diff --git a/README.md b/README.md
index 9abc2a5..273b3b9 100644
--- a/README.md
+++ b/README.md
@@ -44,6 +44,9 @@ var graph = new Graph({
 #### `graph.digraph`
 Indicates if the graph's edges are directed.  Should be considered read-only.
 
+#### `graph.vertexExists(v)`
+Returns `true` if a vertex with id `v` exists in the graph, and `false` otherwise.
+
 #### `graph.getVertex(v)`
 Returns vertex `v` in an object of the following format,
  - `id` - the vertex's id.
@@ -74,6 +77,9 @@ Removes vertex with id `v` from the graph, including any incident edges.
 #### `graph.removeVertices(vertexIdsOrLabel)`
 Removes a collection of vertices and their incident edges from the graph.  If `vertexIdsOrLabel` is an array of vertex ids, those vertices will be removed.  If `vertexIdsOrLabel` is a label, all vertices with that label will be removed.
 
+#### `graph.edgeExists(u, v)`
+Returns `true` if an edge from `u` to `v` exists in the graph, and `false` otherwise.  This method also accepts a single array argument containing the edge-pair (e.g. `[u, v]`).
+
 #### `graph.getEdge(u, v)`
 Returns the edge from vertex `u` to vertex `v` in an object of the following format,
  - `pair` - an array of two vertex ids representing the edge-pair.
diff --git a/lib/graph.js b/lib/graph.js
index ff4ae0b..f797a75 100644
--- a/lib/graph.js
+++ b/lib/graph.js
@@ -104,6 +104,11 @@ exports = module.exports = internals.Graph = function (definition) {
 
 };
 
+internals.Graph.prototype.vertexExists = function (v) {
+
+    return !!this._vertices[v];
+};
+
 internals.Graph.prototype.getVertex = function (v) {
 
     var vertex = this._vertices[v] || null;
@@ -185,6 +190,19 @@ internals.Graph.prototype.removeVertices = function (vertices /* or a label */)
     return this;
 };
 
+internals.Graph.prototype.edgeExists = function (u, v) {
+
+    if (Array.isArray(u)) {
+
+        Hoek.assert(u.length === 2, 'Not a proper edge pair.');
+
+        v = u[1];
+        u = u[0];
+    }
+
+    return !!this._lookupEdge(u, v);
+};
+
 internals.Graph.prototype.getEdge = function (u, v) {
 
     if (Array.isArray(u)) {
diff --git a/lib/traversal.js b/lib/traversal.js
index 74f1114..a90081e 100644
--- a/lib/traversal.js
+++ b/lib/traversal.js
@@ -17,7 +17,7 @@ exports = module.exports = internals.Traversal = function (graph) {
 
 internals.Traversal.prototype.hop = function (v) {
 
-    Hoek.assert(this.graph.getVertex(v), 'Vertex [', v, '] does not exist.');
+    Hoek.assert(this.graph.vertexExists(v), 'Vertex [', v, '] does not exist.');
 
     this._records.push({ act: 'hop', args: [v] });
     this._visit(v);
@@ -51,7 +51,7 @@ internals.Traversal.prototype.currentVertex = function () {
 
 internals.Traversal.prototype.visits = function (v) {
 
-    Hoek.assert(this.graph.getVertex(v), 'Vertex [', v, '] does not exist.');
+    Hoek.assert(this.graph.vertexExists(v), 'Vertex [', v, '] does not exist.');
 
     return (this._visited[v] || 0);
 };
diff --git a/test/index.js b/test/index.js
index 6031459..a7eb1a8 100644
--- a/test/index.js
+++ b/test/index.js
@@ -508,6 +508,19 @@ describe('Gert', function () {
             done();
         });
 
+        it('vertexExists(v) indicates whether a vertex exists in a graph.', function (done) {
+
+            var graph = new Graph({ vertices: [1, 'a', 2.2] });
+
+            expect(graph.vertexExists(1)).to.equal(true);
+            expect(graph.vertexExists('a')).to.equal(true);
+            expect(graph.vertexExists(2.2)).to.equal(true);
+
+            expect(graph.vertexExists('non')).to.equal(false);
+
+            done();
+        });
+
         it('getVertex(v) returns empty and non-empty vertex information.', function (done) {
 
             var data = {
@@ -975,6 +988,42 @@ describe('Gert', function () {
             done();
         });
 
+        it('edgeExists(u, v) and edgeExists([u, v]) indicate whether an edge exists in a graph.', function (done) {
+
+            var digraph = new Graph({
+                digraph: true,
+                edges: [
+                    ['a', 'b'],
+                    ['b', 'a'],
+                    ['b', 'c'],
+                    ['b', 'b']
+                ]
+            });
+
+            var nondigraph = new Graph({
+                digraph: false,
+                edges: [
+                    ['a', 'b'],
+                    ['b', 'b']
+                ]
+            });
+
+            expect(digraph.edgeExists('a', 'b')).to.equal(true);
+            expect(digraph.edgeExists('b', 'a')).to.equal(true);
+            expect(digraph.edgeExists('b', 'c')).to.equal(true);
+            expect(digraph.edgeExists('b', 'b')).to.equal(true);
+            expect(digraph.edgeExists('c', 'b')).to.equal(false);
+
+            expect(digraph.edgeExists(['a', 'b'])).to.equal(true);
+            expect(digraph.edgeExists(['c', 'b'])).to.equal(false);
+
+            expect(nondigraph.edgeExists('a', 'b')).to.equal(true);
+            expect(nondigraph.edgeExists('b', 'a')).to.equal(true);
+            expect(nondigraph.edgeExists('b', 'b')).to.equal(true);
+
+            done();
+        });
+
         it('getEdge(u, v) and getEdge([u, v]) returns the specified edge or null if no match.', function (done) {
 
             var graph = new Graph({