Finding the line covering number of a graph

Problem Statement

What is the line covering number for the following graph?

Solution

Number of vertices = |V| = n = 7

Line covering number = (α₁) ≥ ⌈ n / 2 ⌉ = 3

α₁ ≥ 3

By using 3 edges, we can cover all the vertices.

Hence, the line covering number is 3.

Mahesh Parahar

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Updated on: 23-Aug-2019

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