H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 86 Citations 30,103 620 World Ranking 45 National Ranking 1
Engineering and Technology H-index 80 Citations 27,383 546 World Ranking 129 National Ranking 1

Research.com Recognitions

Awards & Achievements

2012 - Member of Academia Europaea

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Quantum mechanics
  • Algebra

Ivan Gutman focuses on Combinatorics, Discrete mathematics, Graph, Topological index and Molecular graph. As part of the same scientific family, Ivan Gutman usually focuses on Combinatorics, concentrating on Eigenvalues and eigenvectors and intersecting with Graph theory. His work investigates the relationship between Discrete mathematics and topics such as Degree that intersect with problems in Structure.

The study incorporates disciplines such as Neighbourhood and Topology in addition to Topological index. His Molecular graph research includes themes of Molecule, Chemical graph theory and Hosoya index. His studies in Chemical graph theory integrate themes in fields like Conjugated system and Molecular orbital.

His most cited work include:

  • Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons (1033 citations)
  • Mathematical concepts in organic chemistry (892 citations)
  • Wiener Index of Trees: Theory and Applications (833 citations)

What are the main themes of his work throughout his whole career to date?

Ivan Gutman spends much of his time researching Combinatorics, Discrete mathematics, Computational chemistry, Graph and Molecule. His research investigates the connection with Combinatorics and areas like Eigenvalues and eigenvectors which intersect with concerns in Laplace operator. His study in Line graph, Graph power, Graph energy, Distance-regular graph and Connectivity are all subfields of Discrete mathematics.

Ivan Gutman combines subjects such as Conjugated system, Electron energy and Hydrocarbon with his study of Computational chemistry. Conjugated system and Ring are frequently intertwined in his study. His studies deal with areas such as Electron and Stereochemistry as well as Molecule.

He most often published in these fields:

  • Combinatorics (51.79%)
  • Discrete mathematics (27.79%)
  • Computational chemistry (16.04%)

What were the highlights of his more recent work (between 2011-2021)?

  • Combinatorics (51.79%)
  • Discrete mathematics (27.79%)
  • Graph (16.04%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Combinatorics, Discrete mathematics, Graph, Topological index and Degree. Ivan Gutman works mostly in the field of Combinatorics, limiting it down to concerns involving Eigenvalues and eigenvectors and, occasionally, Matrix. He usually deals with Graph and limits it to topics linked to Laplace operator and Invariant.

His research in Topological index intersects with topics in Structure, Topology and Molecular graph. His Vertex study incorporates themes from Neighbourhood and Bound graph. Ivan Gutman interconnects Strongly regular graph and Energy in the investigation of issues within Graph energy.

Between 2011 and 2021, his most popular works were:

  • Degree-Based Topological Indices (278 citations)
  • A forgotten topological index (221 citations)
  • A forgotten topological index (221 citations)

In his most recent research, the most cited papers focused on:

  • Combinatorics
  • Quantum mechanics
  • Algebra

His primary areas of investigation include Combinatorics, Discrete mathematics, Graph, Topological index and Vertex. His study involves Wiener index, Bound graph, Graph energy, Connectivity and Vertex, a branch of Combinatorics. His studies link Degree with Discrete mathematics.

His Graph research includes elements of Multiplicative function, Algebra and Laplace operator. His Topological index research is multidisciplinary, relying on both Structure, Topology and Molecular graph. His Vertex research is multidisciplinary, incorporating perspectives in Neighbourhood, Eigenvalues and eigenvectors, Explained sum of squares and Simple graph.

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.

Top Publications

Mathematical concepts in organic chemistry

Ivan Gutman;Oskar E. Polansky.
(1986)

1372 Citations

Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons

I. Gutman;N. Trinajstić.
Chemical Physics Letters (1972)

1325 Citations

Wiener Index of Trees: Theory and Applications

Andrey A. Dobrynin;Roger Entringer;Ivan Gutman.
Acta Applicandae Mathematicae (2001)

1219 Citations

Graph theory and molecular orbitals. XII. Acyclic polyenes

I. Gutman;B. Ru ić;N. Trinajstić;C. F. Wilcox.
Journal of Chemical Physics (1975)

749 Citations

Introduction to the theory of benzenoid hydrocarbons

Ivan Gutman;Sven Josef Cyvin.
(1989)

729 Citations

The Energy of a Graph: Old and New Results

Ivan Gutman.
(2001)

665 Citations

Graph theory and molecular orbitals. 19. Nonparametric resonance energies of arbitrary conjugated systems

Ivan Gutman;Milorad Milun;Nenad Trinajstic.
Journal of the American Chemical Society (1977)

614 Citations

Topological Approach to the Chemistry of Conjugated Molecules

Ante Graovac;Ivan Gutman;Nenad Trinajstić.
(1977)

510 Citations

Wiener Index of Hexagonal Systems

Andrey A. Dobrynin;Ivan Gutman;Sandi Klavžar;Petra Žigert.
Acta Applicandae Mathematicae (2002)

506 Citations

Recent Results in the Theory of Graph Spectra

Dragoš M. Cvetković;Michael Doob;Ivan Gutman;Aleksandar Torgašev.
(2012)

426 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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