In extremal combinatorics, 'k parts' refers to the division of a set or a graph into k distinct subsets or components. This concept is crucial for understanding how structures can be partitioned and analyzed, particularly in relation to the conditions of Szemerédi's Regularity Lemma, which discusses the regular behavior of graphs that can be partitioned into these subsets.
congrats on reading the definition of k parts. now let's actually learn it.