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mmna-graphs's Introduction

mmna-graphs

A collaberative project between @phinanix and @ohAitch to search for additional examples of Minor Minimal Non-apex Graphs (MMNA graphs). Previous work only searched up to examples on 10 vertices, but with clever techniques and performant code I suspect exhaustive search up to at least 12-13 vertices is possible without an exorbitant number of core-hours.

Algorithms

  • Planarity Checking (using the Demoucron, Malgrange, and Pertuiset (DMP) algorithm)
  • Apex and MMNA checking (using heuristics)
  • Enumeration of graph minors
  • Graph Canonicalization/Automorphism/Isomorphism (in-progress)
  • Enumeration of Planar / Apex / MMNA candidate graphs a la plantri

mmna-graphs's People

Contributors

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Stargazers

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Watchers

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