some results on disk graphs 陳哲烱 中國科技大學 ( 台灣 ) joint work with...
TRANSCRIPT
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
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.
Intersection Disk
(ID)
A B
A B
Unit Disk
(UD)
Containment Disk
(CD)
A B A B
Basic Definition
Basic Definition
Basic Definition
Examples and Forbidden Subgraphs of CD Graphs
Examples of UD Graphs
Forbidden Subgraphs of UD Graphs
Forbidden Subgraphs of UD Graphs
Forbidden Subgraphs of UD Graphs
Conditions for cases to be UD and CD graphs
Some Forbidden Subgraphs of UD Graphs
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