Niraj Khare

Niraj Khare

Assistant Teaching Professor, Mathematics

Niraj Khare is an assistant teaching professor of mathematics with expertise in combinatorics, in particular extremal graph, extremal hypergraph theory and enumerative combinatorics.

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Area Of Expertise

Combinatorics, in particular extremal graph, extremal hypergraph theory and enumerative combinatorics.

Education

Ph.D., Discrete MathematicsOhio State University, Columbus, OH

B.Sc. HonorsMathematics, Indian Institute of Technology, Kharagpur, India

Publications

Selected Publications

Graphs with restricted valency and matching number, Discrete Mathematics, 309(2009), 4176-4180 (with Niranjan Balachandran) doi:10.1016/j.disc.2008.10.007

On the size of a 3-uniform linear hypergraph, Discrete Mathematics, 334 (2014), 26-37 (http://www.journals.elsevier.com/discrete-mathematics/)

Generalization of Erdos-Gallai edge bound, European journal of Combinatorics, 43 (2015) 124-130 (with N. Mehta and N. Puliyambalath) (http://www.journals.elsevier.com/european-journal-of-combinatorics/).

Bivariate Goncarov Polynomials and Integer Sequences, Science China Mathematics, 57 (2014), 1561-1578 (with Rudolf Lorentz and Catherine Yan) http://link.springer.com/article/10.1007%2Fs11425-014-4827-x

Moments of Matching Statistics” To appear in Journal of Combinatorics (with Rudolf Lorentz and Catherine Yan) (http://www.math.tamu.edu/~cyan/Files/Matching-Final.pdf)

 

Research Description

The broad field of Khare's research is combinatorics, in particular extremal set theory, graph theory, hypergraph theory and enumerative combinatorics. Application of graph theory and hypergraph theory in developing algorithms based on new research involving constructional proofs over existential ones also interests Khare, as well as application of combinatorics to business, biology and physics. His work can be partitioned into two areas: work on graphs and hypergraphs, and work on enumerative combinatorics.