Thumbnail: Inclusion–exclusion illustrated by a Venn diagram for three sets. 5.4: The Principle of Inclusion and Exclusion (Exercises) This section contains the supplementary problems related to the materials discussed in Chapter 5.This is also known as the Dirichlet’s drawer principle or. Informally it says that if n +1 or more pigeons are placed in n holes, then some hole must have at least 2 pigeons. In this section, we will use the deletion-contraction recurrence to reduce the computation of the chromatic polynomial of a graph (exemplified by Figure 5.3.1) to the computation of chromatic polynomials that can easily be computed. pigeon hole principle and principle of inclusion-exclusion 2 Pigeon Hole Principle The pigeon hole principle is a simple, yet extremely powerful proof principle.
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