Design Fast in illustrator. Bigger Canvas?

Indeed, if the manual route is not fast enough you may order or create a high-speed script for your complete graphs.

Below is a draft that may serve as a starting point. Use it with paths that contain a "reasonable" number of anchorpoints. Otherwise, Illustrator will probably freeze if there are thousands of anchorpoints involved.

Usage:

• Save the code as a .js or jsx file.
• Select a single path (circle or any other path).
• Execute the script.

#target illustrator

(function() {
    if (!app.documents.length) return;

    var d = app.activeDocument, s = d.selection, t, i, j;
    if (!s || !s.length) return;

    for (i = 0; i < s.length; i++) {
        if (s[i].typename === "PathItem") { t = s[i]; break; }
    }

    if (!t) return;

    var p = t.pathPoints, n = p.length, c = [];
    if (n < 2) return;

    for (i = 0; i < n; i++) c.push(p[i].anchor);

    var g = t.layer.groupItems.add();
    g.move(t, ElementPlacement.PLACEBEFORE);

    for (i = 0; i < n; i++) {
        for (j = i + 1; j < n; j++) {
            var l = g.pathItems.add();
            l.setEntirePath([c[i], c[j]]);
            l.filled = false;
            l.stroked = true;
            if (t.stroked) {
                l.strokeColor = t.strokeColor;
                l.strokeWidth = t.strokeWidth;
            }
        }
    }

    d.selection = null;
    g.selected = true;
})();