Chapter 3 Restriction(3)Power of Spanning Tree

Ding-Zhu Du

Steiner Tree with Minimum Numberof Steiner Points

Steinerized Spanning Trees

Minimum Steinerized Spanning Tree

A Property of MST

AnalysisConsider an optimal solution and modify it to meet the restriction.Estimate the cost of modification.

Theorem

LemmaProof

degree < 4

Theorem

Bottleneck Steiner Tree

Steinerized Spanning Tree with kSteiner Points

Optimal Solution of Restricted Problem

AnalysisConsider an optimal solution and modify it to meet the restriction.Estimate the cost of modification.

Theorem

Wireless Networkr

Broadcasting Tree

Min-Energy Broadcasting

Broadcasting Tree

AnalysisConsider an optimal solution and modify it to feasible solution with the new objective function.Estimate the cost of modification.

Consider an Optimal Broadcasting Tree

Lemma

Theorem

Proof of Lemma

Actually