The $2^{n}$ vertices of graph G correspond to all subsets a set of size n, for $n \geq 6.$ Two vertices of G are adjacent if and only if the corresponding sets intersect in exactly two elements.

The number of connected components in G is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n + 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2^{n / 2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2^{n} / n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B n + 2
The number of connected component of G is determined by the degree and edges of vertices there are n + 1 vertices whose degree is zero. they can form n + 1 connected component. The remaining vertices of the graph G are a connected as a single component. So total number of connected component is n + 2.

Suggest Corrections

Similar questions

Q. The

2^{n}

vertices of graph G correspond to all subsets a set of size n, for

n \geq 6.

Two vertices of G are adjacent if and only if the corresponding sets intersect in exactly two elements.

The number of vertices of degree zero in G is

The $2^{n}$ vertices of graph G correspond to all subsets a set of size n, for $n \geq 6.$ Two vertices of G are adjacent if and only if the corresponding sets intersect in exactly two elements.

The maximum degree of a vertex in G is

Q. An undirected graph G with n vertices and edges is represented by adjacency list. What is the time required to generate all the connected components?

Q. Let G be a graph with 100! vertices, with each vertex labelled by a distinct permutation of the numbers 1, 2, ... 100. there is an edge between vertices u and v if and only if the label of u can be obtained by swapping two adjacent numbers in the label of v. Let y denote the degree of a vertex in G and z denote the number of connected components in G.
Then, y + 10z =

Q. Let G = (V, E) be a directed graph where

V_{1}

the set of vertices and E the set of edges. The which one of the following graphs has the same strongly connected components as G?

Join BYJU'S Learning Program

The 2n vertices of graph G correspond to all subsets a set of size n, for n≥6. Two vertices of G are adjacent if and only if the corresponding sets intersect in exactly two elements. The number of connected components in G is

The $2^{n}$ vertices of graph G correspond to all subsets a set of size n, for $n \geq 6.$ Two vertices of G are adjacent if and only if the corresponding sets intersect in exactly two elements.

The number of connected components in G is