How to stay only edges between two nodes? - vis.js

Question

I have follow graph. I need to stay only ages that placed between two nodes Company 5 and Company 7 in my example. Like:
The problem that I can't find any examples how to do it. Could anybody help me?
The live example: https://jsfiddle.net/5ntzqafv/
// create an array with nodes
var nodes = new vis.DataSet([
{id: 1, label: 'Company 1', group: "company", },
{id: 2, label: 'Mike', group: "owner"},
{id: 3, label: 'David', group: "founder"},
{id: 4, label: 'Company 2', group: "company"},
{id: 5, label: 'Company 3', group: "company"},
{id: 6, label: 'Company 4', group: "company"},
{id: 8, label: 'Company 5', group: "company", borderWidth: 4, color: { border: '#077eb8' }, font: { size: 16},},
{id: 9, label: 'Company 6', group: "company"},
{id: 10, label: 'Company 7', group: "company", borderWidth: 4, color: { border: '#077eb8' }, font: { size: 16},},
{id: 11, label: 'Company 8', group: "company"},
{id: 12, label: 'Company 9', group: "company"}
]);
// create an array with edges
var edges = new vis.DataSet([
{from: 1, to: 2},
{from: 1, to: 3},
{from: 2, to: 11},
{from: 3, to: 4},
{from: 4, to: 3},
{from: 2, to: 8},
{from: 3, to: 6},
{from: 3, to: 5},
{from: 4, to: 9},
{from: 7, to: 4},
{from: 7, to: 12},
{from: 10, to: 12},
{from: 9, to: 12},
{from: 4, to: 10}
]);
// create a network
var container = document.getElementById("mynetwork");
var data = {
nodes: nodes,
edges: edges
};
var options = {nodes: {
shape: "box",
widthConstraint: {
maximum: 200
}
}};
var network = new vis.Network(container, data, options);

Answer 1

You can just use some simple algorithms to search paths in graphs, like BFS.
Algorithm is described here: https://en.wikipedia.org/wiki/Breadth-first_search
My implementation: https://jsfiddle.net/alexey_kuldoshin/3svmqujz/74/
function getPath(graph, from, to) {
let queue = [ from ];
let p = {};
p[from] = -1;
while (queue.length > 0) {
let v = queue.shift();
if (v == to) {
break;
}
graph[v].forEach(edge => {
if (!(edge in p)) {
p[edge] = v;
queue.push(edge);
}
});
}
let ans = [];
while (to != -1) {
ans.push(to);
to = p[to];
}
console.log(ans);
return ans;
}