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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > PRASAD CHAUGULE:
All reports by Author Prasad Chaugule:

TR19-172 | 28th November 2019
Prasad Chaugule, Mrinal Kumar, Nutan Limaye, Chandra Kanta Mohapatra, Adrian She, Srikanth Srinivasan

Schur Polynomials do not have small formulas if the Determinant doesn't!

Schur Polynomials are families of symmetric polynomials that have been
classically studied in Combinatorics and Algebra alike. They play a central
role in the study of Symmetric functions, in Representation theory [Sta99], in
Schubert calculus [LM10] as well as in Enumerative combinatorics [Gas96, Sta84,
Sta99]. In recent years, they have ... more >>>


TR18-135 | 31st July 2018
Prasad Chaugule, Nutan Limaye, Aditya Varre

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Revisions: 1

We present polynomial families complete for the well-studied algebraic complexity classes VF, VBP, VP, and VNP. The polynomial families are based on the homomorphism polynomials studied in the recent works of Durand et al. (2014) and Mahajan et al. (2016). We consider three different variants of graph homomorphisms, namely injective ... more >>>




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