Added option in shift-g to select verts by number of connected edges (valence).

source/blender/bmesh/intern/bmesh_operators.h

@@ -72,7 +72,8 @@ enum {
 enum {
 	SIMVERT_NORMAL = 0,
 	SIMVERT_FACE,
-	SIMVERT_VGROUP
+	SIMVERT_VGROUP,
+	SIMVERT_EDGE
 };
 
 enum {

source/blender/bmesh/operators/bmo_utils.c

@@ -873,6 +873,7 @@ typedef struct SimSel_VertExt {
 	BMVert *v;
 	union {
 		int num_faces; /* adjacent faces */
+		int num_edges; /* adjacent edges */
 		MDeformVert *dvert; /* deform vertex */
 	};
 } SimSel_VertExt;
@@ -928,6 +929,9 @@ void bmo_similarverts_exec(BMesh *bm, BMOperator *op)
 					v_ext[i].dvert = NULL;
 				}
 				break;
+			case SIMVERT_EDGE:
+				v_ext[i].num_edges = BM_vert_edge_count(v);
+				break;
 		}
 
 		i++;
@@ -970,6 +974,13 @@ void bmo_similarverts_exec(BMesh *bm, BMOperator *op)
 							}
 						}
 						break;
+					case SIMVERT_EDGE:
+						/* number of adjacent edges */
+						if (v_ext[i].num_edges == v_ext[indices[idx]].num_edges) {
+							BMO_elem_flag_enable(bm, v, VERT_MARK);
+							cont = FALSE;
+						}
+						break;
 				}
 			}
 		}

source/blender/editors/mesh/editmesh_select.c

@@ -676,6 +676,7 @@ static EnumPropertyItem prop_similar_types[] = {
 	{SIMVERT_NORMAL, "NORMAL", 0, "Normal", ""},
 	{SIMVERT_FACE, "FACE", 0, "Amount of Adjacent Faces", ""},
 	{SIMVERT_VGROUP, "VGROUP", 0, "Vertex Groups", ""},
+	{SIMVERT_EDGE, "EDGE", 0, "Amount of connecting edges", ""},
 
 	{SIMEDGE_LENGTH, "LENGTH", 0, "Length", ""},
 	{SIMEDGE_DIR, "DIR", 0, "Direction", ""},