How to generate random graph of n vertices with random connections with specified number of Edge in matlab

Though i have used the below code for generating the random graph of n vertices with random connections, it is even choosing the number of edges randomly. Could some one please help me to find the solution for this?

G = round(rand(n));

G = triu(G) + triu(G,1)';

G = G - diag(diag(G));

Example: n = 5; number of edges = 10

Response:

0 1 0 1 0

1 0 1 0 0

1 1 0 1 0

0 0 1 0 1

0 1 0 0 0

Answer 1

[Matt J]

n=5; %number of nodes
e=10; %number of edges

T=table(randi(n,e,2),'Var',{'EndNodes'});

G=graph(T);

plot(G)

[RAMA KRISHNA KOPPANATI]

Thank you @Matt J for taking out your time to answer.

I want a matrix of size n*n with specified number of edges. as shown below

Example: n = 5; number of edges = 10

Response:

0 1 0 1 0

1 0 1 0 0

1 1 0 1 0

0 0 1 0 1

0 1 0 0 0

another example: n =3; no. of edges = 2

0 1 0

0 0 1

0 0 0

[Matt J]

n=5; %number of nodes
e=10; %number of edges

T=table(randi(n,e,2),'Var',{'EndNodes'});

G=graph(T);

full( adjacency(G) )

ans = 5×5

0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0

[RAMA KRISHNA KOPPANATI]

Dear @Matt J, It is not giving the desired output. Even in the given code output, there are 11 edges though you have given 10. I have checked with different values as well, the numbers edges your code produces are morethan or less than the required edges.

Note: Please consider this assumption as well, there shouldn't be any ones in diagonal position.

[Matt J]

the numbers edges your code produces are morethan or less than the required edges.

No, the number of non-zeros in the adjacency matrix does not give the number of edges (if it's an undirected graph).

Note: Please consider this assumption as well, there shouldn't be any ones in diagonal position.

See below.

n=5; %number of nodes
e=10; %number of edges

E=nchoosek(1:n,2);
E=E(randi(size(E,1) ,e ,1),:);

T=table(E ,'Var',{'EndNodes'});

G=graph(T);

full( adjacency(G) )

ans = 5×5

0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0

plot(G)

numnodes(G)

ans = 5

numedges(G)

ans = 10

[RAMA KRISHNA KOPPANATI]

Thank you very much @Matt J for all your support:)

[RAMA KRISHNA KOPPANATI]

Dear @Matt J, Some edges are repeating again and again. Is it possible to get unique edges?