Consider the following statements about Bipartite graphs.(a) The maximum number of edges in a bipartite graph with 10 vertices is(b) The maximum number of edges in a bipartite graph with 24 vertices is 143.(c) The minimum number of edges in a complete bipartite graph with 10 vertices is 9.(d) Every bipartite graph is 2-colorable.The number of correct statements is _______________?a)1b)2c)3d)all of aboveCorrect answer is option 'B'. Can you explain this answer?

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Consider the following statements about Bipartite graphs.

(a) The maximum number of edges in a bipartite graph with 10 vertices is

(b) The maximum number of edges in a bipartite graph with 24 vertices is 143.

(d) Every bipartite graph is 2-colorable.

The number of correct statements is _______________?

a)
1
b)
2
c)
3
d)
all of above

Correct answer is option 'B'. Can you explain this answer?

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Consider the following statements about Bipartite graphs.(a) The maxim...

In a bipartite graph, the maximum edges will be present when both the partitions have equal number of vertices.

That’s means with 10 vertices the maximum no. of edges we can have is 25(5*5).

With 24 vertices the maximum no. of edges we can have is 144. That is 12 * 12.

Both the first and 2nd statements are wrong.

Statement 3 is true, because we have minimum edges in a complete graph when one partition has only 1 vertex and the other partition has 9 vertices. So the number of edges is 9.

Statement 4 is true, Because color the one partition with one color and other partition with other color. As there is no edge between the elements of a single partition, there will be no problem.

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