JSFiddle - React, Tailwind, and code Playground

JavaScript

var vertexes = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];

var siblings = {
	1: [2,3,4],
  2: [5,6],
  3: [7],
  4: [8,9],
  5: [10]
};

function paths(v, s, path, result) {
	if (!v) {
    if (path.length > 1) {
      result.push(path.slice(0));
    }
  } else {
  	for (var i = 0; i < v.length; ++i) {
      path.push(v[i]);
      paths(s[v[i]], s, path, result);
      path.pop();
    }
  }
}

function getPaths(v, s) {
  var path = [];
  var result = [];
  paths(v, s, path, result);
  return result;
}

console.log(getPaths(vertexes, siblings));