Corpus ID: 117669736

Circular Planar Electrical Networks II: Positivity Phenomena

@article{Alman2013CircularPE,
  title={Circular Planar Electrical Networks II: Positivity Phenomena},
  author={Joshua Alman and Carl Lian and B. Tran},
  journal={arXiv: Combinatorics},
  year={2013}
}
  • Joshua Alman, Carl Lian, B. Tran
  • Published 2013
  • Mathematics
  • arXiv: Combinatorics
  • Curtis-Ingerman-Morrow characterize response matrices for circular planar electrical networks as symmetric square matrices with row sums zero and non-negative circular minors. In this paper, we study this positivity phenomenon more closely, from both algebraic and combinatorial perspectives. Extending work of Postnikov, we introduce electrical positroids, which are the sets of circular minors which can simultaneously be positive in a response matrix. We give a self-contained axiomatic… CONTINUE READING
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