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Approximating Fault-Tolerant Domination in General Graphs

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Approximating Fault-Tolerant Domination in General Graphs. ETH Zurich Distributed Computing www.disco.ethz.ch. Klaus-Tycho. F rster – PowerPoint PPT presentation

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Title: Approximating Fault-Tolerant Domination in General Graphs


1
Approximating Fault-Tolerant Domination in
General Graphs
2
Minimum Dominating Set
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3
 
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4
 
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5
Overview of the remaining Talk
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6
 
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7
 
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8
 
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(tight)
9
 
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10
 
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11

When does the Greedy Algorithm finish?
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12

When to stop when chopping off
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13

Calculating the approximation ratio
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14
Extending the Domination Range
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15
Extending the Domination Range
  • The black nodes form a 2-step dominating set
  • But not a 2-step 2-dominating set !

16
Extending the Domination Range
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17
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