1. Graph Theory & Graph Algorithms

• Research in Graph Drawing, including:
  • Planar and geometric graph drawing
  • Graph visualization and layout algorithms
  • Structural properties of graph representations
• Graph Enumeration:
  • Enumeration of graphs and graph structures
  • Counting problems and combinatorial generation
  • Structural characterization of graph families

2. Algorithms & Computational Complexity

• Design and analysis of algorithms for combinatorial and graph problems.
• Research in:
  • Approximation algorithms
  • Parameterized algorithms
  • Graph algorithms and optimization
  • Computational complexity and tractability
• Study of algorithmic techniques for solving computationally hard problems.

3. Algorithmic Bioinformatics

• Application of graph-theoretic and algorithmic techniques to problems in bioinformatics.
• Research involving:
  • Combinatorial algorithms for biological data
  • Graph-based modeling of biological systems
  • Optimization and enumeration problems in computational biology
• Development of theoretically grounded algorithms for biological and genomic data analysis.