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Gutman, Ivan M.

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Author ID: gutman.ivan-m Recent zbMATH articles by "Gutman, Ivan M."
Published as: Gutman, I.; Gutman, Ivan; Gutman, Ivan M.; Gutman, Iván
Homepage: http://www.pmf.kg.ac.rs/gutman/
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 492 Publications since 1972, including 13 Books
Biographic References: 1 Publication
all top 5

Co-Authors

74 single-authored
45 Furtula, Boris
36 Das, Kinkar Chandra
23 Li, Xueliang
16 Ramane, Harishchandra S.
14 Cvetkovic, Dragos M.
14 Zhou, Bo
12 Petrović, Miroslav Milovan
12 Rada, Juan
12 Robbiano, María
11 Ashrafi, Ali Reza
11 Cyvin, Sven J.
10 Dobrynin, Andrey A.
10 Klavžar, Sandi
8 Lepović, Mirko
7 Iranmanesh, Ali
7 Milovanović, Emina I.
7 Milovanović, Igor Ž.
7 Radenković, Slavko
7 Xu, Kexiang
7 Yeh, Yeong-Nan
6 Dimitrov, Darko
6 Liu, Bolian
6 Polansky, Oskar E.
6 Walikar, Hanumappa B.
5 Abreu, Nair Maria Maia de
5 Cruz, Roberto
5 Graovac, Ante
5 Klobučar, Antoaneta
5 Mojallal, Seyed Ahmad
5 Pavlović, Ljiljana R.
5 Vukičević, Damir
4 Abdo, Hosam
4 Andrade Martins, Enide
4 Borovićanin, Bojana
4 Burcu Bozkurt, Ş.
4 de la Peña, José Antonio
4 Fath-Tabar, Gholam Hossein
4 Hou, Yaoping
4 Jog, Sudhir R.
4 Majstorović, Snježana
4 Miljković, Olga
4 Nagypál, István
4 Pirzada, Shariefuddin
4 San Martín Rebolledo, Bernardo
4 Sciriha, Irene
4 Shi, Yongtang
3 Acharya, Belmannu Devadas
3 Ahmadi, Mohammad Bagher
3 Ayyaswamy, Singaraj Kulandaiswamy
3 Balachandran, Selvaraj
3 Brunvoll, Jon
3 Cardoso, Domingos Moreira
3 Cyvin, Bjørg N.
3 Dehmer, Matthias
3 Dress, Andreas W. M.
3 Feng, Lihua
3 Fishtik, Ilie
3 Gong, Shicai
3 Goubko, Mikhail V.
3 Hampiholi, Prabhakar R.
3 Horoldagva, Batmend
3 Hosseini, Seyyed Aliasghar
3 Indulal, Gopalapillai
3 Li, Shuchao
3 Liu, Muhuo
3 Mao, Yaping
3 Mateljević, Miodrag S.
3 Qin, Zhongmei
3 Rao, Siddani Bhaskara
3 Revankar, Deepak S.
3 Salehi Nowbandegani, Pouria
3 Salem, Khaled
3 Shao, Zehui
3 Soner, Nandappa D.
3 Su, Guifu
3 Xiao, Wenjun
3 Zhang, Jian-bing
3 Žigert Pleteršek, Petra
2 Adiga, Chandrashekar
2 Aleksić, Tatjana M.
2 Alwardi, Anwar
2 Araujo, Oswaldo G.
2 Arsić, Branko
2 Bonifácio, Andréa Soares
2 Cash, Gordon G.
2 Çevik, Ahmet Sinan
2 Chen, Jiann-Cherng
2 Chen, Xiaodan
2 Dankelmann, Peter
2 Deng, Hanyuan
2 Diudea, Mircea V.
2 Doob, Michael
2 Đurđević, Jelena
2 Farrell, Edward J.
2 Ganagi, Asha B.
2 Ganie, Hilal Ahmad
2 Gao, Yingying
2 Ghalavand, Ali
2 Godsil, Christopher David
2 Grünewald, Stefan
...and 257 more Co-Authors
all top 5

Serials

107 MATCH - Communications in Mathematical and in Computer Chemistry
48 Match
29 Publications de l’Institut Mathématique. Nouvelle Série
27 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
25 Linear Algebra and its Applications
25 Journal of Mathematical Chemistry
22 Discrete Applied Mathematics
22 Kragujevac Journal of Mathematics
20 Applied Mathematics and Computation
14 Iranian Journal of Mathematical Chemistry
10 Applied Mathematics Letters
10 Zbornik Radova, Prirodno-Matematickog Fakulteta, Univerzitet u Kragujevcu
9 Discrete Mathematics
8 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika
7 Bulletin of the International Mathematical Virtual Institute
7 Transactions on Combinatorics
6 Filomat
5 Linear and Multilinear Algebra
4 Acta Applicandae Mathematicae
4 Applicable Analysis and Discrete Mathematics
3 Utilitas Mathematica
3 Discussiones Mathematicae. Graph Theory
3 Hacettepe Journal of Mathematics and Statistics
3 Iranian Journal of Mathematical Sciences and Informatics
3 DML. Discrete Mathematics Letters
2 Computers and Chemistry
2 The Fibonacci Quarterly
2 Journal of Combinatorics, Information & System Sciences
2 Mathematica Slovaca
2 Mathematical Communications
2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ. Seriya 2
2 AKCE International Journal of Graphs and Combinatorics
2 Zbornik Radova (Beograd)
2 Mathematical Chemistry Monographs
2 Communications in Combinatorics and Optimization
1 Wissenschaftliche Zeitschrift der Technischen Hochschule Ilmenau
1 Zeitschrift fuer Naturforschung, A: Physical Sciences
1 Ars Combinatoria
1 Journal of Graph Theory
1 Publikacije Elektrotehnickog Fakulteta. Univerzitat u Beogradu. Serija Matematika i Fizika
1 Tamkang Journal of Mathematics
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 Mathematical and Computer Modelling
1 Bulletin of the Institute of Combinatorics and its Applications
1 ELA. The Electronic Journal of Linear Algebra
1 Bulletin of Society of Mathematicians Banja Luka
1 Novi Sad Journal of Mathematics
1 Journal of Applied Mathematics and Computing
1 Miskolc Mathematical Notes
1 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique
1 Matematichki Vesnik. New Series
1 Proyecciones
1 Annals of Discrete Mathematics
1 Ars Mathematica Contemporanea
1 Kuwait Journal of Science
1 Open Mathematics
1 Discrete Mathematics and its Applications
1 Lecture Notes in Chemistry

Publications by Year

Citations contained in zbMATH

406 Publications have been cited 5,755 times in 2,314 Documents Cited by Year
Mathematical concepts in organic chemistry. Zbl 0657.92024
Gutman, Ivan; Polansky, Oskar E.
334
1986
Wiener index of trees: Theory and applications. Zbl 0982.05044
Dobrynin, Andrey A.; Entringer, Roger; Gutman, Ivan
313
2001
The energy of a graph: Old and new results. Zbl 0974.05054
Gutman, Ivan
183
2001
The first Zagreb index 30 years after. Zbl 1053.05115
Gutman, Ivan; Das, Kinkar Ch.
159
2004
Recent results in the theory of graph spectra. Zbl 0634.05054
Cvetković, Dragos M.; Doob, Michael; Gutman, Ivan; Torgašev, Aleksandar
123
1988
The energy of a graph. Zbl 0402.05040
Gutman, Ivan
113
1978
Laplacian energy of a graph. Zbl 1092.05045
Gutman, Ivan; Zhou, Bo
108
2006
Wiener index of hexagonal systems. Zbl 0993.05059
Dobrynin, Andrey A.; Gutman, Ivan; Klavžar, Sandi; Žigert, Petra
99
2002
Mathematical aspects of Randić-type molecular structure descriptors. Zbl 1294.92032
Li, Xueliang; Gutman, Ivan
98
2006
Essentially disconnected benzenoids: Distribution of K, the number of Kekulé structures, in benzenoid hydrocarbons. VIII. Zbl 0722.05056
Brunvoll, J.; Cyvin, S. J.; Cyvin, B. N.; Gutman, I.
95
1989
Graph energy. Zbl 1262.05100
Li, Xueliang; Shi, Yongtang; Gutman, Ivan
94
2012
On the theory of the matching polynomial. Zbl 0462.05051
Godsil, C. D.; Gutman, I.
87
1981
A survey on graphs extremal with respect to distance-based topological indices. Zbl 06704596
Xu, Kexiang; Liu, Muhuo; Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
70
2014
Generalizations of the matching polynomial. Zbl 0527.05055
Gutman, Ivan; Harary, Frank
61
1983
A forgotten topological index. Zbl 1317.05031
Furtula, Boris; Gutman, Ivan
59
2015
Graph energy. Zbl 1256.05140
Gutman, Ivan; Li, Xueliang; Zhang, Jianbin
58
2009
Estimating the Estrada index. Zbl 1184.05082
de la Peña, José Antonio; Gutman, Ivan; Rada, Juan
55
2007
Some properties of the second Zagreb index. Zbl 1077.05094
Das, Kinkar Ch.; Gutman, Ivan
54
2004
On structure-sensitivity of degree-based topological indices. Zbl 1308.92029
Furtula, Boris; Gutman, Ivan; Dehmer, Matthias
50
2013
All-benzenoid systems: Enumeration and classification of benzenoid hydrocarbons. VI. Zbl 0663.05034
Cyvin, B. N.; Brunvoll, J.; Cyvin, S. J.; Gutman, I.
50
1988
The Szeged and the Wiener index of graphs. Zbl 0903.05020
Kalvžar, S.; Rajapakse, A.; Gutman, I.
47
1996
Eccentric connectivity index of chemical trees. Zbl 1289.05123
Ilić, Aleksandar; Gutman, Ivan
44
2011
The algebraic multiplicity of the number zero in the spectrum of a bipartite graph. Zbl 0263.05125
Cvetkovic, Dragos M.; Gutman, Ivan M.
44
1972
On the nullity of line graphs of trees. Zbl 0971.05070
Gutman, Ivan; Sciriha, Irene
43
2001
On distance energy of graphs. Zbl 1199.05226
Indulal, Gopalapillai; Gutman, Ivan; Vijayakumar, Ambat
41
2008
On the sum of all distances in composite graphs. Zbl 0814.05033
Yeh, Yeong-Nan; Gutman, Ivan
39
1994
Trees with maximum nullity. Zbl 1068.05015
Fiorini, Stanley; Gutman, Ivan; Sciriha, Irene
38
2005
Maxima and minima of the Hosoya index and the Merrifield-Simmons index. Zbl 1201.92068
Wagner, Stephan; Gutman, Ivan
37
2010
On incidence energy of graphs. Zbl 1199.05221
Gutman, Ivan; Kiani, Dariush; Mirzakhah, Maryam
36
2009
On incidence energy of a graph. Zbl 1175.05084
Gutman, Ivan; Kiani, Dariush; Mirzakhah, Maryam; Zhou, Bo
35
2009
A connection between ordinary and Laplacian spectra of bipartite graphs. Zbl 1163.05043
Zhou, Bo; Gutman, Ivan
35
2008
On Wiener index of common neighborhood graphs. Zbl 06704618
Knor, Martin; Lužar, Borut; Škrekovski, Riste; Gutman, Ivan
34
2014
Note on the HOMO-LUMO index of graphs. Zbl 1299.05225
Li, Xueliang; Li, Yiyang; Shi, Yongtang; Gutman, Ivan
34
2013
Kragujevac trees with minimal atom-bond connectivity index. Zbl 06704583
Hosseini, Seyyed A.; Ahmadi, Mohammad B.; Gutman, Ivan
32
2014
Multiplicative versions of first Zagreb index. Zbl 1289.05062
Eliasi, Mehdi; Iranmanesh, Ali; Gutman, Ivan
32
2012
The matching energy of a graph. Zbl 1252.05120
Gutman, Ivan; Wagner, Stephan
32
2012
On the ordering of graphs with respect to their matching numbers. Zbl 0646.05049
Gutman, Ivan; Zhang, Fuji
32
1986
Further properties of Zagreb indices. Zbl 1087.05057
Zhou, Bo; Gutman, Ivan
31
2005
Wiener number of vertex-weighted graphs and a chemical application. Zbl 0889.05046
Klavžar, Sandi; Gutman, Ivan
31
1997
Recent results in the theory of Randić index. Zbl 1294.05002
Gutman, Ivan (ed.); Furtula, Boris (ed.)
30
2008
On Zagreb indices and coindices. Zbl 06749530
Gutman, Ivan; Furtula, Boris; Kovijanić Vukićević, Žana; Popivoda, Goran
29
2015
The Estrada index: an updated survey. Zbl 1289.05288
Gutman, Ivan; Deng, Hanyuan; Radenković, Slavko
29
2011
The edge-Wiener index of a graph. Zbl 1188.05059
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
29
2009
Applications of a theorem by Ky Fan in the theory of graph energy. Zbl 1218.05100
So, Wasin; Robbiano, María; de Abreu, Nair Maria Maia; Gutman, Ivan
28
2010
On graphs whose spectral radius does not exceed \((2+\sqrt{5})^{1/2}\). Zbl 0504.05040
Cvetkovic, Dragos; Doob, Michael; Gutman, Ivan
28
1982
Survey on geometric-arithmetic indices of graphs. Zbl 1265.05004
Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
27
2011
Unicyclic graphs with maximal energy. Zbl 1015.05052
Hou, Yaoping; Gutman, Ivan; Woo, Ching-Wah
27
2002
Topological approach to the chemistry of conjugated molecules. Zbl 0385.05032
Graovac, Ante; Gutman, Ivan; Trinajstic, Nenad
27
1977
An exceptional property of first Zagreb index. Zbl 06704640
Gutman, Ivan
26
2014
On Laplacian energy. Zbl 1299.05212
Das, Kinkar Ch.; Gutman, Ivan; Çevik, A. Sinan; Zhou, Bo
26
2013
Multiplicative Zagreb indices of trees. Zbl 1265.05099
Gutman, Ivan
26
2011
On Randić energy. Zbl 1282.05118
Gutman, Ivan; Furtula, Boris; Bozkurt, Ş. Burcu
25
2014
Note on Estrada and \(L\)-Estrada indices of graphs. Zbl 1274.05292
Fath-Tabar, G. H.; Ashrafi, A. R.; Gutman, I.
24
2009
On the degree distance of a graph. Zbl 1209.05069
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
24
2009
Degree resistance distance of unicyclic graphs. Zbl 1301.05103
Gutman, Ivan; Feng, Lihua; Yu, Guihai
23
2012
On vertex-degree-based molecular structure descriptors. Zbl 1265.05144
Doslić, Tomislav; Furtula, Boris; Graovac, Ante; Gutman, Ivan; Moradi, Sirous; Yarahmadi, Zahra
23
2011
New upper bounds on Zagreb indices. Zbl 1200.92048
Das, Kinkar Ch.; Gutman, Ivan; Zhou, Bo
23
2009
The branching extent of graphs. Zbl 0461.05057
Ruch, Ernst; Gutman, Ivan
23
1979
The matching polynomial. Zbl 0436.05053
Gutman, Ivan
23
1979
On difference of Zagreb indices. Zbl 1300.05066
Furtula, Boris; Gutman, Ivan; Ediz, Süleyman
22
2014
The ABC index conundrum. Zbl 1409.05063
Gutman, Ivan; Furtula, Boris; Ahmadi, Mohammad B.; Hosseini, Seyyed A.; Nowbandegani, Pouria Salehi; Zarrinderakht, Maryam
22
2013
Notes on trees with minimal atom-bond connectivity index. Zbl 1289.05063
Gutman, Ivan; Furtula, Boris; Ivanović, Miloš
22
2012
Bounds for the signless Laplacian energy. Zbl 1222.05143
Abreu, Nair; Cardoso, Domingos M.; Gutman, Ivan; Martins, Enide A.; Robbiano, Marıá
22
2011
A note on Laplacian energy of graphs. Zbl 1199.05256
Zhou, Bo; Gutman, Ivan; Aleksić, Tatjana
22
2008
On the Merrifield-Simmons index of trees. Zbl 1084.05018
Li, Xueliang; Zhao, Haixing; Gutman, Ivan
22
2005
Energy of line graphs. Zbl 1194.05137
Gutman, Ivan; Robbiano, María; Martins, Enide Andrade; Cardoso, Domingos M.; Medina, Luis; Rojo, Oscar
21
2010
Some graphs with extremal Szeged index. Zbl 0953.05023
Simić, Slobodan; Gutman, Ivan; Baltić, Vladimir
21
2000
On atom-bond connectivity index. Zbl 1289.05061
Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
20
2012
Randić matrix and Randić energy. Zbl 1265.05113
Bozkurt, Š. Burcu; Güngör, A. Dilek; Gutman, Ivan; Čevik, A. Sinan
20
2010
The edge versions of the Wiener index. Zbl 1224.05144
Iranmanesh, Ali; Gutman, Ivan; Khormali, Omid; Mahmiani, Anehgaldi
20
2009
Terminal Wiener index. Zbl 1310.05075
Gutman, Ivan; Furtula, Boris; Petrović, Miroslav
20
2009
No starlike trees are cospectral. Zbl 0992.05054
Lepović, Mirko; Gutman, Ivan
20
2002
Three new/old vertex-degree-based topological indices. Zbl 06704630
Gutman, Ivan; Furtula, Boris; Elphick, Clive
19
2014
Vertex version of the Wiener theorem. Zbl 06704615
Škrekovski, Riste; Gutman, Ivan
19
2014
On Zagreb and Harary indices. Zbl 1299.05035
Das, Kinkar Ch.; Xu, Kexiang; Gutman, Ivan
19
2013
Degree Kirchhoff index of unicyclic graphs. Zbl 1299.05054
Feng, Lihua; Gutman, Ivan; Yu, Guihai
19
2013
Comparison between Kirchhoff index and the Laplacian-energy-like invariant. Zbl 1241.05072
Das, Kinkar Ch.; Xu, Kexiang; Gutman, Ivan
19
2012
On the distance spectra of some graphs. Zbl 1140.05026
Indulal, Gopalapillai; Gutman, Ivan
19
2008
On resistance matrices. Zbl 1049.05053
Xiao, Wenjun; Gutman, Ivan
19
2003
Elementary edge-cuts in the theory of benzenoid hydrocarbons. Zbl 1125.92326
Gutman, Ivan; Cyvin, Sven J.
19
1997
All-benzenoid systems: Topological properties of benzenoid systems. VII. Zbl 0663.05028
Gutman, I.; Cyvin, S. J.
19
1988
Disproving a conjecture on trees with minimal atom-bond connectivity index. Zbl 06704635
Ahmadi, Mohammad Bagher; Dimitrov, Darko; Gutman, Ivan; Hosseini, Seyyed Aliasghar
18
2014
Computer search for trees with minimal ABC index. Zbl 1285.05028
Furtula, Boris; Gutman, Ivan; Ivanović, Miloš; Vukičević, Damir
18
2012
Nullity of graphs: an updated survey. Zbl 1289.05287
Gutman, Ivan; Borovićanin, Bojana
18
2011
The Laplacian-energy like invariant is an energy like invariant. Zbl 1265.05370
Gutman, Ivan; Zhou, Bo; Furtula, Boris
18
2010
Relations between the permanental and characteristic polynomials of fullerenes and benzenoid hydrocarbons. Zbl 1026.05081
Gutman, Ivan; Cash, Gordon G.
18
2002
Energy of a polynomial and the Coulson integral formula. Zbl 1223.92070
Mateljević, Miodrag; Božin, Vladimir; Gutman, Ivan
17
2010
On graphs whose energy exceeds the number of vertices. Zbl 1226.05155
Gutman, Ivan
17
2008
Some analytical properties of the independence and matching polynomials. Zbl 0767.05070
Gutman, Ivan
17
1992
On the matching polynomial of a graph. Zbl 0476.05060
Godsil, C. D.; Gutman, I.
17
1981
ABC index of trees with fixed number of leaves. Zbl 06749569
Goubko, Mikhail; Magnant, Colton; Salehi Nowbandegani, Pouria; Gutman, Ivan
16
2015
Improving McClelland’s lower bound for energy. Zbl 1299.05213
Das, Kinkar Ch.; Mojallal, S. A.; Gutman, Ivan
16
2013
Trees with smallest atom-bond connectivity index. Zbl 1289.05047
Gutman, Ivan; Furtula, Boris
16
2012
On the first geometric-arithmetic index of graphs. Zbl 1244.05066
Das, K. Ch.; Gutman, I.; Furtula, B.
16
2011
On Laplacian energy of graphs. Zbl 1141.05057
Zhou, Bo; Gutman, Ivan
16
2007
On the energy of regular graphs. Zbl 1150.05024
Gutman, Ivan; Zare Firoozabadi, Sanaz; de la Peña, José Antonio; Rada, Juan
16
2007
On Laplacian-energy-like invariant and Kirchhoff index. Zbl 06749502
Pirzada, S.; Ganie, Hilal A.; Gutman, Ivan
15
2015
Upper bounds for Zagreb indices of connected graphs. Zbl 1111.05020
Liu, Bolian; Gutman, Ivan
15
2006
The Estrada index. Zbl 1224.05296
Deng, Hanyuan; Radenković, Slavko; Gutman, Ivan
14
2009
More on the Laplacian Estarda index. Zbl 1199.05255
Zhou, Bo; Gutman, Ivan
14
2009
Inverse problem for Zagreb indices. Zbl 1414.92229
Yurtas, Aysun; Togan, Muge; Lokesha, Veerebradiah; Cangul, Ismail Naci; Gutman, Ivan
2
2019
Inverse problem on the Steiner Wiener index. Zbl 1377.05049
Li, Xueliang; Mao, Yaping; Gutman, Ivan
7
2018
Graphs with maximal \(\sigma\) irregularity. Zbl 1398.05064
Abdo, Hosam; Dimitrov, Darko; Gutman, Ivan
5
2018
Relations between total irregularity and non-self-centrality of graphs. Zbl 1427.05122
Xu, Kexiang; Gu, Xiaoqian; Gutman, Ivan
4
2018
Degree-based energies of graphs. Zbl 1392.05073
Das, Kinkar Ch.; Gutman, Ivan; Milovanović, Igor; Milovanović, Emina; Furtula, Boris
4
2018
Total domination and open packing in some chemical graphs. Zbl 1390.92162
Gao, Yingying; Zhu, Enqiang; Shao, Zehui; Gutman, Ivan; Klobučar, Antoaneta
4
2018
Randić index and information. Zbl 1403.05030
Gutman, Ivan; Furtula, Boris; Katanić, Vladimir
3
2018
Stepwise irregular graphs. Zbl 1428.05061
Gutman, Ivan
2
2018
Leap Zagreb indices of trees and unicyclic graphs. Zbl 1395.05046
Shao, Zehui; Gutman, Ivan; Li, Zepeng; Wang, Shaohui; Wu, Pu
2
2018
Topological indices and irregularity measures. Zbl 1438.05055
Gutman, Ivan
1
2018
On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs. Zbl 1392.05072
Das, Kinkar Ch.; Gutman, Ivan
1
2018
On the maximum ABC index of graphs without pendent vertices. Zbl 1426.05082
Shao, Zehui; Wu, Pu; Gao, Yingying; Gutman, Ivan; Zhang, Xiujun
7
2017
Further results on the largest matching root of unicyclic graphs. Zbl 1434.05076
Liu, Weijun; Guo, Qiang; Zhang, Yanbo; Feng, Lihua; Gutman, Ivan
5
2017
Nordhaus-Gaddum-type results for the Steiner Wiener index of graphs. Zbl 1354.05041
Mao, Yaping; Wang, Zhao; Gutman, Ivan; Li, He
5
2017
Graphs with smallest forgotten index. Zbl 1406.92762
Gutman, I.; Ghalavand, A.; Dehghan-Zadeh, T.; Ashrafi, A. R.
4
2017
On leap Zagreb indices of graphs. Zbl 1386.05034
Gutman, Ivan; Naji, Ahmed M.; Soner, Nandappa D.
4
2017
Cacti with \(n\)-vertices and \(t\) cycles having extremal Wiener index. Zbl 1372.05058
Gutman, Ivan; Li, Shuchao; Wei, Wei
4
2017
On spectral radius and energy of extended adjacency matrix of graphs. Zbl 1411.05157
Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
3
2017
Borderenergetic graphs of order 12. Zbl 1406.92759
Furtula, Boris; Gutman, Ivan
2
2017
General sum-connectivity index, general product-connectivity index, general Zagreb index and coindices of line graph of subdivision graphs. Zbl 1372.05117
Ramane, Harishchandra S.; Manjalapur, Vinayak V.; Gutman, Ivan
2
2017
Graph polynomials. Zbl 1362.05003
Shi, Yongtang; Dehmer, Matthias; Li, Xueliang; Gutman, Ivan
2
2017
On Banhatti and Zagreb indices. Zbl 1412.05043
Gutman, I.; Kulli, V. R.; Chaluvaraju, B.; Boregowda, H. S.
1
2017
Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory. Zbl 1426.26045
Gutman, Ivan; Das, Kinkar Ch.; Furtula, Boris; Milovanović, Emina; Milovanović, Igor
1
2017
On coindices of graphs and their complements. Zbl 1411.05073
Gutman, Ivan
1
2017
Connectivity, diameter, independence number and the distance spectral radius of graphs. Zbl 1365.05189
Zhang, Minjie; Li, Shuchao; Gutman, Ivan
1
2017
Relations between degrees, conjugate degrees and graph energies. Zbl 1352.05111
Das, Kinkar Chandra; Mojallal, Seyed Ahmad; Gutman, Ivan
1
2017
The Steiner Wiener index of a graph. Zbl 1334.05027
Li, Xueliang; Mao, Yaping; Gutman, Ivan
12
2016
Comparison between atom-bond connectivity indices of graphs. Zbl 06750351
Das, Kinkar Ch.; Mohammed, Mohanad A.; Gutman, Ivan; Atan, Kamel A.
11
2016
On energy and Laplacian energy of bipartite graphs. Zbl 1410.05124
Das, Kinkar Ch.; Mojallal, Seyed Ahmad; Gutman, Ivan
10
2016
Resolvent energy of graphs. Zbl 06750315
Gutman, Ivan; Furtula, Boris; Zogić, Emir; Glogić, Edin
8
2016
Graphs with maximum Laplacian and signless Laplacian Estrada index. Zbl 1339.05234
Gutman, Ivan; C, Luis Medina; Pizarro, Pamela; Robbiano, María
8
2016
On Wiener and multiplicative Wiener indices of graphs. Zbl 1335.05057
Das, Kinkar Ch.; Gutman, Ivan
8
2016
Upper bounds for some graph energies. Zbl 1410.05138
Milovanović, Igor; Milovanović, Emina; Gutman, Ivan
7
2016
On energy of line graphs. Zbl 1334.05079
Das, Kinkar Ch.; Mojallal, Seyed Ahmad; Gutman, Ivan
7
2016
Graphs with maximum Laplacian-energy-like invariant and incidence energy. Zbl 06750319
de Freitas, Maria Aguieras A.; Gutman, Ivan; Robbiano, María
6
2016
Maximum size of maximally irregular graphs. Zbl 06750346
Horoldagva, Batmend; Buyantogtokh, Lkhagva; Dorjsembe, Shiikhar; Gutman, Ivan
5
2016
Comparison between Laplacian-energy-like invariant and Kirchhoff index. Zbl 1333.05186
Pirzada, Shariefuddin; Ganie, Hilal A.; Gutman, Ivan
5
2016
On Steiner degree distance of trees. Zbl 1410.05043
Gutman, Ivan
4
2016
On ordering of complements of graphs with respect to matching numbers. Zbl 1410.05169
Li, Hong-Hai; Wu, Qian-Qian; Gutman, Ivan
2
2016
Three-center Harary index and its applications. Zbl 1406.92758
Furtula, B.; Gutman, I.; Katanic, V.
2
2016
Dependence of graph energy on nullity: a case study. Zbl 06750369
Gutman, Ivan; Triantafillou, Irene
2
2016
On maximal energy of trees with fixed weight sequence. Zbl 06750314
Gong, Shicai; Li, Xueliang; Gutman, Ivan; Xu, Guanghui; Tang, Yuxiang; Qin, Zhongmei; Yang, Kang
2
2016
On some degree-and-distance-based graph invariants of trees. Zbl 1410.05044
Gutman, Ivan; Furtula, Boris; Das, Kinkar Ch.
1
2016
On the maximal energy of integral weighted trees with fixed total weight sum. Zbl 06750359
Gong, Shicai; Li, Xueliang; Gutman, Ivan; Qin, Zhongmei; Yang, Kang
1
2016
Reciprocal product-degree distance of graphs. Zbl 06749874
Su, Guifu; Xiong, Liming; Gutman, Ivan; Xu, Lan
1
2016
Bounds for the energy of graphs. Zbl 1359.05074
Das, Kinkar Ch.; Gutman, Ivan
1
2016
More on borderenergetic graphs. Zbl 1331.05142
Deng, Bo; Li, Xueliang; Gutman, Ivan
1
2016
A forgotten topological index. Zbl 1317.05031
Furtula, Boris; Gutman, Ivan
59
2015
On Zagreb indices and coindices. Zbl 06749530
Gutman, Ivan; Furtula, Boris; Kovijanić Vukićević, Žana; Popivoda, Goran
29
2015
ABC index of trees with fixed number of leaves. Zbl 06749569
Goubko, Mikhail; Magnant, Colton; Salehi Nowbandegani, Pouria; Gutman, Ivan
16
2015
On Laplacian-energy-like invariant and Kirchhoff index. Zbl 06749502
Pirzada, S.; Ganie, Hilal A.; Gutman, Ivan
15
2015
Novel inequalities for generalized graph entropies – graph energies and topological indices. Zbl 1390.05132
Li, Xueliang; Qin, Zhongmei; Wei, Meiqin; Gutman, Ivan; Dehmer, Matthias
13
2015
On Randić energy. Zbl 06749505
Das, Kinkar Ch.; Sorgun, Sezer; Gutman, Ivan
11
2015
On spectral radius and energy of complete multipartite graphs. Zbl 1329.05201
Stevanović, Dragan; Gutman, Ivan; Rehman, Masood U.
10
2015
Relations between distance-based and degree-based topological indices. Zbl 1410.05040
Das, Kinkar Ch.; Gutman, Ivan; Nadjafi-Arani, Mohammad J.
9
2015
Borderenergetic graphs. Zbl 06749549
Gong, Shicai; Li, Xueliang; Xu, Guanghui; Gutman, Ivan; Furtula, Boris
9
2015
Which tree has the smallest ABC index among trees with \(k\) leaves? Zbl 1319.05039
Magnant, Colton; Nowbandegani, Pouria Salehi; Gutman, Ivan
9
2015
The degree resistance distance of cacti. Zbl 1311.05049
Du, Junfeng; Su, Guifu; Tu, Jianhua; Gutman, Ivan
6
2015
On Laplacian energy in terms of graph invariants. Zbl 1410.05123
Das, Kinkar Ch.; Mojallal, Seyed Ahmad; Gutman, Ivan
4
2015
Resolvent Estrada index – computational and mathematical studies. Zbl 06749558
Gutman, Ivan; Furtula, Boris; Chen, Xiaodan; Qian, Jianguo
3
2015
Graphs with smallest resolvent Estrada indices. Zbl 06749516
Gutman, Ivan; Furtula, Boris; Chen, Xiaodan; Qian, Jianguo
3
2015
On an old/new degree-based topological index. Zbl 06749290
Furtula, Boris; Gutman, Ivan; Kovijanić Vukićević, Žana; Lekishvili, Giorgi; Popivoda, Goran
3
2015
A combined technique for computation of energy-effect of cycles in conjugated molecules. Zbl 1317.92077
Fatoorehchi, H.; Gutman, I.; Abolghasemi, H.
3
2015
Edge-decomposition of topological indices. Zbl 1367.05051
Gutman, I.
2
2015
On Kirchhoff and degree Kirchhoff indices. Zbl 06749154
Milovanović, Igor; Gutman, Ivan; Milovanović, Emina
2
2015
A congruence relation for Wiener and Szeged indices. Zbl 06749075
Gutman, Ivan; Xu, Kexiang; Liu, Muhuo
2
2015
Bounds for Laplacian-type graph energies. Zbl 1340.05164
Gutman, Ivan; Milovanović, Emina; Milovanović, Igor
2
2015
Seidel energy of iterated line graphs of regular graphs. Zbl 06749402
Ramane, Harishchandra S.; Gutman, Ivan; Gundloor, Mahadevappa M.
1
2015
Upper bound on Randić energy of some graphs. Zbl 1312.05081
Gutman, Ivan; Robbiano, María; San Martín, Bernardo
1
2015
A survey on graphs extremal with respect to distance-based topological indices. Zbl 06704596
Xu, Kexiang; Liu, Muhuo; Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
70
2014
On Wiener index of common neighborhood graphs. Zbl 06704618
Knor, Martin; Lužar, Borut; Škrekovski, Riste; Gutman, Ivan
34
2014
Kragujevac trees with minimal atom-bond connectivity index. Zbl 06704583
Hosseini, Seyyed A.; Ahmadi, Mohammad B.; Gutman, Ivan
32
2014
An exceptional property of first Zagreb index. Zbl 06704640
Gutman, Ivan
26
2014
On Randić energy. Zbl 1282.05118
Gutman, Ivan; Furtula, Boris; Bozkurt, Ş. Burcu
25
2014
On difference of Zagreb indices. Zbl 1300.05066
Furtula, Boris; Gutman, Ivan; Ediz, Süleyman
22
2014
Three new/old vertex-degree-based topological indices. Zbl 06704630
Gutman, Ivan; Furtula, Boris; Elphick, Clive
19
2014
Vertex version of the Wiener theorem. Zbl 06704615
Škrekovski, Riste; Gutman, Ivan
19
2014
Disproving a conjecture on trees with minimal atom-bond connectivity index. Zbl 06704635
Ahmadi, Mohammad Bagher; Dimitrov, Darko; Gutman, Ivan; Hosseini, Seyyed Aliasghar
18
2014
Benzenoid systems with extremal vertex-degree-based topological indices. Zbl 06704603
Rada, Juan; Cruz, Roberto; Gutman, Ivan
13
2014
Zagreb indices of transformation graphs and total transformation graphs. Zbl 1338.05065
Hosamani, Sunilkumar M.; Gutman, Ivan
13
2014
On incidence energy of graphs. Zbl 1292.05169
Das, Kinkar Ch.; Gutman, Ivan
11
2014
Wiener index of Eulerian graphs. Zbl 1298.05093
Gutman, Ivan; Cruz, Roberto; Rada, Juan
10
2014
On the Laplacian-energy-like invariant. Zbl 1282.05106
Das, Kinkar Ch.; Gutman, Ivan; Çevik, A. Sinan
9
2014
Counting relations for general Zagreb indices. Zbl 06704566
Britto Antony Xavier, G.; Suresh, E.; Gutman, I.
8
2014
On the origin of two degree-based topological indices. Zbl 06704557
Gutman, I.
8
2014
Degree-based topological indices: optimal trees with given number of pendents. Zbl 1334.05172
Goubko, Mikhail; Gutman, Ivan
8
2014
On Randić spread. Zbl 06704612
Gomes, Helena; Gutman, Ivan; Martins, Enide Andrade; Robbiano, María; San Martín, Bernardo
6
2014
Chemical graphs constructed of composite graphs and their \(q\)-Wiener index. Zbl 06704647
Hamzeh, Asma; Iranmanesh, Ali; Réti, Tamás; Gutman, Ivan
3
2014
A decreasing sequence of upper bounds for the Laplacian energy of a tree. Zbl 1292.05168
Carmona, Juan; Gutman, Ivan; Tamblay, Nelda Jaque; Robbiano, María
3
2014
Ky Fan theorem applied to Randić energy. Zbl 1297.05147
Gutman, Ivan; Martins, Enide A.; Robbiano, María; San Martín, Bernardo
2
2014
On Wiener index of graph complements. Zbl 07276880
Senbagamalar, Jaisankar; Babujee, Jayapal Baskar; Gutman, Ivan
1
2014
Altan derivatives of a graph. Zbl 1367.92135
Gutman, Ivan
1
2014
Topological indices of Kragujevac trees. Zbl 1325.05052
Cruz, Roberto; Rada, Juan; Gutman, Iván
1
2014
On structure-sensitivity of degree-based topological indices. Zbl 1308.92029
Furtula, Boris; Gutman, Ivan; Dehmer, Matthias
50
2013
Note on the HOMO-LUMO index of graphs. Zbl 1299.05225
Li, Xueliang; Li, Yiyang; Shi, Yongtang; Gutman, Ivan
34
2013
On Laplacian energy. Zbl 1299.05212
Das, Kinkar Ch.; Gutman, Ivan; Çevik, A. Sinan; Zhou, Bo
26
2013
The ABC index conundrum. Zbl 1409.05063
Gutman, Ivan; Furtula, Boris; Ahmadi, Mohammad B.; Hosseini, Seyyed A.; Nowbandegani, Pouria Salehi; Zarrinderakht, Maryam
22
2013
On Zagreb and Harary indices. Zbl 1299.05035
Das, Kinkar Ch.; Xu, Kexiang; Gutman, Ivan
19
2013
Degree Kirchhoff index of unicyclic graphs. Zbl 1299.05054
Feng, Lihua; Gutman, Ivan; Yu, Guihai
19
2013
Improving McClelland’s lower bound for energy. Zbl 1299.05213
Das, Kinkar Ch.; Mojallal, S. A.; Gutman, Ivan
16
2013
...and 306 more Documents
all top 5

Cited by 2,207 Authors

126 Gutman, Ivan M.
77 Das, Kinkar Chandra
65 Li, Shuchao
57 Li, Xueliang
48 Ashrafi, Ali Reza
46 Zhou, Bo
43 Zhang, Heping
35 Zhang, Fuji
32 Rada, Juan
31 Liu, Jia-bao
30 Klavžar, Sandi
29 Ilić, Aleksandar
29 Škrekovski, Riste
28 Deng, Hanyuan
28 Xu, Kexiang
24 Hua, Hongbo
24 Liu, Bolian
23 Shi, Yongtang
23 Trinajstić, Nenad
23 Wagner, Stephan G.
22 Dehmer, Matthias
22 Simić, Slobodan K.
21 Feng, Lihua
21 Hansen, Pierre
21 Pirzada, Shariefuddin
20 Cvetkovic, Dragos M.
20 Du, Zhibin
20 Robbiano, María
20 Yan, Weigen
19 Imran, Muhammad
19 Knor, Martin
19 Stevanović, Dragan
19 Zhang, Xiaodong
18 Dimitrov, Darko
18 Farahani, Mohammad Reza
18 Wang, Ligong
17 Furtula, Boris
17 Milovanović, Emina I.
17 Milovanović, Igor Ž.
17 Wang, Hua
16 Došlić, Tomislav
16 Hou, Yaoping
16 Wang, Hua
15 Chen, Xiaodan
15 Trevisan, Vilmar
15 Wang, Shaohui
14 Brown, Jason Ira
14 Ganie, Hilal Ahmad
14 Iranmanesh, Ali
14 Liu, Muhuo
14 Wang, Jianfeng
14 Yeh, Yeong-Nan
14 Yu, Guihai
13 Ramane, Harishchandra S.
13 Sigarreta Almira, José María
13 Wang, Wenhuan
13 Wu, Tingzeng
13 Zhu, Zhongxun
12 Ali, Akbar
12 Gao, Wei
12 Klein, Douglas J.
12 Liu, Xiaogang
12 Nadjafi-Arani, Mohammad Javad
12 Rodríguez García, José Manuel
12 Rowlinson, Peter
12 Vukičević, Damir
12 Wu, Baoyindureng
12 Zhang, Huihui
11 Belardo, Francesco
11 Cangul, Ismail Naci
11 Fan, Yizheng
11 Fath-Tabar, Gholam Hossein
11 Ghorbani, Modjtaba
11 Gong, Shicai
11 Ji, Shengjin
11 Liu, Weijun
11 Matejić, Marjan M.
11 Mukwembi, Simon
11 Nikiforov, Vladimir S.
11 Pattabiraman, Kannan
11 Wong, Dein
11 Xu, Guang-hui
11 Zhang, Jian-bing
11 Zhang, Shenggui
10 Azari, Mahdieh
10 Dobrynin, Andrey A.
10 Eliasi, Mehdi
10 Estrada, Ernesto
10 Oboudi, Mohammad Reza
10 Palacios, Jose Luis
10 Sciriha, Irene
10 Shiu, Wai Chee
10 Tan, Shangwang
10 Xu, Shoujun
10 Yousefi-Azari, Hassan
9 Akhter, Shehnaz
9 Aouchiche, Mustapha
9 Dankelmann, Peter
9 Ghalavand, Ali
9 Guo, Jiming
...and 2,107 more Authors
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Cited in 218 Serials

369 Discrete Applied Mathematics
364 Linear Algebra and its Applications
198 Applied Mathematics and Computation
141 Journal of Mathematical Chemistry
135 Discrete Mathematics
66 Applied Mathematics Letters
54 Linear and Multilinear Algebra
34 Graphs and Combinatorics
33 Journal of Applied Mathematics and Computing
32 Journal of Mathematical Analysis and Applications
32 European Journal of Combinatorics
32 Discrete Mathematics, Algorithms and Applications
32 Transactions on Combinatorics
31 Journal of Combinatorial Optimization
30 Iranian Journal of Mathematical Chemistry
25 Discussiones Mathematicae. Graph Theory
24 Journal of Inequalities and Applications
22 Computers & Mathematics with Applications
19 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
16 Mathematical and Computer Modelling
15 AKCE International Journal of Graphs and Combinatorics
15 DML. Discrete Mathematics Letters
13 Journal of Combinatorial Theory. Series B
11 Acta Applicandae Mathematicae
11 Applied Mathematics. Series B (English Edition)
11 Symmetry
10 Bulletin of the Australian Mathematical Society
10 Czechoslovak Mathematical Journal
10 Journal of Algebraic Combinatorics
10 Journal of Applied Mathematics
10 Asian-European Journal of Mathematics
10 Palestine Journal of Mathematics
9 ELA. The Electronic Journal of Linear Algebra
9 Discrete Dynamics in Nature and Society
9 The Journal of Prime Research in Mathematics
8 Complexity
8 Advances and Applications in Discrete Mathematics
8 Mathematics
8 Open Mathematics
7 Journal of Combinatorial Theory. Series A
7 Journal of Graph Theory
7 Acta Mathematicae Applicatae Sinica. English Series
7 International Journal of Applied and Computational Mathematics
6 Information Sciences
6 Theoretical Computer Science
6 European Journal of Operational Research
6 International Journal of Computer Mathematics
6 Acta Universitatis Sapientiae. Informatica
5 Information Processing Letters
5 Journal of Computational and Applied Mathematics
5 Advances in Applied Mathematics
5 Combinatorica
5 Acta Mathematica Sinica. English Series
5 Journal of the Indonesian Mathematical Society
5 Discrete Optimization
5 Journal of Mathematics
5 The Art of Discrete and Applied Mathematics
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Statistical Physics
4 Physica A
4 Rocky Mountain Journal of Mathematics
4 Chaos, Solitons and Fractals
4 SIAM Journal on Discrete Mathematics
4 International Journal of Foundations of Computer Science
4 The Australasian Journal of Combinatorics
4 Opuscula Mathematica
4 Mathematical Problems in Engineering
4 Abstract and Applied Analysis
4 RAIRO. Operations Research
4 South East Asian Journal of Mathematics and Mathematical Sciences
4 Online Journal of Analytic Combinatorics
4 Carpathian Mathematical Publications
4 Electronic Journal of Mathematical Analysis and Applications EJMAA
4 Special Matrices
4 Journal of Linear and Topological Algebra
4 Applied Mathematics and Nonlinear Sciences
4 Communications in Combinatorics and Optimization
3 Journal of Mathematical Physics
3 Annales de l’Institut Fourier
3 Networks
3 Transactions of the American Mathematical Society
3 The Annals of Applied Probability
3 Computational and Applied Mathematics
3 Turkish Journal of Mathematics
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
3 Journal of Algebra and its Applications
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Proyecciones
3 Ars Mathematica Contemporanea
3 Journal of Theoretical Biology
3 ISRN Discrete Mathematics
2 Journal of the Franklin Institute
2 Mathematical Notes
2 Advances in Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Statistical Planning and Inference
2 Kyungpook Mathematical Journal
2 Le Matematiche
2 Mathematica Slovaca
...and 118 more Serials
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Cited in 47 Fields

2,210 Combinatorics (05-XX)
477 Biology and other natural sciences (92-XX)
248 Linear and multilinear algebra; matrix theory (15-XX)
67 Computer science (68-XX)
51 Operations research, mathematical programming (90-XX)
32 Number theory (11-XX)
27 Information and communication theory, circuits (94-XX)
24 Probability theory and stochastic processes (60-XX)
24 Statistical mechanics, structure of matter (82-XX)
15 Quantum theory (81-XX)
12 Group theory and generalizations (20-XX)
11 Convex and discrete geometry (52-XX)
9 Real functions (26-XX)
9 Operator theory (47-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Manifolds and cell complexes (57-XX)
8 Numerical analysis (65-XX)
7 Statistics (62-XX)
6 Ordinary differential equations (34-XX)
6 Geometry (51-XX)
5 Mathematical logic and foundations (03-XX)
5 Measure and integration (28-XX)
5 Functional analysis (46-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 History and biography (01-XX)
4 Partial differential equations (35-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
3 Commutative algebra (13-XX)
3 Special functions (33-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
2 Associative rings and algebras (16-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)

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