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This monogram considers certain sequential and parallel algorithms
on interval graphs, permutation graphs and trapezoid graphs. These
graphs arise quite naturally in real-world applications. I have
tried to present a rigorous and coherent theory. Proofs are
constructive and are streamlined as much as possible. I have
directed much attention to the algorithmic aspects of every
problem. Algorithms are expressed in a manner that will make their
adaption to a particular programming language relatively easy. The
complexity of every algorithm is analyzed so that some measure of
its efficiency can be determined. This monogram will be very useful
for applied mathematicians and computer scientists at the research
level. Many applications of the theoretical and computational
aspects of the subject are described throughout the monogram. The
topics covered in this monogram have been chosen to fill a vacuum
in the literature, and their interrelation.
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