UpperRight is a value that options VertexNumberPosition, VertexLabelPosition, and EdgeLabelPosition can take on in ShowGraph.

VertexColoring[g] uses Brelaz's heuristic to find a good, but not necessarily minimal, vertex coloring of graph g.

VertexColor is an option that allows the user to associate colors with vertices.

VertexConnectivityGraph[g] returns a directed graph that contains an edge corresponding to each vertex in g and in which edge-disjoint paths correspond to vertex-disjoint ...

VertexConnectivity[g] gives the minimum number of vertices whose deletion from graph g disconnects it. VertexConnectivity[g, Cut] gives a set of vertices of minimum size ...

VertexCover[g] returns a vertex cover of the graph g.

VertexCoverQ[g, c] yields True if the vertices in list c define a vertex cover of graph g.

VertexLabelColor is an option that allows the user to associate different colors to vertex labels.

VertexLabel is an option that can take on values True or False, allowing the user to set and display vertex labels.

VertexLabelPosition is an option that allows the user to place a vertex label in a certain position relative to the vertex.