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Chapter 3 Restriction (3)Power of Spanning Tree

Chapter 3 Restriction (3)Power of Spanning Tree. Ding-Zhu Du. Steiner Tree with Minimum Number of Steiner Points. Steinerized Spanning Trees. Minimum Steinerized Spanning Tree. A Property of MST. Analysis. Consider an optimal solution and modify it to meet the restriction.

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Chapter 3 Restriction (3)Power of Spanning Tree

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  1. Chapter 3 Restriction(3)Power of Spanning Tree Ding-Zhu Du

  2. Steiner Tree with Minimum Number of Steiner Points

  3. Steinerized Spanning Trees

  4. Minimum Steinerized Spanning Tree

  5. A Property of MST

  6. Analysis • Consider an optimal solution and modify it to meet the restriction. • Estimate the cost of modification.

  7. Theorem

  8. Lemma Proof

  9. degree < 4

  10. Theorem

  11. Bottleneck Steiner Tree

  12. Steinerized Spanning Tree with k Steiner Points

  13. Optimal Solution of Restricted Problem

  14. Analysis • Consider an optimal solution and modify it to meet the restriction. • Estimate the cost of modification.

  15. Theorem

  16. Wireless Network r

  17. Broadcasting Tree

  18. Min-Energy Broadcasting

  19. Broadcasting Tree

  20. Analysis • Consider an optimal solution and modify it to feasible solution with the new objective function. • Estimate the cost of modification.

  21. Consider an Optimal Broadcasting Tree

  22. Lemma

  23. Theorem

  24. Proof of Lemma

  25. Actually

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