Operads are algebraic devices offering a formalization of the
concept of operations with several inputs and one output. Such
operations can be naturally composed to form more complex ones.
Coming historically from algebraic topology, operads intervene now
as important objects in computer science and in combinatorics. A
lot of operads involving combinatorial objects highlight some of
their properties and allow to discover new ones. This book portrays
the main elements of this theory under a combinatorial point of
view and exposes the links it maintains with computer science and
combinatorics. Examples of operads appearing in combinatorics are
studied. The modern treatment of operads consisting in considering
the space of formal power series associated with an operad is
developed. Enrichments of nonsymmetric operads as colored, cyclic,
and symmetric operads are reviewed.
General
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