Abstract:
In this note, we determine the nature
of separating trilaterals in a family of plane graphs.
We determine the structures of simple plane graphs
embedded on the sphere in which each face is either
a trilateral or a quadrilateral and in which there
is a facial separating trilateral.
This family is determined using reductions
which provide minor inclusion in the family.
Key Words: Embedding, facial, plane graphs, trilateral, sphere.
2010 Mathematics Subject Classification: Primary 05C10, 05C40.
