This book gives the state-of-the-art on transversals in linear
uniform hypergraphs. The notion of transversal is fundamental to
hypergraph theory and has been studied extensively. Very few
articles have discussed bounds on the transversal number for linear
hypergraphs, even though these bounds are integral components in
many applications. This book is one of the first to give strong
non-trivial bounds on the transversal number for linear
hypergraphs. The discussion may lead to further study of those
problems which have not been solved completely, and may also
inspire the readers to raise new questions and research directions.
The book is written with two readerships in mind. The first is the
graduate student who may wish to work on open problems in the area
or is interested in exploring the field of transversals in
hypergraphs. This exposition will go far to familiarize the student
with the subject, the research techniques, and the major
accomplishments in the field. The photographs included allow the
reader to associate faces with several researchers who made
important discoveries and contributions to the subject. The second
audience is the established researcher in hypergraph theory who
will benefit from having easy access to known results and latest
developments in the field of transversals in linear hypergraphs.
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