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Symmetry in Graphs (Hardcover)
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Symmetry in Graphs (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
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This is the first full-length book on the major theme of symmetry
in graphs. Forming part of algebraic graph theory, this
fast-growing field is concerned with the study of highly symmetric
graphs, particularly vertex-transitive graphs, and other
combinatorial structures, primarily by group-theoretic techniques.
In practice the street goes both ways and these investigations shed
new light on permutation groups and related algebraic structures.
The book assumes a first course in graph theory and group theory
but no specialized knowledge of the theory of permutation groups or
vertex-transitive graphs. It begins with the basic material before
introducing the field's major problems and most active research
themes in order to motivate the detailed discussion of individual
topics that follows. Featuring many examples and over 450
exercises, it is an essential introduction to the field for
graduate students and a valuable addition to any algebraic graph
theorist's bookshelf.
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