On the theory of the matching polynomial. - Chris D. Godsil; Ivan Gutman (J. Graph Theory, 1981)

Graphs and Graph Polynomials of interest in Chemistry. - Ivan Gutman (WG, 1986)

On the ordering of graphs with respect to their matching numbers. - Ivan Gutman; Fuji Zhang (Discret. Appl. Math., 1986)

Spectral properties of some structurally related graphs. - Ivan Gutman; Ante Graovac; Oskar E. Polansky (Discret. Appl. Math., 1988)

New theorem for the wiener molecular branching index of trees with perfect matchings. - Ivan Gutman; D. H. Rouvray (Comput. Chem., 1990)

Graphs with small numbers of independent edges. - Miroslav Petrovic; Ivan Gutman; Mirko Lepovic (Discret. Math., 1994)

On the sum of all distances in composite graphs. - Yeong-Nan Yeh; Ivan Gutman (Discret. Math., 1994)

Further Properties Derivable from the Matula Number of an Alkane. - Seymour B. Elk; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1994)

Frequency of even and odd numbers in distance matrixes of bipartite graphs. - Ivan Gutman (J. Chem. Inf. Comput. Sci., 1994)

Selected properties of the Schultz molecular topological index. - Ivan Gutman (J. Chem. Inf. Comput. Sci., 1994)

Spectral Moments of Polyacenes. - Padmakar V. Khadikar; Narayan V. Deshpande; Prabhakar P. Kale; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1994)

A Unified Approach to the First Derivatives of Graph Polynomials. - Xueliang Li 001; Ivan Gutman (Discret. Appl. Math., 1995)

Complementing the proof of the limit of relative atomic moments. - Ivan Gutman; Danail Bonchev; William A. Seitz; Ekaterina Gordeeva (J. Chem. Inf. Comput. Sci., 1995)

An Algorithm for the Calculation of the Szeged Index of Benzenoid Hydrocarbons. - Ivan Gutman; Sandi Klavzar (J. Chem. Inf. Comput. Sci., 1995)

The Szeged Index and an Analogy with the Wiener Index. - Padmakar V. Khadikar; Narayan V. Deshpande; Prabhakar P. Kale; Andrey A. Dobrynin; Ivan Gutman; Gyula Dömötör (J. Chem. Inf. Comput. Sci., 1995)

Labeling of Benzenoid Systems which Reflects the Vertex-Distance Relations. - Sandi Klavzar; Ivan Gutman; Bojan Mohar (J. Chem. Inf. Comput. Sci., 1995)

On the Definition of the Hyper-Wiener Index for Cycle-Containing Structures. - Douglas J. Klein; István Lukovits; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1995)

Graph Transformations Which Preserve the Multiplicity of an Eigenvalue. - Yeong-Nan Yeh; Ivan Gutman; Chin-Mei Fu (Discret. Appl. Math., 1996)

On Matula numbers. - Ivan Gutman; Aleksandar Ivic (Discret. Math., 1996)

A Topological Index Based on Distances of Edges of Molecular Graphs. - Ernesto Estrada; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1996)

Topological Indices Based on the Line Graph of the Molecular Graph. - Ivan Gutman; Ernesto Estrada (J. Chem. Inf. Comput. Sci., 1996)

The Quasi-Wiener and the Kirchhoff Indices Coincide. - Ivan Gutman; Bojan Mohar (J. Chem. Inf. Comput. Sci., 1996)

A Comparison of the Schultz Molecular Topological Index with the Wiener Index. - Sandi Klavzar; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1996)

On the Relation between the Path Numbers 1Z, 2Z and the Hosoya Z Index. - Dejan Plavsic; Milan Soskic; Irena Landeka; Ivan Gutman; Ante Graovac (J. Chem. Inf. Comput. Sci., 1996)

A New Recursion Relation for the Characteristic Polynomial of a Molecular Graph. - Vladimir R. Rosenfeld; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1996)

Wiener Number of Vertex-weighted Graphs and a Chemical Application. - Sandi Klavzar; Ivan Gutman (Discret. Appl. Math., 1997)

Detour-Cluj Matrix and Derived Invariants. - Mircea V. Diudea; Bazil Pârv; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1997)

Bounds for the Schultz Molecular Topological Index of Benzenoid Systems in Terms of the Wiener Index. - Ivan Gutman; Sandi Klavzar (J. Chem. Inf. Comput. Sci., 1997)

Trees with Extremal Hyper-Wiener Index: Mathematical Basis and Chemical Applications. - Ivan Gutman; Wolfgang Linert; István Lukovits; Andrey A. Dobrynin (J. Chem. Inf. Comput. Sci., 1997)

Wiener Numbers of Phenylenes: An Exact Result. - Ljiljana Pavlovic; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1997)

Extension of the Z Matrix to Cycle-Containing and Edge-Weighted Molecular Graphs. - Dejan Plavsic; Milan Soskic; Zorislav Dakovic; Ivan Gutman; Ante Graovac (J. Chem. Inf. Comput. Sci., 1997)

Algebraic Connections between Topological Indices. - Onn Chan; Ivan Gutman; Tao-Kai Lam; Russell Merris (J. Chem. Inf. Comput. Sci., 1998)

Extension of Edge Connectivity Index. Relationships to Line Graph Indices and QSPR Applications. - Ernesto Estrada; Nicolais Guevara; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1998)

An Algorithm for Counting Spanning Trees in Labeled Molecular Graphs Homeomorphic to Cata-Condensed Systems. - P. E. John; Roger B. Mallion; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1998)

A Collective Property of Trees and Chemical Trees. - Mirko Lepovic; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1998)

Variable Neighborhood Search for Extremal Graphs: IV: Chemical Trees with Extremal Connectivity Index. - Gilles Caporossi; Ivan Gutman; Pierre Hansen (Comput. Chem., 1999)

The Average Wiener Index of Hexagonal Chains. - Andrey A. Dobrynin; Ivan Gutman (Comput. Chem., 1999)

Variable Neighborhood Search for Extremal Graphs. 2. Finding Graphs with Extremal Energy. - Gilles Caporossi; Drago Cvetkovi; Ivan Gutman; Pierre Hansen (J. Chem. Inf. Comput. Sci., 1999)

The Average Wiener Index of Trees and Chemical Trees. - Andrey A. Dobrynin; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1999)

Wiener-Number-Related Sequences. - Douglas J. Klein; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1999)

Spectral Moments of the Edge Adjacency Matrix in Molecular Graphs. Benzenoid Hydrocarbons. - Svetlana Markovic; Ivan Gutman (J. Chem. Inf. Comput. Sci., 1999)

An Algorithm for the Calculation of the Hyper-Wiener Index of Benzenoid Hydrocarbons. - Sandi Klavzar; Petra Zigert; Ivan Gutman (Comput. Chem., 2000)

Bounds for the Randi Connectivity Index. - Ivan Gutman; Oswaldo Araujo; Daniel A. Morales (J. Chem. Inf. Comput. Sci., 2000)

The Multiplicative Version of the Wiener Index. - Ivan Gutman; Wolfgang Linert; István Lukovits; Zeljko Tomoviç (J. Chem. Inf. Comput. Sci., 2000)

Relation between Distance-Based Topological Indices. - Ivan Gutman; Zeljko Tomoviç (J. Chem. Inf. Comput. Sci., 2000)

Matchings in starlike trees. - Ivan Gutman; Oswaldo Araujo; Juan Rada (Appl. Math. Lett., 2001)

Binary Coding of Kekulé Structures of Catacondensed Benzenoid Hydrocarbons. - Sandi Klavzar; Aleksander Vesel; Petra Zigert; Ivan Gutman (Comput. Chem., 2001)

On the nullity of line graphs of trees. - Ivan Gutman; Irene Sciriha (Discret. Math., 2001)

On Walks in Molecular Graphs. - Ivan Gutman; Christoph Rücker; Gerta Rücker (J. Chem. Inf. Comput. Sci., 2001)

Quest for Molecular Graphs with Maximal Energy: A Computer Experiment. - Ivan Gutman; Dusica Vidovic (J. Chem. Inf. Comput. Sci., 2001)

Modeling Boiling Points of Cycloalkanes by Means of Iterated Line Graph Sequences. - Zeljko Tomoviç; Ivan Gutman (J. Chem. Inf. Comput. Sci., 2001)

No starlike trees are cospectral. - Mirko Lepovic; Ivan Gutman (Discret. Math., 2002)

Asymptotic results regarding the number of walks in a graph. - Andreas W. M. Dress; Ivan Gutman (Appl. Math. Lett., 2003)

The number of walks in a grap. - Andreas W. M. Dress; Ivan Gutman (Appl. Math. Lett., 2003)

Graphs with maximum connectivity index. - Gilles Caporossi; Ivan Gutman; Pierre Hansen; Ljiljana Pavlovic (Comput. Biol. Chem., 2003)

Harmonic graphs with small number of cycles. - Bojana Borovicanin; Stefan Grünewald; Ivan Gutman; Miroslav Petrovic (Discret. Math., 2003)

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

Chirality Codes and Molecular Structure. - João Aires-de-Sousa; Johann Gasteiger; Ivan Gutman; Dusica Vidovic (J. Chem. Inf. Model., 2004)

Algebraic Kekulé Structures of Benzenoid Hydrocarbons. - Ivan Gutman; Damir Vukicevic; Ante Graovac; Milan Randic (J. Chem. Inf. Model., 2004)

Spectra and energies of iterated line graphs of regular graphs. - Harishchandra S. Ramane; Hanumappa B. Walikar; Siddani Bhaskara Rao; B. Devadas Acharya; Prabhakar Ramrao Hampiholi; Sudhir R. Jog; Ivan Gutman (Appl. Math. Lett., 2005)

Variable Neighborhood Search for Extremal Graphs. 10. Comparison of Irregularity Indices for Chemical Trees. - Ivan Gutman; Pierre Hansen; Hadrien Mélot (J. Chem. Inf. Model., 2005)

A theorem on Wiener-type invariants for isometric subgraphs of hypercubes. - Sandi Klavzar; Ivan Gutman (Appl. Math. Lett., 2006)

On the role of hypercubes in the resonance graphs of benzenoid graphs. - Khaled Salem; Sandi Klavzar; Ivan Gutman (Discret. Math., 2006)

On the Cycle-Dependence of Topological Resonance Energy. - Ivan Gutman; Sonja Stankovic; Jelena Durdevic; Boris Furtula (J. Chem. Inf. Model., 2007)

Relations between Clar structures, Clar covers, and the sextet-rotation tree of a hexagonal system. - Shan Zhou; Heping Zhang; Ivan Gutman (Discret. Appl. Math., 2008)

Electronic Structure Study of Thermal Intraconversions of Some Dicyclopenta-Fused Polycyclic Aromatic Compounds. - Svetlana Markovic; Sonja Stankovic; Slavko Radenkovic; Ivan Gutman (J. Chem. Inf. Model., 2008)

Estimating the Szeged index. - Kinkar Chandra Das; Ivan Gutman (Appl. Math. Lett., 2009)

On the degree distance of a graph. - Peter Dankelmann; Ivan Gutman; Simon Mukwembi; Henda C. Swart (Discret. Appl. Math., 2009)

The edge-Wiener index of a graph. - Peter Dankelmann; Ivan Gutman; Simon Mukwembi; Henda C. Swart (Discret. Math., 2009)

Lower bounds for Estrada index and Laplacian Estrada index. - Hamidreza Bamdad; Firouzeh Ashraf; Ivan Gutman (Appl. Math. Lett., 2010)

On the first geometric-arithmetic index of graphs. - Kinkar Chandra Das; Ivan Gutman; Boris Furtula (Discret. Appl. Math., 2011)

First and second extremal bipartite graphs with respect to PI index. - Zahra Yarahmadi; A. R. Ashrafi; Ivan Gutman (Math. Comput. Model., 2011)

Computer search for trees with minimal ABC index. - Boris Furtula; Ivan Gutman; Milos R. Ivanovic; Damir Vukicevic (Appl. Math. Comput., 2012)

q-Wiener index of some compound trees. - Jiaguo Liu; Ivan Gutman; Zengchao Mu; Yusen Zhang 002 (Appl. Math. Comput., 2012)

Some properties of the Narumi-Katayama index. - Ivan Gutman; Modjtaba Ghorbani (Appl. Math. Lett., 2012)

On the Zagreb indices equality. - Hosam Abdo; Darko Dimitrov; Ivan Gutman (Discret. Appl. Math., 2012)

The matching energy of a graph. - Ivan Gutman; Stephan G. Wagner (Discret. Appl. Math., 2012)

On structure-sensitivity of degree-based topological indices. - Boris Furtula; Ivan Gutman; Matthias Dehmer (Appl. Math. Comput., 2013)

Degree-based topological indices: Optimal trees with given number of pendents. - Mikhail V. Goubko; Ivan Gutman (Appl. Math. Comput., 2014)

Zagreb indices of transformation graphs and total transformation graphs. - Sunilkumar M. Hosamani; Ivan Gutman (Appl. Math. Comput., 2014)

On difference of Zagreb indices. - Boris Furtula; Ivan Gutman; Süleyman Ediz (Discret. Appl. Math., 2014)

Wiener index of Eulerian graphs. - Ivan Gutman; Roberto Cruz; Juan Rada (Discret. Appl. Math., 2014)

Relations between distance-based and degree-based topological indices. - Kinkar Chandra Das; Ivan Gutman; Mohammad J. Nadjafi-Arani (Appl. Math. Comput., 2015)

On Laplacian energy in terms of graph invariants. - Kinkar Chandra Das; Seyed Ahmad Mojallal; Ivan Gutman (Appl. Math. Comput., 2015)

Novel inequalities for generalized graph entropies - Graph energies and topological indices. - Xueliang Li 001; Zhongmei Qin; Meiqin Wei; Ivan Gutman; Matthias Dehmer (Appl. Math. Comput., 2015)

On spectral radius and energy of complete multipartite graphs. - Dragan Stevanovic; Ivan Gutman; Masood U. Rehman (Ars Math. Contemp., 2015)

On extremal trees with respect to the $F$-index. - Hosam Abdo; Darko Dimitrov; Ivan Gutman (CoRR, 2015)

The degree resistance distance of cacti. - Junfeng Du; Guifu Su; Jianhua Tu; Ivan Gutman (Discret. Appl. Math., 2015)

Which tree has the smallest ABC index among trees with k leaves? - Colton Magnant; Pouria Salehi Nowbandegani; Ivan Gutman (Discret. Appl. Math., 2015)

On energy and Laplacian energy of bipartite graphs. - Kinkar Chandra Das; Seyed Ahmad Mojallal; Ivan Gutman (Appl. Math. Comput., 2016)

On Steiner degree distance of trees. - Ivan Gutman (Appl. Math. Comput., 2016)

On some degree-and-distance-based graph invariants of trees. - Ivan Gutman; Boris Furtula; Kinkar Chandra Das (Appl. Math. Comput., 2016)

On ordering of complements of graphs with respect to matching numbers. - Hong-Hai Li; Qianqian Wu; Ivan Gutman (Appl. Math. Comput., 2016)

Upper bounds for some graph energies. - Igor Z. Milovanovic; Emina I. Milovanovic; Ivan Gutman (Appl. Math. Comput., 2016)

On Wiener and multiplicative Wiener indices of graphs. - Kinkar Chandra Das; Ivan Gutman (Discret. Appl. Math., 2016)

Graphs with maximum Laplacian and signless Laplacian Estrada index. - Ivan Gutman; Luis Medina 001; Pamela Pizarro; María Robbiano (Discret. Math., 2016)

The Steiner Wiener index of a graph. - Ivan Gutman; Xueliang Li 001; Yaping Mao (Discuss. Math. Graph Theory, 2016)

A kernel-based clustering method for gene selection with gene expression data. - Huihui Chen; Yusen Zhang 002; Ivan Gutman (J. Biomed. Informatics, 2016)

General sum-connectivity index, general product-connectivity index, general Zagreb index and coindices of line graph of subdivision graphs. - Harishchandra S. Ramane; Vinayak V. Manjalapur; Ivan Gutman (AKCE Int. J. Graphs Comb., 2017)

On spectral radius and energy of extended adjacency matrix of graphs. - Kinkar Chandra Das; Ivan Gutman; Boris Furtula (Appl. Math. Comput., 2017)

On coindices of graphs and their complements. - Ivan Gutman (Appl. Math. Comput., 2017)

Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory. - Ivan Gutman; Kinkar Chandra Das; Boris Furtula; Emina I. Milovanovic; Igor Z. Milovanovic (Appl. Math. Comput., 2017)

On the maximum ABC index of graphs without pendent vertices. - Zehui Shao; Pu Wu; Yingying Gao; Ivan Gutman; Xiujun Zhang (Appl. Math. Comput., 2017)

Cacti with n-vertices and t cycles having extremal Wiener index. - Ivan Gutman; Shuchao Li; Wei Wei (Discret. Appl. Math., 2017)

Further results on the largest matching root of unicyclic graphs. - Weijun Liu; Qiang Guo 010; Yanbo Zhang; Lihua Feng; Ivan Gutman (Discret. Appl. Math., 2017)

Nordhaus-Gaddum-type results for the Steiner Wiener index of graphs. - Yaping Mao; Zhao Wang 007; Ivan Gutman; He Li (Discret. Appl. Math., 2017)

Computational prediction of therapeutic peptides based on graph index. - Chunrui Xu; Li Ge; Yusen Zhang 002; Matthias Dehmer; Ivan Gutman (J. Biomed. Informatics, 2017)

Randić index and information. - Ivan Gutman; Boris Furtula; Vladimir Katanic (AKCE Int. J. Graphs Comb., 2018)

Stepwise irregular graphs. - Ivan Gutman (Appl. Math. Comput., 2018)

Relations between total irregularity and non-self-centrality of graphs. - Kexiang Xu; Xiaoqian Gu; Ivan Gutman (Appl. Math. Comput., 2018)

Graphs with maximal σ irregularity. - Hosam Abdo; Darko Dimitrov; Ivan Gutman (Discret. Appl. Math., 2018)

Inverse problem on the Steiner Wiener index. - Ivan Gutman; Xueliang Li 001; Yaping Mao (Discuss. Math. Graph Theory, 2018)

Graph irregularity and its measures. - Hosam Abdo; Darko Dimitrov; Ivan Gutman (Appl. Math. Comput., 2019)

Linear and non-linear inequalities on the inverse sum indeg index. - Ivan Gutman; José M. Rodríguez 001; José M. Sigarreta Almira (Discret. Appl. Math., 2019)

Some new lower bounds for augmented Zagreb index. - Boris Furtula; Ivan Gutman; Marjan M. Matejic; Emina I. Milovanovic; Igor Z. Milovanovic (J. Appl. Math. Comput., 2019)

Beyond the Zagreb indices. - Ivan Gutman; Emina I. Milovanovic; Igor Z. Milovanovic (AKCE Int. J. Graphs Comb., 2020)

Cycle energy and its size dependence. - Ivan Gutman (Discret. Appl. Math., 2020)

Comparing eccentricity-based graph invariants. - Ivan Gutman; Hongbo Hua; Hongzhuan Wang (Discuss. Math. Graph Theory, 2020)

Sombor index of chemical graphs. - Roberto Cruz; Ivan Gutman; Juan Rada (Appl. Math. Comput., 2021)

On Sombor index of trees. - Kinkar Chandra Das; Ivan Gutman (Appl. Math. Comput., 2022)

Hosoya index of VDB-weighted graphs. - Roberto Cruz; Ivan Gutman; Juan Rada (Discret. Appl. Math., 2022)

Proofs to Some Open Problems on the Maximum Sombor Index of Graphs. - Sakander Hayat; Muhammad Arshad; Ivan Gutman (Comput. Appl. Math., 2023)

On (exponential) bond incident degree indices of graphs. - Peichao Wei; Muhuo Liu; Ivan Gutman (Discret. Appl. Math., 2023)