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- Tomasz Łuczak

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
36
Citations
8,119
167
World Ranking
1750
National Ranking
6

Computer Science
D-index
36
Citations
8,060
156
World Ranking
7059
National Ranking
12

2016 - Polish Academy of Science

- Combinatorics
- Discrete mathematics
- Quantum mechanics

Tomasz Łuczak mainly investigates Combinatorics, Discrete mathematics, Random graph, Graph and Random regular graph. His biological study spans a wide range of topics, including Phase transition and Bounded function. Tomasz Łuczak interconnects Series and Component in the investigation of issues within Discrete mathematics.

His Random graph research is multidisciplinary, incorporating elements of Cograph, Split graph and Existential quantification. His Graph study combines topics in areas such as Chromatic scale, Log-log plot and Phase diagram. His Random regular graph study incorporates themes from Indifference graph, Cubic graph and Multigraph.

- Random Graphs: Janson/Random (1007 citations)
- Wiley‐Interscience Series in Discrete Mathematics and Optimization (734 citations)
- The birth of the giant component (352 citations)

His primary scientific interests are in Combinatorics, Discrete mathematics, Random graph, Graph and Random regular graph. His study in Ramsey's theorem, Chordal graph, Conjecture, Hypergraph and Indifference graph is done as part of Combinatorics. His research on Discrete mathematics often connects related topics like Degree.

His study in the fields of Giant component under the domain of Random graph overlaps with other disciplines such as First order. The various areas that he examines in his Graph study include Almost surely, Phase transition and Hitting time. His research investigates the connection with Graph power and areas like Cubic graph which intersect with concerns in Complement graph.

- Combinatorics (85.55%)
- Discrete mathematics (61.85%)
- Random graph (23.12%)

- Combinatorics (85.55%)
- Discrete mathematics (61.85%)
- Graph (22.54%)

Tomasz Łuczak focuses on Combinatorics, Discrete mathematics, Graph, Ramsey's theorem and Random graph. The concepts of his Combinatorics study are interwoven with issues in Group and Random group. His Discrete mathematics and Random regular graph, Simplicial homology, Pathwidth, Path graph and Indifference graph investigations all form part of his Discrete mathematics research activities.

He usually deals with Graph and limits it to topics linked to Kronecker delta and Bounded function. His Ramsey's theorem research focuses on Path and how it connects with Absolute constant and Existential quantification. His research in Random graph tackles topics such as Monotone polygon which are related to areas like Longest cycle.

- Limit measures of inhomogeneous discrete-time quantum walks in one dimension (57 citations)
- Collapsibility and Vanishing of Top Homology in Random Simplicial Complexes (55 citations)
- On Erdős' extremal problem on matchings in hypergraphs (38 citations)

- Combinatorics
- Quantum mechanics
- Discrete mathematics

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Ramsey's theorem, Homology and Complete graph. His Random graph, Vertex and Extremal graph theory study in the realm of Combinatorics interacts with subjects such as Adjacency relation. The study incorporates disciplines such as Spectral gap and Random group in addition to Random graph.

His Discrete mathematics study frequently draws connections between related disciplines such as Group. His studies deal with areas such as Hypergraph, Multipartite, Path, Path and Constant as well as Ramsey's theorem. His study in Complete graph is interdisciplinary in nature, drawing from both Monotone polygon, Graph property, Probabilistic logic, Absolute constant and Connected component.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Random Graphs: Janson/Random

Svante Janson;Tomasz Łuczak;Andrzej Rucinski.

**(2000)**

1698 Citations

Random Graphs: Janson/Random

Svante Janson;Tomasz Łuczak;Andrzej Rucinski.

**(2000)**

1698 Citations

Wiley‐Interscience Series in Discrete Mathematics and Optimization

Svante Janson;Tomasz Łuczak;Andrzej Rucinski.

**(2011)**

1158 Citations

Wiley‐Interscience Series in Discrete Mathematics and Optimization

Svante Janson;Tomasz Łuczak;Andrzej Rucinski.

**(2011)**

1158 Citations

The birth of the giant component

Svante Janson;Donald E. Knuth;Tomasz Łuczak;Boris Pittel.

Random Structures and Algorithms **(1993)**

495 Citations

The birth of the giant component

Svante Janson;Donald E. Knuth;Tomasz Łuczak;Boris Pittel.

Random Structures and Algorithms **(1993)**

495 Citations

Edge weights and vertex colours

Michał Karoński;Tomasz Łuczak;Andrew Thomason.

Journal of Combinatorial Theory, Series B **(2004)**

386 Citations

Edge weights and vertex colours

Michał Karoński;Tomasz Łuczak;Andrew Thomason.

Journal of Combinatorial Theory, Series B **(2004)**

386 Citations

Component behavior near the critical point of the random graph process

Tomasz Łuczak.

Random Structures and Algorithms **(1990)**

277 Citations

Component behavior near the critical point of the random graph process

Tomasz Łuczak.

Random Structures and Algorithms **(1990)**

277 Citations

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