Scalable Exact Path Selection via Structure-Aware Search for Virtual Payment Channels

๐Ÿ“… 2026-08-23
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๐Ÿ“ Abstract
Virtual Payment Channels (VPCs) enable efficient off-chain transactions in Payment Channel Networks (PCNs), but their performance depends on selecting high-quality underlying paths. Existing approaches either rely on simplified metrics or incur high computational cost. We study VPC path selection under generalized monotone metrics and propose a structure-aware exact solver based on quadtree search. By exploiting monotonicity and distance plateau properties, our method prunes large regions of the capacity-constrained search space while preserving optimality, significantly reducing the number of shortest-path computations. We further instantiate the framework with a composite metric that integrates economic cost and security risk, enabling flexible trade-offs across application scenarios. Experiments on synthetic graphs and real-world Lightning Network topologies (up to 12,552 nodes) show 2--5 orders of magnitude speedup over prior work, with consistent sub-100ms latency.
Problem

Research questions and friction points this paper is trying to address.

Virtual Payment Channels
Path Selection
Monotone Metrics
Capacity-Constrained Search Space
Economic Cost and Security Risk
Innovation

Methods, ideas, or system contributions that make the work stand out.

structure-aware search
quadtree search
monotone metrics
composite metric
virtual payment channels
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