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arXiv · 2603.02336

Flow Subgraphs and Flow Network Design under End-to-End Power Dissipation Constraints

Zhihao Qiu·Xinhan Liu·Rogier Noldus·Piet Van Mieghem
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Abstract

We investigate how the underlying graph of a network supports a flow between a source node and a destination node and propose to compute the expected number of nodes and links that contribute to transferring items in random graphs. Since the transportation is associated with a \quotes{cost} or \quotes{power dissipation}, we further address how to construct a graph given predetermined end-to-end power dissipation, which can be reduced to the \quotes{inverse effective resistance problem} that asks for a weighted graph in which the effective resistance matrix equals a predetermined demand matrix. We propose a heuristic algorithm, \quotes{Resistor Gap Pruning} (RGP), which provides sparse graphs closely approximating the demand effective resistance and which shows stable performance across different demand scenarios.

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Zhihao Qiu, Xinhan Liu, Rogier Noldus, Piet Van Mieghem. 2026-03-02. Flow Subgraphs and Flow Network Design under End-to-End Power Dissipation Constraints. https://arxiv.org/abs/2603.02336

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