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This book is written by a mathematician and a theoretical biologist
who have arrived at a good mutual understanding and a well
worked-out common notation. The reader need hardly be convinced of
the necessity of such a mutual understanding, not only for the two
investigators, but also for the sciences they represent. Like
Moliere's hero, geneticists are gradually beginning to understand
that, unknowingly, they have been speaking in the language of
cybernetics. Mathematicians are unexpec tedly discovering that many
past and present problems and methods of genetics can be naturally
formulated in the language of graph theory. In this way a powerful
abstract mathematical theory suddenly finds a productive
application. Moreover, in its turn, such an application be gins to
"feed" the mathematical theory by presenting it with a number of
new problems. The reader may judge for himself the fruitfulness of
such mutual interaction. At the same time several important
circumstances need to be men tioned. The formalization and rigorous
formulation given here embraces not only the older problems, known
by geneticists for many decades (the construction of genetic maps,
the analysis of complementation, etc. ), but also comparatively new
problems: the construction of partial com plementation maps,
phylogenetic trees of proteins, etc."
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