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An independent set in a graph G is a set S of vertices of G (so S is a subset of the vertex s V(G) of G) such that no two vertices from S are adjacent. A caterpillar is a tree T such th the graph obtained from T by removing all leaves is a path. Problem: Instance: a caterpillar T Problem: find the number of independent sets in T Design a recursive algorithm based on Divide and Conquer strategy for solving this probler Prove its correctness. Estimate the time complexity of the algorithm.

An independent set in a graph G is a set S of vertices of G (so S is a subset of the vertex s V(G) of G) such that no two vertices from S are adjacent. A caterpillar is a tree T such th the graph obtained from T by removing all leaves is a path. Problem: Instance: a caterpillar T Problem: find the number of independent sets in T Design a recursive algorithm based on Divide and Conquer strategy for solving this probler Prove its correctness. Estimate the time complexity of the algorithm.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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An independent set in a graph G is a set S of vertices of G (so S is a subset of the vertex set V(G) of G) such that no two vertices from S are adjacent. A caterpillar is a tree T such that the graph obtained from T by removing all leaves is a path. Problem: Instance: a caterpillar T Problem: find the number of independent sets in T Design a recursive algorithm based on Divide and Conquer strategy for solving this problem. Prove its correctness. Estimate the time complexity of the algorithm.
Transcribed Image Text:An independent set in a graph G is a set S of vertices of G (so S is a subset of the vertex set V(G) of G) such that no two vertices from S are adjacent. A caterpillar is a tree T such that the graph obtained from T by removing all leaves is a path. Problem: Instance: a caterpillar T Problem: find the number of independent sets in T Design a recursive algorithm based on Divide and Conquer strategy for solving this problem. Prove its correctness. Estimate the time complexity of the algorithm.
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