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- Carsten Thomassen

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

Computer Science
D-index
61
Citations
11,614
213
World Ranking
1458
National Ranking
6

Mathematics
D-index
62
Citations
11,785
222
World Ranking
225
National Ranking
2

- Combinatorics
- Graph theory
- Graph coloring

Carsten Thomassen mainly investigates Combinatorics, Discrete mathematics, Planar graph, Forbidden graph characterization and Graph minor. Combinatorics is represented through his Universal graph, Cubic graph, Outerplanar graph, Graph power and Conjecture research. Carsten Thomassen interconnects Petersen graph and Edge coloring in the investigation of issues within Cubic graph.

His is involved in several facets of Discrete mathematics study, as is seen by his studies on Pancyclic graph, Voltage graph, Natural number, Kuratowski's theorem and Chordal graph. In his work, Polyhedral graph is strongly intertwined with Steinitz's theorem, which is a subfield of Kuratowski's theorem. His work investigates the relationship between Planar graph and topics such as Robertson–Seymour theorem that intersect with problems in Fáry's theorem and Nowhere-zero flow.

- Graphs on Surfaces (928 citations)
- Every Planar Graph Is 5-Choosable (419 citations)
- The graph genus problem is NP-complete (219 citations)

Carsten Thomassen spends much of his time researching Combinatorics, Discrete mathematics, Graph, Planar graph and Conjecture. Cubic graph, Forbidden graph characterization, Hamiltonian path, Complement graph and Pancyclic graph are the core of his Combinatorics study. Line graph, Graph power, Outerplanar graph, Graph minor and Chordal graph are among the areas of Discrete mathematics where the researcher is concentrating his efforts.

His research integrates issues of Chromatic scale and Existential quantification in his study of Graph. His Planar graph study integrates concerns from other disciplines, such as Butterfly graph, Planar straight-line graph and Polyhedral graph. His studies in Conjecture integrate themes in fields like Digraph, Natural number and Counterexample.

- Combinatorics (97.50%)
- Discrete mathematics (71.25%)
- Graph (17.08%)

- Combinatorics (97.50%)
- Planar graph (16.67%)
- Discrete mathematics (71.25%)

Carsten Thomassen focuses on Combinatorics, Planar graph, Discrete mathematics, Graph and Planar. His work in Conjecture, Bipartite graph, Vertex, Hamiltonian path and Chromatic polynomial is related to Combinatorics. His study in Planar graph is interdisciplinary in nature, drawing from both Group, Forbidden graph characterization, Exponential growth, Planar straight-line graph and Abelian group.

His study focuses on the intersection of Forbidden graph characterization and fields such as Graph minor with connections in the field of Cubic graph. His study in Neighbourhood, Trémaux tree, Pathwidth, 1-planar graph and Outerplanar graph are all subfields of Discrete mathematics. His Graph study combines topics from a wide range of disciplines, such as Golden ratio, Natural number, Chromatic scale, Upper and lower bounds and If and only if.

- Decomposing graphs into a constant number of locally irregular subgraphs (19 citations)
- The 3-flow conjecture, factors modulo k, and the 1-2-3-conjecture (19 citations)
- The square of a planar cubic graph is 7-colorable (16 citations)

- Combinatorics
- Graph theory
- Topology

His primary areas of study are Combinatorics, Conjecture, Discrete mathematics, Graph and Natural number. His study in Planar graph, Modulo and Bipartite graph is done as part of Combinatorics. His Planar graph research includes elements of Planar straight-line graph, Chromatic polynomial, Group and Edge.

All of his Discrete mathematics and Hamiltonian path, Pancyclic graph and Trémaux tree investigations are sub-components of the entire Discrete mathematics study. His work carried out in the field of Pancyclic graph brings together such families of science as Indifference graph, Independent set and Graph toughness. His Natural number research incorporates themes from Neighbourhood, Connectivity, Strongly connected component and NP-complete.

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.

Graphs on Surfaces

Bojan Mohar;Carsten Thomassen.

**(2001)**

1475 Citations

Every Planar Graph Is 5-Choosable

C. Thomassen.

Journal of Combinatorial Theory, Series B **(1994)**

563 Citations

The graph genus problem is NP-complete

C. Thomassen.

Journal of Algorithms **(1989)**

315 Citations

Planarity and Duality of Finite and Infinite Graphs

Carsten Thomassen.

Journal of Combinatorial Theory, Series B **(1980)**

262 Citations

2-Linked Graphs

Carsten Thomassen.

European Journal of Combinatorics **(1980)**

257 Citations

Cycles in digraphs– a survey

Jean-Claude Bermond;Carsten Thomassen.

Journal of Graph Theory **(1981)**

231 Citations

A theorem on paths in planar graphs

Carsten Thomassen.

Journal of Graph Theory **(1983)**

202 Citations

3-list-coloring planar graphs of girth 5

Carsten Thomassen.

Journal of Combinatorial Theory, Series B **(1995)**

195 Citations

Reflections on graph theory

Carsten Thomassen.

Journal of Graph Theory **(1986)**

191 Citations

Highly Connected Sets and the Excluded Grid Theorem

Reinhard Diestel;Tommy R. Jensen;Konstantin Yu. Gorbunov;Carsten Thomassen.

Journal of Combinatorial Theory, Series B **(1999)**

186 Citations

Journal of Graph Theory

(Impact Factor: 0.921)

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