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- Ilia Krasikov, Simon Litsyn
- J. Comb. Theory, Ser. A
- 1996

We derive new conditions for nonexistence of integral zeros of binary Kraw-tchouk polynomials. Upper bounds for the number of integral roots of Kraw-tchouk polynomials are presented.

- Noga Alon, Yair Caro, Ilia Krasikov, Yehuda Roditty
- J. Comb. Theory, Ser. B
- 1989

A general technique for tackling various reconstruction problems is presented and applied to some old and some new instances of such problems.

- Ilia Krasikov, S. D. Noble
- Inf. Process. Lett.
- 2004

We study the problem of finding the next-to-shortest paths in a graph. A next-to-shortest (u, v)-path is a shortest (u, v)-path amongst (u, v)-paths with length strictly greater than the length of the shortest (u, v)-path. In constrast to the situation in directed graphs, where the problem has been shown to be NP-hard, providing edges of length zero are… (More)

- Ilia Krasikov, Simon Litsyn
- Codes and Association Schemes
- 1999

- Ilia Krasikov
- Journal of Approximation Theory
- 2001

- Ilia Krasikov, Simon Litsyn
- IEEE Trans. Information Theory
- 2000

We derive a new upper bound on the minimum distance d of doubly-even self-dual codes of length n.

- I. KRASIKOV
- 2006

For ν > −1/2 and x real we shall establish explicit bounds for the Bessel function Jν (x) which are uniform in x and ν. This work and the recent result of L. J. Landau [7] provide relatively sharp inequalities for all real x.

- Author N. Alon, I. Krasikov, Y. Peres
- 2008

Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Each copy of any part of a JSTOR transmission must contain the same copyright notice that… (More)

- Ilia Krasikov, Yehuda Roditty
- J. Comb. Theory, Ser. B
- 1994

- Noga Alon, Yair Caro, Ilia Krasikov
- Discrete Mathematics
- 1993

A graph G is called bisectable if it is an edge-disjoint union of two isomorphic subgraphs. We show that any tree T with e edges contains a bisectable subgraph with at least e-O(e/log log e) edges. We also show that every forest of size e, each component of which is a star, contains a bisectable subgraph of size at least e-O(log2 e).