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CBSE Class 9 Answered

A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus a triangle with 3 edge and 3 points. The degree of a point is the number of the edges connected to it. For example, a triangle is a graph with 3 points of degree 2 each. Consider a graph with 12 points. It is possible to reach from any other point through a sequence of edges. The number of edges, e, in the graph must satisfy the condition:- a) 11 ≤ e ≤ 66 b) 11 ≤ e ≤ 65 c) 10 ≤ e ≤ 66 d) 0 ≤ e ≤ 11
Asked by acv27joy | 08 Oct, 2018, 22:55: PM
answered-by-expert Expert Answer
Let us consider, there are two points then only one line can pass throught these two points.
If we consider three points then minimum number of edges is 2 and maximum number of edges is three.
Thus, minimum number of edges with 12 points can be 11 and maximum can be 16.
Hence, 11 ≤ e ≤ 66
Answered by Sneha shidid | 15 Oct, 2018, 10:22: AM

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A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus a triangle with 3 edge and 3 points. The degree of a point is the number of the edges connected to it. For example, a triangle is a graph with 3 points of degree 2 each. Consider a graph with 12 points. It is possible to reach from any other point through a sequence of edges. The number of edges, e, in the graph must satisfy the condition:- a) 11 ≤ e ≤ 66 b) 11 ≤ e ≤ 65 c) 10 ≤ e ≤ 66 d) 0 ≤ e ≤ 11
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