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The exhaustive list of topics in Theoretical Computer Science in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Spectral Graph Theory
  • Linear algebra
  • Adjacency and Laplacian matrices
  • Positive semidefinite matricies
  • Graphs
  • Courant-Fischer and Rayleigh quotients
  • Graph cutting
  • Cheerer’s Inequality
  • (Lazy) random walks
  • Stationary distribution and l2-convergence
  • Normalized Laplacian
  • Conductance
  • Monte Carlo methods
  • Diameters and eigenvalues
  • Expander graphs
  • Nonblocking routing networks
  • Local and -linear time clustering and partitioning
  • Lovasz-Simonovits Theorem
  • Sparsification
  • Matrix pseudoinverses and tail bounds
  • Convex Geometry
  • Hyperplanes
  • Norms and convex bodies
  • Banach-Mazur distance
  • Fritz John's theorem
  • Isoperimetric inequality
  • Johnson-Lindenstrauss theorem
  • Dvoretsky's theorem
  • Lattices and Basis Reduction
  • Lattices
  • Parallelepiped and dual of a lattice
  • Shortest vectors
  • Blichfield's theorem
  • Minkowski's theorem
  • Shortest/closest vector
  • LLL algorithm
  • Integer programming
  • Linear Algebra
  • Steepest descent
  • Ultra-sparsifiers
  • Multiplicative Weights
  • Zero-sum games
  • Boosting