Simplicial Complex Entropy

  • Stefan Dantchev
  • Ioannis IvrissimtzisEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10521)


We propose an entropy function for simplicial complices. Its value gives the expected cost of the optimal encoding of sequences of vertices of the complex, when any two vertices belonging to the same simplex are indistinguishable. We focus on the computational properties of the entropy function, showing that it can be computed efficiently. Several examples over complices consisting of hundreds of simplices show that the proposed entropy function can be used in the analysis of large sequences of simplicial complices that often appear in computational topology applications.


Entropy Simplicial complices Ambiguous encoding Graph entropy Simplicial complex entropy 



This research was partially supported by the EPRSC Grant EP/K016687/1 “Topology, Geometry and Laplacians of Simplicial Complexes”.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Duarham UniversityDurhamUK

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