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- David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
- APPROX-RANDOM
- 2004

Let G(n, c/n) and G r (n) be an n-node sparse random graph and a sparse random r-regular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest independent set in G(n, c/n) and G r (n). The asymptotic value of I(n, c)/n as n → ∞, can be computed using the Karp-Sipser algorithm when c ≤ e. For random cubic graphs, r = 3, it is only… (More)

In this paper we shall show that there exists a polynomial unimodal map f: 0; 1] ! 0; 1] with so-called Fibonacci dynamics which is non-renormalizable and in particular, for each x from a residual set, !(x) is equal to an interval; (here !(x) is deened to be the set of accumulation points of the sequence x; f(x); f 2 (x); : : :); for which the closure of… (More)

- Tomasz Nowicki, Mark S. Squillante, Chai Wah Wu
- Self-star Properties in Complex Information…
- 2005

- Don Coppersmith, Tomasz Nowicki, Giuseppe Paleologo, Charles Philippe Tresser, Chai Wah Wu
- ACM Trans. Algorithms
- 2011

We study several classes of related scheduling problems including the carpool problem, its generalization to arbitrary inputs and the chairman assignment problem. We derive both lower and upper bounds for online algorithms solving these problems. We show that the greedy algorithm is optimal among online algorithms for the chairman assignment problem and the… (More)

A sufficient geometrical condition for the existence of absolutely continuous invariant probability measures for S−unimodal maps will be discussed. The Lebesgue typical existence of such measures in the quadratic family will be a consequence.

In this paper we study the relationship between valid inequalities for mixed-integer sets, lattice-free sets associated with these inequalities and structured disjunctive cuts, especially the-branch split cuts introduced by Li and Richard (2008). By analyzing-dimensional lattice-free sets, we prove that every facet-defining inequality of the convex hull of… (More)

- Edyta Szurowska, Katarzyna Sikorska, +4 authors Michał Studniarek
- BMC gastroenterology
- 2010

BACKGROUND
There are many pathological conditions with hepatic iron overload. Classical definite diagnostic methods of these disorders are invasive and based on a direct tissue biopsy material. For the last years the role of MR imaging in liver diagnostics has been increasing. MRI shows changes of liver intensity in patients with hepatic iron overload.… (More)

- Marco Martens, Tomasz Nowicki
- IBM Journal of Research and Development
- 2003

- Sanjeeb Dash, Neil B. Dobbs, Oktay Günlük, Tomasz Nowicki, Grzegorz Swirszcz
- Math. Program.
- 2014

In this paper we study the relationship between valid inequalities for mixed-integer sets, lattice-free sets associated with these inequalities and the multi-branch split cuts introduced by Li and Richard (2008). By analyzing-dimensional lattice-free sets, we prove that for every integer there exists a positive integer such that every facet-defining… (More)

- Edyta Szurowska, Tomasz Nowicki, +5 authors Michal Studniarek
- BMC gastroenterology
- 2011

BACKGROUND
Cavernous hemangiomas are the most frequent neoplasms of the liver and in routine clinical practice they often need to be differentiated from malignant tumors and other benign focal lesions. The purpose of this study is to evaluate whether diagnostic accuracy of magnetic resonance imaging (MRI) of hepatic hemangiomas, showing atypical pattern on… (More)