Given the graph as shown below calculate the Cosine similarity between vertices 3 and 6 Write your answer in decimal format with 2 decimal places For example 210 or 352httpscorexjtlueducnpluginfilephp

To calculate the cosine similarity between vertices 3 and 6, we need to first find their respective vectors.

Vertex 3 is connected to vertices 1, 2, and 4, so its vector is (1, 1, 1, 0, 0, 0).

Vertex 6 is connected to vertices 4 and 5, so its vector is (0, 0, 0, 1, 1, 0).

Using the formula for cosine similarity, we get:

cosine_similarity = (v3 . v6) / (||v3|| * ||v6||)

where "." represents the dot product and "|| ||" represents the magnitude of the vector.

Substituting the values, we get:

cosine_similarity = (10 + 10 + 10 + 01 + 01 + 00) / (sqrt(3) * sqrt(2))

cosine_similarity = 0 / 2.45

cosine_similarity = 0

Therefore, the cosine similarity between vertices 3 and 6 is 0.00