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- Sukumar Das Adhikari, Yong-Gao Chen
- J. Comb. Theory, Ser. A
- 2008

Let n âˆˆ N and let A âŠ† Z/nZ be such that A does not contain 0 and it is nonâ€“empty. Generalizing a well known constant, EA(n) is defined to be the least t âˆˆ N such that for all sequences (x1, . . . ,â€¦ (More)

- Sukumar Das Adhikari, Yong-Gao Chen, John B. Friedlander, Sergei Konyagin, Francesco Pappalardi
- Discrete Mathematics
- 2006

A prototype of zeroâ€“sum theorems, the wellâ€“known theorem of ErdÅ‘s, Ginzburg and Ziv says that for any positive integer n, any sequence a1, a2, Â· Â· Â· , a2nâˆ’1 of 2n âˆ’ 1 integers has a subsequence of nâ€¦ (More)

- Sukumar Das Adhikari, Yong-Gao Chen
- Discrete Mathematics
- 2002

For a finite abelian group G and a finite subset A âŠ† Z, the Davenport constant of G with weight A, denoted by DA(G), is defined to be the smallest positive integer k such that for any sequence (x1, .â€¦ (More)

In this expository article, we discuss about an extremal problem in lattice point combinatorics which is related to several important combinatorial questions and is of similar nature to a problemâ€¦ (More)

Let G be a finite additive abelian group with exponent exp(G) = n > 1 and let A be a nonempty subset of {1,. .. , n âˆ’ 1}. In this paper, we investigate the smallest positive integer m, denoted byâ€¦ (More)

- Sukumar Das Adhikari, Yong-Gao Chen
- Discrete Mathematics
- 2014

Answering a question of Gurevich, Graham proved that, given any Î´ > 0, for any finite coloring of the plane, there is a triangle of area Î´ having all of its three vertices of the same color.â€¦ (More)

We extend results of [1, 2, 3] on the visibility problem for lattice points in Zd to the case of function fields over finite fields which are related to important questions regarding theâ€¦ (More)

We find the size of the smallest subset of the set of integer lattice points, such that every element of a given rectangular grid is visible from our subset, which in particular answers a question ofâ€¦ (More)

- Gandhi Kumar Kar, Bidhan Ch Roy, Sukumar Das Adhikari, Jayanta Kumar Ray, N K Brahma
- Bioorganic & medicinal chemistry
- 1998

Synthesis and antibacterial activity of some novel monocyclic thienyl gamma lactams are reported. The compounds have been synthesized by a two-step process consisting of, first, intermolecularâ€¦ (More)

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