The Analysis and Design of Approximation Algorithms for the Maximum Induced Planar Subgraph Problem

Author: Kerri Morgan
Supervisor: Dr. Graham Farr

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References

  1. K.J. Edwards and G. Farr. Fragmentability of graphs. Journal of Combinatorial Theory (Series B), 82:30-37, 2001.
  2. K.J. Edwards and G. Farr. An algorithm for finding large induced planar subgraphs. In P. Mutzel, M. Jünger and S. Leipert, editors, Graph Drawing: 9th Symposium, GD 2001, Lecture Notes in Computer Science 2265, pages 75-83. Springer-Verlag, Berlin, 2002.
  3. K.J. Edwards and G. Farr. Planarization and framentability of some classes of graphs. Technical Report 2003/144, School of Computer Science and Software Engineering, Monash University, 2003.
  4. M.M. Halldórsson and H.C. Lau. Low-degree partitioning via local search with applications to constraint satisfaction, max cut and colouring. Journal of Graph Algorithms and Applications, 1:1-13, 1997.
  5. C. Kuratowski. Sur les problèmes des courbes gauches en topologie. Fundamenta Mathematicae 15:271-283, 1930.
  6. J.M. Lewis. The node-deletion problem for hereditary problems is NP-complete. Journal of Computer and System Sciences, 20:219-230, 1980.
  7. T. Nishizeki and N. Chiba. Planar Graphs: Theory and Algorithms. Annals of Discrete Mathematics 32. Elsevier Science, Amsterdam, 1988.
For a complete set of references please refer to the bibliography in my thesis.

Last updated 9 November, 2005