Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 35.1, Problem 1E
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To provide an illustration of the graph such that APPROXVERTEXCOVER always capitulate the sub-optimal solution.

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Show that a simple connected planar graph with 8 vertices and 13 edges cannot be bichromatic.
A (k, l)-dumbbell graph is obtained by taking a complete graph on k (labeled) nodes and a complete graph on l (labeled) nodes, and connecting them by a single edge. Find the number of spanning trees of a dumbbell graph.  
End of Solution In an undirected connected planar graph G, there are eight vertices and five faces. The number of edges in G is
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