how can i create a graph by selecting random edges in a set of given edges?

hi, i need to create an graph with edges=10 and nodes=5, since i can have 1024 different combinations with out selfloops, how can i generate a graph by selecting random edges

Answer 1

[BhaTTa]

@Krishna Bezawada, to generate a graph with 5 nodes and 10 edges in MATLAB, you can use the graph function. Since you want to randomly select edges without self-loops, you can follow these steps:

1. Generate all possible edges without self-loops for a graph with 5 nodes.
2. Randomly select 10 edges from these possible edges.
3. Create the graph using the selected edges.

Here's a MATLAB script to accomplish this:

% Number of nodes and edges

numNodes = 5;

numEdges = 10;

% Generate all possible edges without self-loops

allEdges = nchoosek(1:numNodes, 2); % Combinations of two nodes

% Check the number of possible edges

numPossibleEdges = size(allEdges, 1);

% Ensure that the number of edges is feasible

if numEdges > numPossibleEdges

error('The number of edges exceeds the possible number without self-loops.');

end

% Randomly select edges

selectedEdgesIdx = randperm(numPossibleEdges, numEdges);

selectedEdges = allEdges(selectedEdgesIdx, :);

% Create and plot the graph

G = graph(selectedEdges(:, 1), selectedEdges(:, 2));

% Plot the graph

figure;

plot(G);

title('Randomly Generated Graph');