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INTRODUCTORY MAP THEORY |Kapa & Omega, Glendale, AZ

INTRODUCTORY MAP THEORY |Kapa & Omega, Glendale, AZ
Series: Geodesy
About the Book

A Smarandache system (Σ; R) is such a mathematical system with at least
one Smarandachely denied rule r in R such that it behaves in at least two different ways
within the same set Σ, i.e., validated and invalided, or only invalided but in multiple distinct
ways. A map is a 2-cell decomposition of surface, which can be seen as a connected
graphs in development from partition to permutation, also a basis for constructing Smarandache
systems, particularly, Smarandache 2-manifolds for Smarandache geometry. As an
introductory book, this book contains the elementary materials in map theory, including
embeddings of a graph, abstract maps, duality, orientable and non-orientable maps, isomorphisms
of maps and the enumeration of rooted or unrooted maps, particularly, the
joint tree representation of an embedding of a graph on two dimensional manifolds, which
enables one to make the complication much simpler on map enumeration. All of these
are valuable for researchers and students in combinatorics, graphs and low dimensional
topology

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