Byzantine agreement (BA) asks for a set of parties to reach agreement in an adversarial setting. A central question is how to construct efficient BA protocols that scale well with the number of parties. In particular, the communication complexity is a critical barrier for large-scale implementations. State-of-the-art, scalable BA protocols typically work by sampling a small, unpredictable committee of parties that will send messages in each round. These messages must reach all honest parties, to allow the next round’s committee to function. In practice, this is usually accomplished by propagating messages over a gossip network, implemented over a partial communication graph. Most formulations of gossip networks have an ideal guarantee that every message delivered to any honest party will be delivered to every other honest party. Unfortunately, realizing this guarantee necessarily makes the protocol vulnerable to denial-of-service attacks, since an adversary can flood the network with many messages that the protocol must deliver to all parties. In this paper, we make several contributions towards realizing the goal of efficient, scalable byzantine agreement over a gossip network: