VertexLabels is an option and property for Graph and related functions that specifies what labels and label positions should be used for vertices.

VertexLabelStyle is an option and property for Graph and related functions that specifies the style to use for vertex labels.

VertexList[g] gives the list of vertices for the graph g.VertexList[g, patt] gives a list of vertices that match the pattern patt.

VertexNormals is an option for graphics primitives which specifies the normal directions to assign to 3D vertices.

VertexOutComponent[g, {v_1, v_2, ...}] gives the vertices in the graph g that have a directed path from at least one of v_1, v_2, ....VertexOutComponent[g, {v_1, v_2, ...}, ...

VertexOutDegree[g] gives the list of vertex out-degrees for all vertices in the graph g.VertexOutDegree[g, v] gives the vertex out-degree for the vertex v.

VertexQ[g, v] yields True if v is a vertex in the graph g and False otherwise.

VertexRenderingFunction is an option for GraphPlot and related functions that gives a function to generate the graphics primitives to use in rendering each vertex.

VertexReplace[g, {v_1 -> w_1, v_2 -> w_2, ...}] replaces each vertex v_i in the graph g by w_i.

VertexShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each vertex.