Differential geometry is a mathematical discipline that uses the
methods of differential and integral calculus to study problems in
geometry. Graph theory is also a growing area in mathematical
research. In mathematics and computer science, graph theory is the
study of mathematical structures used to model pairwise relations
between objects from a certain collection. This book presents
various theories and applications in both of these mathematical
fields. Included are the concepts of dominating sets, one of the
most widely studied concepts in graph theory, some current
developments of graph theory in the fields of planar linkage
mechanisms and geared linkage mechanisms, lie algebras and the
application of CR Hamiltonian flows to the deformation theory of CR
structures.
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