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The central theme of the present book is zigzags and
central-circuits of three- or four-regular plane graphs, which
allow a double covering or covering of the edgeset to be obtained.
The book presents zigzag and central circuit structures of
geometric fullerenes and several other classes of graph of interest
in the fields of chemistry and mathematics. It also discusses the
symmetries, parameterization and the Goldberg-Coxeter construction
for those graphs. It is the first book on this subject, presenting
full structure theory of such graphs. While many previous
publications only addressed particular questions about selected
graphs, this book is based on numerous computations and presents
extensive data (tables and figures), as well as algorithmic and
computational information. It will be of interest to researchers
and students of discrete geometry, mathematical chemistry and
combinatorics, as well as to lay mathematicians.
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