work

Research interests


Graph Theory and its Applications

Publications



submitted

• M. Hellmuth, P.J. Ostermeier, P.F. Stadler,
  Minimum Cycle Bases of Lexicographic Products,
  (submitted: Ars Math. Contemporanea 2010)
  
  



published

12. M. Hellmuth, L. Gringmann, P.F. Stadler,
    Diagonalized Cartesian Products of S-prime graphs are S-prime,
    (accepted) Discrete Mathematics, 2011
    
    
11. L. Gringmann, M. Hellmuth, P.F. Stadler,
    The Cartesian Product of Hypergraphs,
    (accepted) Journal of Graph Theory, 2011
    
    
10. M. Hellmuth
    A Local Prime Factor Decomposition Algorithm,
    (accepted) Discrete Mathematics, 2011
    
    
9. C. Heine, S. Jaenicke, M. Hellmuth, P.F. Stadler, G. Scheuermann,
   Visualization of Graph Products,
   (accepted) IEEE Transactions on Visualization and Computer Graphics, 2010
   
   
8. M. Hellmuth, D. Merkle, M. Middendorf,
   Extended Shapes for the Combinatorial Design of RNA Sequences,
   Int. J. of Computational Biology and Drug Design, 2, 4, 371 - 384, 2009
   [publishers's page]
   
   
7. M. Hellmuth, W. Imrich, W. Kloeckl, P.F. Stadler,
   Local algorithms for the prime factorization of strong product graphs,
   Math. Comput. Sci, 2009, 2, 4, 653-682, 2009
   [publishers's page]
   
   
6. P.J. Ostermeier, M. Hellmuth, K. Klemm, J. Leydold, P.F. Stadler,
   A Note on Quasi-Robust Cycle Bases,
   Ars Math. Contemporanea, 2, 2, 231-240, 2009
   [pdf]
   
   
5. T. Ingalls, G. Martius, M. Hellmuth, M. Marz, S.J. Prohaska,
   Converting DNA to Music: ComposAlign,
   German Conference on Bioinformatics 2009:Lecture Notes in Informatics, 93-103, 2009
   [abstract] [supplement]
   
   
4. M. Hellmuth, D. Merkle, M. Middendorf,
   On the Design of RNA Sequences for Realizing Extended Shapes,
   Bioinformatics, Systems Biology and Intelligent Computing, IJCBS '09, 167-173, 2009
   [publishers's page]
   
   
3. T. Biyikoglu, M. Hellmuth, J. Leydold,
   Largest Eigenvalues of the Discrete p-Laplacian of Trees with Degree Sequences,
   Elec. J. Lin. Alg, 18, 202-210, 2009.
   [pdf]
   
   
2. M. Hellmuth, W. Imrich, W. Kloeckl, P.F. Stadler,
   Approximate graph products,
   Journal of Combinatorics, 30, 5, Part Special Issue on Metric Graph Theory, 1119-1133, 2009.
   [publishers's page]
   
   
1. T. Biyikoglu, M. Hellmuth, J. Leydold,
   Largest Laplacian Eigenvalue and Degree Sequences of Trees,
   Research Report Series / Department of Statistics and Mathematics, Nr. 64, 2008.
   [pdf]

PhD Thesis


• Local Prime Factor Decomposition of Approximate Strong Product Graphs [pdf]

Thesis for Diploma


• Konstruktion von Worten mit Matchingeigenschaften und Anwendung auf das RNA Design [pdf]