Nominated Proof-of-Stake¶ Intro to Nominated Proof-of-Stake Validators and nominators The NPoS scheme The election process 1. Overview of results for the NPoS election problem Problem statement and notation Operational concerns Efficient algorithms Who elects the committee? Committee-finding algorithm (off-chain) Committee-comparing algorithm (on-chain) Objectives Balance Support Fair representation Overview of our results Committee finding Committee-comparing 2. The min-norm max-flow problem 1. Notation 2. The min-norm max-flow problem (MNMF) 3. Overview of algorithms for MNMF 4. Technique using parametric flow algorithms 5. The star balancing heuristic 3. The maximin support problem 1. Definitions and notation 2. The algorithm Analysis of approximation factor Analysis of running time 3. Properties of the maximin support objective 4. Sequential Phragmén’s method. 1. Notation 2. Algorithm 3. Axiomatic properties 5. A Phragmén-like Heuristic Notation The basic heuristic (Parameterised) Proportional Justified Representation. Local Search for provable PJR Factor 3.15 approximation algorithm Analysis