@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:
- Generate all possible edges without self-loops for a graph with 5 nodes.
- Randomly select 10 edges from these possible edges.
- 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');
