How to linearize your cluster

Posted by Lagrang3

Mar 15, 2025/17:22 UTC

The discussion opens with an exploration into the concept of linearization within the context of transaction clusters. Linearization refers to an algorithmic process that arranges a dependency graph of transactions in topological order, ensuring that each transaction precedes its dependents in the sequence. This process is highlighted as challenging due to the difficulty in maximizing fees while filling blocks, underscoring the complexity of achieving an optimal arrangement.

Further examination reveals that while finding the optimal linearization is difficult, approximate heuristics can be employed to derive reasonably effective solutions. These include strategies for linearizing clusters of transactions and then merging these sequences to enhance the overall outcome. However, the conversation points to a gap in understanding regarding how to evaluate the effectiveness of one linearization strategy over another. The absence of a clear definition or measure of 'optimality' makes it challenging to assess the quality of different linearization approaches.

The inquiry seeks clarification on what constitutes an 'optimal linearization' and how the quality of one approach can be measured against another. This reflects a deeper quest for a benchmark or standard that could guide the evaluation of linearization strategies, suggesting an area for further research and development within the field.

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Dec 20 - Apr 24, 2025

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