MOTIVATION Diagrams embedded in the biomedical literature convey rich contents, which often concisely and intuitively highlight key thesis of a research article. Despite their vital importance and informative clues for biomedical literature navigation and retrieval; currently, we miss an effective computational method for automatically understanding and accessing these valuable resources. PRO...

The Metabolic Pathwasy Database (MPW) (www.biobase.com/emphome.html/homepage. html.pags/pathways.html) a derivative of EMP (www.biobase.com/EMP) plays a fundamental role in the technology of metabolic reconstructions from sequenced genomes under the PUMA (www.mcs.anl.gov/home/compbio/PUMA/Production/ ReconstructedMetabolism/reconstruction.html), WIT (www.mcs.anl.gov/home/compbio/WIT/wit.html ) ...

Mining frequently occurring patterns or itemsets is a fundamental task in datamining. Many ad-hoc itemset mining algorithms have been proposed for enumerating frequent, maximal and closed itemsets. The datamining community has been particularly interested in finding itemsets that satisfy additional constraints, which is a challenging task for existing techniques. In this paper we present a nove...

This paper, following [4], presents an approach to grammar description and processing based on the geometry of cancellation diagrams, a concept which plays a central role in combinatorial group theory [6]. The focus here is on the geometric intuitions and on relating group-theoretical diagrams to the traditional charts associated with context-free grammars and type-0 rewriting systems. The pape...

This paper completes the classification of bifurcation diagrams for H-planforms in the Poincaré disc D whose fundamental domain is a regular octagon. An H-planform is a steady solution of a PDE or integro-differential equation in D, which is invariant under the action of a lattice subgroup Γ of U(1, 1), the group of isometries of D. In our case Γ generates a tiling of D with regular octagons. T...