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Approximating Minimum Cost Steiner Forests Lecturer: Moran Feldman Instructor: Prof. Zeev Nutov

Approximating Minimum Cost Steiner Forests Lecturer: Moran Feldman Instructor: Prof. Zeev Nutov

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3 (Undirected) Steiner Tree (ST) Instance: A graph G = (V,E), a cost function c: E   +, and a set D  V. Objective: Find a subgraph H  G of minimum cost connecting all nodes of D. Terminology: The nodes of D are called terminals, the other nodes are called Steiner nodes. Application Example Connecting all components in an printed circuit using minimum cost silver

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Page 1: Approximating Minimum Cost Steiner Forests Lecturer: Moran Feldman Instructor: Prof. Zeev Nutov

Approximating Minimum Cost Steiner Forests

Lecturer: Moran FeldmanInstructor: Prof. Zeev Nutov

Page 2: Approximating Minimum Cost Steiner Forests Lecturer: Moran Feldman Instructor: Prof. Zeev Nutov

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Talk Outline

• Presenting the problems• Previous results• Greedy algorithm for Covering Problems• Previous algorithm for DSF• Our algorithms for k-DSF and DSF• Summary