Extremal graph theory is a branch of
mathematics. In the narrow sense, extremal graph theory studies the
graphs which are extremal among graphs with a certain property. There are various meanings for the word extremal: with the largest number of
edges, the largest minimum degree, the smallest diameter, etc. In a broader sense, various other related questions can be included into extremal graph theory. In that case, the term extremal graph theory can encompass a large part of
graph theory.
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