Ivan Gutman

Orcid: 0000-0001-9681-1550

Affiliations:
  • University of Kragujevac, Serbia


According to our database1, Ivan Gutman authored at least 123 papers between 1981 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

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Bibliography

2023
On (exponential) bond incident degree indices of graphs.
Discret. Appl. Math., September, 2023

Proofs to Some Open Problems on the Maximum Sombor Index of Graphs.
Comput. Appl. Math., September, 2023

2022
Hosoya index of VDB-weighted graphs.
Discret. Appl. Math., 2022

On Sombor index of trees.
Appl. Math. Comput., 2022

2021
Sombor index of chemical graphs.
Appl. Math. Comput., 2021

2020
Comparing eccentricity-based graph invariants.
Discuss. Math. Graph Theory, 2020

Cycle energy and its size dependence.
Discret. Appl. Math., 2020

Beyond the Zagreb indices.
AKCE Int. J. Graphs Comb., 2020

2019
Some new lower bounds for augmented Zagreb index.
J. Appl. Math. Comput., October, 2019

Linear and non-linear inequalities on the inverse sum indeg index.
Discret. Appl. Math., 2019

Graph irregularity and its measures.
Appl. Math. Comput., 2019

2018
Inverse problem on the Steiner Wiener index.
Discuss. Math. Graph Theory, 2018

Graphs with maximal σ irregularity.
Discret. Appl. Math., 2018

Relations between total irregularity and non-self-centrality of graphs.
Appl. Math. Comput., 2018

Stepwise irregular graphs.
Appl. Math. Comput., 2018

Randić index and information.
AKCE Int. J. Graphs Comb., 2018

2017
Computational prediction of therapeutic peptides based on graph index.
J. Biomed. Informatics, 2017

Nordhaus-Gaddum-type results for the Steiner Wiener index of graphs.
Discret. Appl. Math., 2017

Further results on the largest matching root of unicyclic graphs.
Discret. Appl. Math., 2017

Cacti with n-vertices and t cycles having extremal Wiener index.
Discret. Appl. Math., 2017

On the maximum ABC index of graphs without pendent vertices.
Appl. Math. Comput., 2017

Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory.
Appl. Math. Comput., 2017

On coindices of graphs and their complements.
Appl. Math. Comput., 2017

On spectral radius and energy of extended adjacency matrix of graphs.
Appl. Math. Comput., 2017

General sum-connectivity index, general product-connectivity index, general Zagreb index and coindices of line graph of subdivision graphs.
AKCE Int. J. Graphs Comb., 2017

2016
A kernel-based clustering method for gene selection with gene expression data.
J. Biomed. Informatics, 2016

The Steiner Wiener index of a graph.
Discuss. Math. Graph Theory, 2016

Graphs with maximum Laplacian and signless Laplacian Estrada index.
Discret. Math., 2016

On Wiener and multiplicative Wiener indices of graphs.
Discret. Appl. Math., 2016

Upper bounds for some graph energies.
Appl. Math. Comput., 2016

On ordering of complements of graphs with respect to matching numbers.
Appl. Math. Comput., 2016

On some degree-and-distance-based graph invariants of trees.
Appl. Math. Comput., 2016

On Steiner degree distance of trees.
Appl. Math. Comput., 2016

On energy and Laplacian energy of bipartite graphs.
Appl. Math. Comput., 2016

2015
Which tree has the smallest ABC index among trees with k leaves?
Discret. Appl. Math., 2015

The degree resistance distance of cacti.
Discret. Appl. Math., 2015

On extremal trees with respect to the $F$-index.
CoRR, 2015

On spectral radius and energy of complete multipartite graphs.
Ars Math. Contemp., 2015

Novel inequalities for generalized graph entropies - Graph energies and topological indices.
Appl. Math. Comput., 2015

On Laplacian energy in terms of graph invariants.
Appl. Math. Comput., 2015

Relations between distance-based and degree-based topological indices.
Appl. Math. Comput., 2015

2014
Wiener index of Eulerian graphs.
Discret. Appl. Math., 2014

On difference of Zagreb indices.
Discret. Appl. Math., 2014

Zagreb indices of transformation graphs and total transformation graphs.
Appl. Math. Comput., 2014

Degree-based topological indices: Optimal trees with given number of pendents.
Appl. Math. Comput., 2014

2013
On structure-sensitivity of degree-based topological indices.
Appl. Math. Comput., 2013

2012
The matching energy of a graph.
Discret. Appl. Math., 2012

On the Zagreb indices equality.
Discret. Appl. Math., 2012

Some properties of the Narumi-Katayama index.
Appl. Math. Lett., 2012

q-Wiener index of some compound trees.
Appl. Math. Comput., 2012

Computer search for trees with minimal ABC index.
Appl. Math. Comput., 2012

2011
First and second extremal bipartite graphs with respect to PI index.
Math. Comput. Model., 2011

On the first geometric-arithmetic index of graphs.
Discret. Appl. Math., 2011

2010
Lower bounds for Estrada index and Laplacian Estrada index.
Appl. Math. Lett., 2010

2009
The edge-Wiener index of a graph.
Discret. Math., 2009

On the degree distance of a graph.
Discret. Appl. Math., 2009

Estimating the Szeged index.
Appl. Math. Lett., 2009

2008
Electronic Structure Study of Thermal Intraconversions of Some Dicyclopenta-Fused Polycyclic Aromatic Compounds.
J. Chem. Inf. Model., 2008

Relations between Clar structures, Clar covers, and the sextet-rotation tree of a hexagonal system.
Discret. Appl. Math., 2008

2007
On the Cycle-Dependence of Topological Resonance Energy.
J. Chem. Inf. Model., 2007

2006
On the role of hypercubes in the resonance graphs of benzenoid graphs.
Discret. Math., 2006

A theorem on Wiener-type invariants for isometric subgraphs of hypercubes.
Appl. Math. Lett., 2006

2005
Variable Neighborhood Search for Extremal Graphs. 10. Comparison of Irregularity Indices for Chemical Trees.
J. Chem. Inf. Model., 2005

Spectra and energies of iterated line graphs of regular graphs.
Appl. Math. Lett., 2005

2004
Algebraic Kekulé Structures of Benzenoid Hydrocarbons.
J. Chem. Inf. Model., 2004

Chirality Codes and Molecular Structure.
J. Chem. Inf. Model., 2004

2003
QSPR/QSAR Studies by Molecular Descriptors By Mircea V. Diudea. Nova Science Publishers 2001, ISBN 1-5672-859-0.
J. Chem. Inf. Comput. Sci., 2003

Harmonic graphs with small number of cycles.
Discret. Math., 2003

Graphs with maximum connectivity index.
Comput. Biol. Chem., 2003

The number of walks in a grap.
Appl. Math. Lett., 2003

Asymptotic results regarding the number of walks in a graph.
Appl. Math. Lett., 2003

2002
No starlike trees are cospectral.
Discret. Math., 2002

2001
Modeling Boiling Points of Cycloalkanes by Means of Iterated Line Graph Sequences.
J. Chem. Inf. Comput. Sci., 2001

Quest for Molecular Graphs with Maximal Energy: A Computer Experiment.
J. Chem. Inf. Comput. Sci., 2001

On Walks in Molecular Graphs.
J. Chem. Inf. Comput. Sci., 2001

On the nullity of line graphs of trees.
Discret. Math., 2001

Binary Coding of Kekulé Structures of Catacondensed Benzenoid Hydrocarbons.
Comput. Chem., 2001

Matchings in starlike trees.
Appl. Math. Lett., 2001

2000
Relation between Distance-Based Topological Indices.
J. Chem. Inf. Comput. Sci., 2000

The Multiplicative Version of the Wiener Index.
J. Chem. Inf. Comput. Sci., 2000

Bounds for the Randi Connectivity Index.
J. Chem. Inf. Comput. Sci., 2000

An Algorithm for the Calculation of the Hyper-Wiener Index of Benzenoid Hydrocarbons.
Comput. Chem., 2000

1999
Spectral Moments of the Edge Adjacency Matrix in Molecular Graphs. Benzenoid Hydrocarbons.
J. Chem. Inf. Comput. Sci., 1999

Wiener-Number-Related Sequences.
J. Chem. Inf. Comput. Sci., 1999

The Average Wiener Index of Trees and Chemical Trees.
J. Chem. Inf. Comput. Sci., 1999

Variable Neighborhood Search for Extremal Graphs. 2. Finding Graphs with Extremal Energy.
J. Chem. Inf. Comput. Sci., 1999

The Average Wiener Index of Hexagonal Chains.
Comput. Chem., 1999

Variable Neighborhood Search for Extremal Graphs: IV: Chemical Trees with Extremal Connectivity Index.
Comput. Chem., 1999

1998
A Collective Property of Trees and Chemical Trees.
J. Chem. Inf. Comput. Sci., 1998

An Algorithm for Counting Spanning Trees in Labeled Molecular Graphs Homeomorphic to Cata-Condensed Systems.
J. Chem. Inf. Comput. Sci., 1998

Extension of Edge Connectivity Index. Relationships to Line Graph Indices and QSPR Applications.
J. Chem. Inf. Comput. Sci., 1998

Algebraic Connections between Topological Indices.
J. Chem. Inf. Comput. Sci., 1998

1997
Extension of the Z Matrix to Cycle-Containing and Edge-Weighted Molecular Graphs.
J. Chem. Inf. Comput. Sci., 1997

Wiener Numbers of Phenylenes: An Exact Result.
J. Chem. Inf. Comput. Sci., 1997

Trees with Extremal Hyper-Wiener Index: Mathematical Basis and Chemical Applications.
J. Chem. Inf. Comput. Sci., 1997

Bounds for the Schultz Molecular Topological Index of Benzenoid Systems in Terms of the Wiener Index.
J. Chem. Inf. Comput. Sci., 1997

Detour-Cluj Matrix and Derived Invariants.
J. Chem. Inf. Comput. Sci., 1997

Wiener Number of Vertex-weighted Graphs and a Chemical Application.
Discret. Appl. Math., 1997

1996
A New Recursion Relation for the Characteristic Polynomial of a Molecular Graph.
J. Chem. Inf. Comput. Sci., 1996

On the Relation between the Path Numbers 1Z, 2Z and the Hosoya Z Index.
J. Chem. Inf. Comput. Sci., 1996

A Comparison of the Schultz Molecular Topological Index with the Wiener Index.
J. Chem. Inf. Comput. Sci., 1996

The Quasi-Wiener and the Kirchhoff Indices Coincide.
J. Chem. Inf. Comput. Sci., 1996

Topological Indices Based on the Line Graph of the Molecular Graph.
J. Chem. Inf. Comput. Sci., 1996

A Topological Index Based on Distances of Edges of Molecular Graphs.
J. Chem. Inf. Comput. Sci., 1996

On Matula numbers.
Discret. Math., 1996

Graph Transformations Which Preserve the Multiplicity of an Eigenvalue.
Discret. Appl. Math., 1996

1995
On the Definition of the Hyper-Wiener Index for Cycle-Containing Structures.
J. Chem. Inf. Comput. Sci., 1995

Labeling of Benzenoid Systems which Reflects the Vertex-Distance Relations.
J. Chem. Inf. Comput. Sci., 1995

The Szeged Index and an Analogy with the Wiener Index.
J. Chem. Inf. Comput. Sci., 1995

An Algorithm for the Calculation of the Szeged Index of Benzenoid Hydrocarbons.
J. Chem. Inf. Comput. Sci., 1995

Complementing the proof of the limit of relative atomic moments.
J. Chem. Inf. Comput. Sci., 1995

A Unified Approach to the First Derivatives of Graph Polynomials.
Discret. Appl. Math., 1995

1994
Spectral Moments of Polyacenes.
J. Chem. Inf. Comput. Sci., 1994

Selected properties of the Schultz molecular topological index.
J. Chem. Inf. Comput. Sci., 1994

Frequency of even and odd numbers in distance matrixes of bipartite graphs.
J. Chem. Inf. Comput. Sci., 1994

Further Properties Derivable from the Matula Number of an Alkane.
J. Chem. Inf. Comput. Sci., 1994

On the sum of all distances in composite graphs.
Discret. Math., 1994

Graphs with small numbers of independent edges.
Discret. Math., 1994

1990
New theorem for the wiener molecular branching index of trees with perfect matchings.
Comput. Chem., 1990

1988
Spectral properties of some structurally related graphs.
Discret. Appl. Math., 1988

1986
On the ordering of graphs with respect to their matching numbers.
Discret. Appl. Math., 1986

Graphs and Graph Polynomials of interest in Chemistry.
Proceedings of the Graphtheoretic Concepts in Computer Science, International Workshop, 1986

1981
On the theory of the matching polynomial.
J. Graph Theory, 1981


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