Bala Krishnamoorthy

Optimal Homologous Cycles, Total Unimodularity, and Linear Programming

Given a simplicial complex with weights on its simplices, and a nontrivial cycle on it, we are interested in finding the cycle with minimal weight which is homologous to the given one. Assuming that the homology is defined with integer (

Four-Body Scoring Function for Mutagenesis

\mathbb{Z}

Optimal homologous cycles, total unimodularity, and linear programming

) coefficients, we show the following (Theorem 5.2): For a finite simplicial complex

Neck muscle paths and moment arms are significantly affected by wrapping surface parameters.

K

A Topological Characterization of Protein Structure

of dimension greater than

Simplicial flat norm with scale

p

Neighborhood Properties Are Important Determinants of Temperature Sensitive Mutations

, the boundary matrix

Scoring function to predict solubility mutagenesis

[\partial_{p+1}]

Bounds on the size of branch-and-bound proofs for integer knapsacks

is totally unimodular if and only if

Propeptides of eukaryotic proteases encode histidines to exploit organelle pH for regulation

H_p(L, L_0)