Hi Richard,
plot function for graphs doesn't specifically ensure a planar layout. However, you can use the layout function with the force or layered option as a starting point, though they may not guarantee planarity. But we can draw it in a manner that it follows the planar rules best.
Post ensuring your graph is planar using algorithms like Kuratowski's theorem or using third-party tools, force layout can be useful to achieve the desired format. The force layout is a force-directed algorithm that simulates a physical system where nodes repel each other like charged particles, and edges act like springs holding the nodes together. Force-directed layouts are particularly useful for visualizing the overall structure of a graph, as they tend to highlight clusters and reveal underlying patterns.
% Example graph
s = [1 1 1 2 2 3 3 4];
t = [2 3 4 3 5 4 5 5];
G = graph(s, t);
% Attempt to plot with a force-directed layout
h = plot(G, 'Layout', 'force');
Please review the following documentation on layout and determine if any other layout might be more beneficial.
Hope this helps!
