  5. B A Unit Disk (UD)

  6. B A A B Containment Disk (CD)

  7. Basic Definition

  8. Basic Definition

  9. Basic Definition

  10. Examples and Forbidden Subgraphs of CD Graphs

  11. Examples of UD Graphs

  12. Forbidden Subgraphs of UD Graphs

  13. Forbidden Subgraphs of UD Graphs

  14. Forbidden Subgraphs of UD Graphs

  15. Conditions for cases to be UD and CD graphs

  16. Some Forbidden Subgraphs of UD Graphs

  17. 報告完畢 謝謝您的聆聽

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