Recursive generation of simple planar 5-regular graphs and pentangulations

  title={Recursive generation of simple planar 5-regular graphs and pentangulations},
  author={Mahdieh Hasheminezhad and Brendan D. McKay and Tristan Reeves},
  journal={J. Graph Algorithms Appl.},
We describe how the 5-regular simple planar graphs can all be obtained from an elementary family of starting graphs by repeatedly applying a few local expansion operations. The proof uses an amalgam of theory and computation. By incorporating the recursion into the canonical construction path method of isomorph rejection, a generator of non-isomorphic embedded 5-regular planar graphs is obtained with time complexity O(n) per isomorphism class. A similar result is obtained for simple planar… CONTINUE READING


Publications citing this paper.
Showing 1-2 of 2 extracted citations


Publications referenced by this paper.
Showing 1-10 of 15 references

A universal set of growth operations for fullerenes

  • M. Hasheminezhad, H. Fleischner, B. D. McKay
  • Chem. Phys. Lett.,
  • 2008
1 Excerpt

A generating theorem for 5 - regular simple planar graphs

  • J. Lehel
  • I . Congr . Numerantium
  • 2007

A generating theorem for 5-regular simple planar graphs. I

  • J. Kanno, M. Kriesell
  • Congr. Numerantium,
  • 2007
2 Excerpts

Similar Papers

Loading similar papers…