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. 2016 Mar 7;49(2):379–405. doi: 10.1002/rsa.20645

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© 2016 The Authors Random Structures & Algorithms Published by Wiley Periodicals, Inc.

This is an open access article under the terms of the Creative Commons Attribution‐NonCommercial‐NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made.

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(A) An edge labelled on a 2‐complex. (B) Label propagation with $Δ_{1}^{up}$ , note the gradient like flows. (C) Label propagation with $Δ_{1}^{down}$ , note the short cycles or curl structure. (D) Label propagation with Δ₁, note the cycle or Harmonic around the boundary.