Valence and Face Vectors: An Example
Department of Mathematics and Computer Studies
York College (CUNY)
Jamaica, New York
If G is a plane graph, embedded in the plane (no accidental crossings) then G has both a "valence vector" and "face vector."
vi = the number vertices of the graph of valence i
pk = the number of faces of the graph with k sides.
v2 = 4; v3 = 7; v4 = 1; v5 = 3
p3 = 6; p4 = 2; p6 = 1; p7 = 1; p9 = 1