Full Pre-print or download pdf and appendices Interactive Application Appendices Examples 1 & 2 Proof of Lemma 2.5: The Unimodal Property Proof of Proposition 2.6 Proof of Proposition 3.9: The Tovey Property Proof of Proposition 4.1 Proof of Lemmas 3.1, 3.2 and 3.7 Additional Lemmas & Proofs The Partially Restricted Problem The Fully Restricted Problem