Near linear-work
parallel SDD
solvers,
low-diameter
decomposition and low-stretch subgraphs
[PDF]
(with Guy
Blelloch, Anupam Gupta, Gary Miller, Richard Peng, Kanat Tangwongsan) SPAA
2011
Spectral counting of triangles in power-law
networks via element-wise sparsification and
triangle-based link recommendation [PDF] (with Charalambos Tsourakakis, Petros Drineas,
Eirinaios Michelakis, Christos Faloutsos) Social Network
Analysis and Mining ASONAM 2009Conference Version: [PDF]
Approaching optimality for solving SDD systems
[arxiv]
(with Gary Miller, Richard Peng) FOCS 2010
Hierarchical Diagonal Blocking with precision reduction applied to combinatorial multigrid [PDF]
(with Guy E. Blelloch, Gary Miller, Kanat Tangwongsan) SC10
Limits and applications of group algebras
for parameterized problems [PDF] (with Ryan Williams) ICALP 2009
Faster algebraic algorithms for path and
packing problems [PDF] ICALP 2008
Graph partitioning into isolated, high conductance clusters:
theory, computation and
applications to preconditioning [PDF] (with Gary Miller) SPAA 2008
Unassisted Segmentation of Multiple Retinal
Layers via Spectral Rounding [PDF]
(with David Tolliver, Hiroshi Ishikawa, Joel Shuman, Gary Miller) ARVO 2008
Combinatorial and algebraic tools for optimal
multilevel algorithms [PDF] PhD Thesis, CMU-CS-07-131
A linear work O(n1/6) time algorithm for solving planar Laplacians
[PDF] (with Gary Miller) SODA
2007
Dimensionality restrictions on sums over Zpd
[PDF] Technical Report CMU-CS-07-103
These results were published
in a shlightly stronger form in: ''On the number of subsequences
with given sum of sequences over finite Abelian $p$-groups'', by
Weidong Gao and Alfred Geroldinger , Rocky Mountain J. Mathematics,
2007 [pdf]
This
informal publication discusses the computation of matrix eigenvalues via a
descent-through-pseudospectra approach. It represents joint work with E.
Gallopoulos, which was presented at FOCM 1999, and at the 5th IMACS
conference on iterative methods (
abstract )
Exclusion regions and fast estimation of
pseudospectra [pdf]
This work
was presented in an invited talk at the 2003 SIAM annual
meeting