1. Given the following graph – The vertices are the small circles and the edges are the lines connecting them. A set of vertices is said to be independent if no two vertices in the set are connected by an edge. The independence number of a graph is the number of elements of the largest independent set. Independence numbers have applications in chemistry – if you think of the atoms of a molecule as the vertices and the bonds as edges, independence number is connected to the chemical stability of the molecule. Find the independence number of this graph. (Find the largest independent set you can and circle those vertices)

Biology 2e
2nd Edition
ISBN:9781947172517
Author:Matthew Douglas, Jung Choi, Mary Ann Clark
Publisher:Matthew Douglas, Jung Choi, Mary Ann Clark
Chapter2: The Chemical Foundation Of Life
Section: Chapter Questions
Problem 3VCQ: Figure 2.24 Which of the following statements is false? Molecules with the formulas CH3CH2COOH and...
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1. Given the following graph – The vertices are the small circles and the edges are the lines
connecting them.
A set of vertices is said to be independent if no two vertices in the set are connected by an edge.
The independence number of a graph is the number of elements of the largest independent set.
Independence numbers have applications in chemistry – if you think of the atoms of a molecule
as the vertices and the bonds as edges, independence number is connected to the chemical
stability of the molecule. Find the independence number of this graph. (Find the largest
independent set you can and circle those vertices)
Transcribed Image Text:1. Given the following graph – The vertices are the small circles and the edges are the lines connecting them. A set of vertices is said to be independent if no two vertices in the set are connected by an edge. The independence number of a graph is the number of elements of the largest independent set. Independence numbers have applications in chemistry – if you think of the atoms of a molecule as the vertices and the bonds as edges, independence number is connected to the chemical stability of the molecule. Find the independence number of this graph. (Find the largest independent set you can and circle those vertices)
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