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Author ID: gutman.ivan-m Recent zbMATH articles by "Gutman, Ivan M."
Published as: Gutman, Ivan; Gutman, I.; Gutman, Ivan M.; Gutman, Iván
Further Spellings: Гутман И
Homepage: http://www.pmf.kg.ac.rs/gutman/
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

89 single-authored
54 Furtula, Boris
46 Das, Kinkar Chandra
24 Li, Xueliang
17 Ramane, Harishchandra S.
16 Rada, Juan
14 Cvetković, Dragoš
14 Zhou, Bo
12 Ashrafi, Ali Reza
12 Petrović, Miroslav Milovan
12 Redžepović, Izudin
12 Robbiano, María
11 Cyvin, Sven J.
11 Milovanović, Emina I.
11 Milovanović, Igor Ž.
10 Dobrynin, Andrey A.
10 Klavžar, Sandi
9 Xu, Kexiang
8 Ali, Akbar
8 Lepović, Mirko
7 Cruz, Roberto
7 Iranmanesh, Ali
7 Radenković, Slavko
7 Yeh, Yeong-Nan
6 Dimitrov, Darko
6 Klobučar, Antoaneta
6 Liu, Bolian
6 Polansky, Oskar E.
6 Vukičević, Damir
6 Walikar, Hanumappa B.
5 Altındağ, Ş. Burcu Bozkurt
5 Borovićanin, Bojana
5 de Abreu, Nair Maria Maia
5 Graovac, Ante
5 Horoldagva, Batmend
5 Mao, Yaping
5 Mojallal, Seyed Ahmad
5 Pavlović, Ljiljana R.
5 Shi, Yongtang
4 Abdo, Hosam
4 Balachandran, Selvaraj
4 Çevik, Ahmet Sinan
4 de la Peña, José Antonio
4 Dehmer, Matthias
4 Fath-Tabar, Gholam Hossein
4 Hou, Yaoping
4 Indulal, Gopalapillai
4 Jog, Sudhir Raghunath
4 Majstorović, Snježana
4 Miljković, Olga
4 Nagypál, István
4 Pirzada, Shariefuddin
4 Réti, Tamás
4 San Martín Rebolledo, Bernardo
4 Sciriha, Irene
4 Su, Guifu
3 Acharya, Belmannu Devadas
3 Ahmadi, Mohammad Bagher
3 Andrade Martins, Enide
3 Ayyaswamy, Singaraj Kulandaiswamy
3 Brunvoll, Jon
3 Cardoso, Domingos Moreira
3 Cyvin, Bjørg N.
3 Dress, Andreas W. M.
3 Feng, Lihua
3 Fishtik, Ilie
3 Gong, Shicai
3 Goubko, Mikhail V.
3 Hampiholi, Prabhakar R.
3 Hosseini, Seyyed Aliasghar
3 Hosseinzadeh, Mohammad Ali
3 Hua, Hongbo
3 Li, Shuchao
3 Liu, Muhuo
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 Wang, Zhao
3 Xiao, Wenjun
3 Zhang, Jianbin
3 Žigert Pleteršek, Petra
2 Adiga, Chandrashekar
2 Akbari, Saieed
2 Albalahi, Abeer M.
2 Aleksić, Tatjana M.
2 Alex, Liju
2 Alwardi, Anwar
2 Araujo, Oswaldo G.
2 Arsić, Branko
2 Bonifácio, Andréa Soares
2 Buyantogtokh, Lkhagva
2 Cangul, Ismail Naci
2 Cash, Gordon G.
2 Chen, Jiann-Cherng
2 Chen, Xiaodan
2 Dankelmann, Peter
...and 355 more Co-Authors
all top 5

Serials

144 MATCH - Communications in Mathematical and in Computer Chemistry
48 Match
36 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
29 Publications de l’Institut Mathématique. Nouvelle Série
29 Journal of Mathematical Chemistry
26 Linear Algebra and its Applications
25 Kragujevac Journal of Mathematics
24 Discrete Applied Mathematics
22 Applied Mathematics and Computation
16 Iranian Journal of Mathematical Chemistry
10 Discrete Mathematics
10 Applied Mathematics Letters
10 Zbornik Radova, Prirodno-Matematickog Fakulteta, Univerzitet u Kragujevcu
9 Bulletin of the International Mathematical Virtual Institute
8 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika
8 Filomat
8 Transactions on Combinatorics
7 DML. Discrete Mathematics Letters
5 Linear and Multilinear Algebra
5 Applicable Analysis and Discrete Mathematics
5 Communications in Combinatorics and Optimization
4 Acta Applicandae Mathematicae
3 Utilitas Mathematica
3 Discussiones Mathematicae. Graph Theory
3 Hacettepe Journal of Mathematics and Statistics
3 AKCE International Journal of Graphs and Combinatorics
3 Iranian Journal of Mathematical Sciences and Informatics
3 Contributions to Mathematics
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 Zbornik Radova (Beograd)
2 Mathematical Chemistry Monographs
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 Computational and Applied Mathematics
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 Acta Mathematica Sinica. English Series
1 Journal of Applied Mathematics and Computing
1 South East Asian Journal of Mathematics and Mathematical Sciences
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 Applied and Computational Mathematics
1 Ars Mathematica Contemporanea
1 Journal of the International Mathematical Virtual Institute
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 Open

501 Publications have been cited 11,074 times in 4,116 Documents Cited by Year
Mathematical concepts in organic chemistry. Zbl 0657.92024
Gutman, Ivan; Polansky, Oskar E.
489
1986
The energy of a graph. Zbl 0402.05040
Gutman, Ivan
478
1978
Wiener index of trees: Theory and applications. Zbl 0982.05044
Dobrynin, Andrey A.; Entringer, Roger; Gutman, Ivan
463
2001
Graph energy. Zbl 1262.05100
Li, Xueliang; Shi, Yongtang; Gutman, Ivan
419
2012
The first Zagreb index 30 years after. Zbl 1053.05115
Gutman, Ivan; Das, Kinkar Ch.
283
2004
The energy of a graph: Old and new results. Zbl 0974.05054
Gutman, Ivan
278
2001
A forgotten topological index. Zbl 1317.05031
Furtula, Boris; Gutman, Ivan
209
2015
Laplacian energy of a graph. Zbl 1092.05045
Gutman, Ivan; Zhou, Bo
193
2006
Recent results in the theory of graph spectra. Zbl 0634.05054
Cvetković, Dragos M.; Doob, Michael; Gutman, Ivan; Torgašev, Aleksandar
172
1988
Mathematical aspects of Randić-type molecular structure descriptors. Zbl 1294.92032
Li, Xueliang; Gutman, Ivan
164
2006
Wiener index of hexagonal systems. Zbl 0993.05059
Dobrynin, Andrey A.; Gutman, Ivan; Klavžar, Sandi; Žigert, Petra
149
2002
Geometric approach to degree-based topological indices: Sombor indices. Zbl 1474.92154
Gutman, Ivan
136
2021
A survey on graphs extremal with respect to distance-based topological indices. Zbl 1464.05140
Xu, Kexiang; Liu, Muhuo; Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
128
2014
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.
117
1989
On the theory of the matching polynomial. Zbl 0462.05051
Godsil, C. D.; Gutman, I.
110
1981
Some properties of the second Zagreb index. Zbl 1077.05094
Das, Kinkar Ch.; Gutman, Ivan
105
2004
Recent results in the theory of Randić index. Zbl 1294.05002
96
2008
On distance energy of graphs. Zbl 1199.05226
Indulal, Gopalapillai; Gutman, Ivan; Vijayakumar, Ambat
94
2008
Bounds for Zagreb indices. Zbl 1471.92406
Borovićanin, Bojana; Das, Kinkar Ch.; Furtula, Boris; Gutman, Ivan
93
2017
Generalizations of the matching polynomial. Zbl 0527.05055
Gutman, Ivan; Harary, Frank
89
1983
On structure-sensitivity of degree-based topological indices. Zbl 1308.92029
Furtula, Boris; Gutman, Ivan; Dehmer, Matthias
89
2013
Estimating the Estrada index. Zbl 1184.05082
de la Peña, José Antonio; Gutman, Ivan; Rada, Juan
87
2007
Graph energy. Zbl 1256.05140
Gutman, Ivan; Li, Xueliang; Zhang, Jianbin
84
2009
The algebraic multiplicity of the number zero in the spectrum of a bipartite graph. Zbl 0263.05125
Cvetkovic, Dragos M.; Gutman, Ivan M.
79
1972
Multiplicative versions of first Zagreb index. Zbl 1289.05062
Eliasi, Mehdi; Iranmanesh, Ali; Gutman, Ivan
73
2012
The Szeged and the Wiener index of graphs. Zbl 0903.05020
Kalvžar, S.; Rajapakse, A.; Gutman, I.
69
1996
On the nullity of line graphs of trees. Zbl 0971.05070
Gutman, Ivan; Sciriha, Irene
69
2001
Eccentric connectivity index of chemical trees. Zbl 1289.05123
Ilić, Aleksandar; Gutman, Ivan
67
2011
Maxima and minima of the Hosoya index and the Merrifield-Simmons index. Zbl 1201.92068
Wagner, Stephan; Gutman, Ivan
66
2010
Randić matrix and Randić energy. Zbl 1265.05113
Bozkurt, Š. Burcu; Güngör, A. Dilek; Gutman, Ivan; Čevik, A. Sinan
65
2010
On Zagreb indices and coindices. Zbl 1462.05083
Gutman, Ivan; Furtula, Boris; Kovijanić Vukićević, Žana; Popivoda, Goran
62
2015
Sombor index of chemical graphs. Zbl 1508.05028
Cruz, Roberto; Gutman, Ivan; Rada, Juan
62
2021
On the sum of all distances in composite graphs. Zbl 0814.05033
Yeh, Yeong-Nan; Gutman, Ivan
58
1994
Further properties of Zagreb indices. Zbl 1087.05057
Zhou, Bo; Gutman, Ivan
57
2005
Topological approach to the chemistry of conjugated molecules. Zbl 0385.05032
Graovac, Ante; Gutman, Ivan; Trinajstic, Nenad
56
1977
Trees with maximum nullity. Zbl 1068.05015
Fiorini, Stanley; Gutman, Ivan; Sciriha, Irene
56
2005
Three new/old vertex-degree-based topological indices. Zbl 1464.05076
Gutman, Ivan; Furtula, Boris; Elphick, Clive
56
2014
Survey on geometric-arithmetic indices of graphs. Zbl 1265.05004
Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
54
2011
On Randić energy. Zbl 1282.05118
Gutman, Ivan; Furtula, Boris; Bozkurt, Ş. Burcu
54
2014
On difference of Zagreb indices. Zbl 1300.05066
Furtula, Boris; Gutman, Ivan; Ediz, Süleyman
52
2014
Sum of powers of the degrees of graphs: extremal results and bounds. Zbl 1468.05288
Ali, Akbar; Gutman, Ivan; Milovanović, Emina; Milovanović, Igor
52
2018
Multiplicative Zagreb indices of trees. Zbl 1265.05099
Gutman, Ivan
48
2011
On incidence energy of graphs. Zbl 1199.05221
Gutman, Ivan; Kiani, Dariush; Mirzakhah, Maryam
48
2009
Harmonic index and its generalizations: extremal results and bounds. Zbl 1471.92402
Ali, Akbar; Zhong, Lingping; Gutman, Ivan
48
2019
On vertex-degree-based molecular structure descriptors. Zbl 1265.05144
Doslić, Tomislav; Furtula, Boris; Graovac, Ante; Gutman, Ivan; Moradi, Sirous; Yarahmadi, Zahra
47
2011
Note on the HOMO-LUMO index of graphs. Zbl 1299.05225
Li, Xueliang; Li, Yiyang; Shi, Yongtang; Gutman, Ivan
47
2013
The matching energy of a graph. Zbl 1252.05120
Gutman, Ivan; Wagner, Stephan
45
2012
The edge-Wiener index of a graph. Zbl 1188.05059
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
45
2009
From the connectivity index to various Randić-type descriptors. Zbl 1468.05136
Ma, Yuede; Cao, Shujuan; Shi, Yongtang; Gutman, Ivan; Dehmer, Matthias; Furtula, Boris
45
2018
On Wiener index of common neighborhood graphs. Zbl 1464.05089
Knor, Martin; Lužar, Borut; Škrekovski, Riste; Gutman, Ivan
44
2014
Beyond the Zagreb indices. Zbl 1473.05062
Gutman, Ivan; Milovanović, Emina; Milovanović, Igor
44
2020
Zagreb energy and Zagreb Estrada index of graphs. Zbl 1472.92334
Rad, Nader Jafari; Jahanbani, Akbar; Gutman, Ivan
43
2018
On incidence energy of a graph. Zbl 1175.05084
Gutman, Ivan; Kiani, Dariush; Mirzakhah, Maryam; Zhou, Bo
42
2009
Degree-based energies of graphs. Zbl 1392.05073
Das, Kinkar Ch.; Gutman, Ivan; Milovanović, Igor; Milovanović, Emina; Furtula, Boris
42
2018
Kragujevac trees with minimal atom-bond connectivity index. Zbl 1464.05082
Hosseini, Seyyed A.; Ahmadi, Mohammad B.; Gutman, Ivan
42
2014
A note on Laplacian energy of graphs. Zbl 1199.05256
Zhou, Bo; Gutman, Ivan; Aleksić, Tatjana
41
2008
On graphs whose spectral radius does not exceed \((2+\sqrt{5})^{1/2}\). Zbl 0504.05040
Cvetkovic, Dragos; Doob, Michael; Gutman, Ivan
41
1982
An exceptional property of first Zagreb index. Zbl 1464.05074
Gutman, Ivan
41
2014
Degree resistance distance of unicyclic graphs. Zbl 1301.05103
Gutman, Ivan; Feng, Lihua; Yu, Guihai
40
2012
Bounds for the signless Laplacian energy. Zbl 1222.05143
Abreu, Nair; Cardoso, Domingos M.; Gutman, Ivan; Martins, Enide A.; Robbiano, Marıá
39
2011
A connection between ordinary and Laplacian spectra of bipartite graphs. Zbl 1163.05043
Zhou, Bo; Gutman, Ivan
39
2008
Wiener number of vertex-weighted graphs and a chemical application. Zbl 0889.05046
Klavžar, Sandi; Gutman, Ivan
37
1997
The Estrada index: an updated survey. Zbl 1289.05288
Gutman, Ivan; Deng, Hanyuan; Radenković, Slavko
36
2011
Notes on trees with minimal atom-bond connectivity index. Zbl 1289.05063
Gutman, Ivan; Furtula, Boris; Ivanović, Miloš
36
2012
Inverse problem for sigma index. Zbl 1472.92306
Gutman, Ivan; Togan, Muge; Yurttas, Aysun; Cevik, Ahmet Sinan; Cangul, Ismail Naci
36
2018
On the ordering of graphs with respect to their matching numbers. Zbl 0646.05049
Gutman, Ivan; Zhang, Fuji
35
1986
Terminal Wiener index. Zbl 1310.05075
Gutman, Ivan; Furtula, Boris; Petrović, Miroslav
34
2009
Note on Estrada and \(L\)-Estrada indices of graphs. Zbl 1274.05292
Fath-Tabar, G. H.; Ashrafi, A. R.; Gutman, I.
34
2009
On the matching polynomial of a graph. Zbl 0476.05060
Godsil, C. D.; Gutman, I.
34
1981
Sombor index: review of extremal results and bounds. Zbl 1492.92156
Liu, Hechao; Gutman, Ivan; You, Lihua; Huang, Yufei
34
2022
On Laplacian energy. Zbl 1299.05212
Das, Kinkar Ch.; Gutman, Ivan; Çevik, A. Sinan; Zhou, Bo
34
2013
The ABC index conundrum. Zbl 1409.05063
Gutman, Ivan; Furtula, Boris; Ahmadi, Mohammad B.; Hosseini, Seyyed A.; Nowbandegani, Pouria Salehi; Zarrinderakht, Maryam
34
2013
On the degree distance of a graph. Zbl 1209.05069
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
33
2009
Improving McClelland’s lower bound for energy. Zbl 1299.05213
Das, Kinkar Ch.; Mojallal, S. A.; Gutman, Ivan
33
2013
The Steiner Wiener index of a graph. Zbl 1334.05027
Li, Xueliang; Mao, Yaping; Gutman, Ivan
33
2016
Nullity of graphs: an updated survey. Zbl 1289.05287
Gutman, Ivan; Borovićanin, Bojana
31
2011
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
31
2010
The edge versions of the Wiener index. Zbl 1224.05144
Iranmanesh, Ali; Gutman, Ivan; Khormali, Omid; Mahmiani, Anehgaldi
31
2009
The branching extent of graphs. Zbl 0461.05057
Ruch, Ernst; Gutman, Ivan
31
1979
On the first geometric-arithmetic index of graphs. Zbl 1244.05066
Das, K. Ch.; Gutman, I.; Furtula, B.
31
2011
On the maximum ABC index of graphs without pendent vertices. Zbl 1426.05082
Shao, Zehui; Wu, Pu; Gao, Yingying; Gutman, Ivan; Zhang, Xiujun
31
2017
New upper bounds on Zagreb indices. Zbl 1200.92048
Das, Kinkar Ch.; Gutman, Ivan; Zhou, Bo
30
2009
The matching polynomial. Zbl 0436.05053
Gutman, Ivan
30
1979
On Zagreb and Harary indices. Zbl 1299.05035
Das, Kinkar Ch.; Xu, Kexiang; Gutman, Ivan
30
2013
Borderenergetic graphs. Zbl 1462.05225
Gong, Shicai; Li, Xueliang; Xu, Guanghui; Gutman, Ivan; Furtula, Boris
30
2015
Energy of line graphs. Zbl 1194.05137
Gutman, Ivan; Robbiano, María; Martins, Enide Andrade; Cardoso, Domingos M.; Medina, Luis; Rojo, Oscar
29
2010
Trees with smallest atom-bond connectivity index. Zbl 1289.05047
Gutman, Ivan; Furtula, Boris
29
2012
On the distance spectra of some graphs. Zbl 1140.05026
Indulal, Gopalapillai; Gutman, Ivan
29
2008
Unicyclic graphs with maximal energy. Zbl 1015.05052
Hou, Yaoping; Gutman, Ivan; Woo, Ching-Wah
29
2002
On the energy of regular graphs. Zbl 1150.05024
Gutman, Ivan; Zare Firoozabadi, Sanaz; de la Peña, José Antonio; Rada, Juan
27
2007
On the Merrifield-Simmons index of trees. Zbl 1084.05018
Li, Xueliang; Zhao, Haixing; Gutman, Ivan
27
2005
On Hosoya polynomials of benzenoid graphs. Zbl 1030.05113
Gutman, Ivan; Klavžar, Sandi; Petkovšek, Marko; Žigert, Petra
27
2001
Some graphs with extremal Szeged index. Zbl 0953.05023
Simić, Slobodan; Gutman, Ivan; Baltić, Vladimir
26
2000
Computer search for trees with minimal ABC index. Zbl 1285.05028
Furtula, Boris; Gutman, Ivan; Ivanović, Miloš; Vukičević, Damir
26
2012
No starlike trees are cospectral. Zbl 0992.05054
Lepović, Mirko; Gutman, Ivan
26
2002
Randić spectral radius and Randić energy. Zbl 1265.05351
Bozkurt, Ş. Burcu; Güngör, A. Dilek; Gutman, Ivan
25
2010
Degree Kirchhoff index of unicyclic graphs. Zbl 1299.05054
Feng, Lihua; Gutman, Ivan; Yu, Guihai
25
2013
Disproving a conjecture on trees with minimal atom-bond connectivity index. Zbl 1465.05032
Ahmadi, Mohammad Bagher; Dimitrov, Darko; Gutman, Ivan; Hosseini, Seyyed Aliasghar
25
2014
On atom-bond connectivity index. Zbl 1289.05061
Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
24
2012
On graphs whose energy exceeds the number of vertices. Zbl 1226.05155
Gutman, Ivan
24
2008
On topological indices and their reciprocals. Zbl 1536.92178
Gutman, Ivan; Furtula, Boris; Redžepović, Izudin
9
2024
Minimum of product of Wiener and Harary indices. Zbl 1544.92230
Azjargal, Enkhbayar; Horoldagva, Batmend; Gutman, Ivan
3
2024
Editorial. Zbl 07833938
2
2024
On the difference of atom-bond sum-connectivity and atom-bond-connectivity indices. Zbl 1536.92177
Ali, Akbar; Gutman, Ivan; Redžepović, Izudin; Mazorodze, Jaya Percival; Albalahi, Abeer M.; Hamza, Amjad E.
2
2024
Extremal results and bounds for atom-bond sum-connectivity index. Zbl 1544.92229
Ali, Akbar; Gutman, Ivan; Furtula, Boris; Redžepović, Izudin; Došlić, Tomislav; Raza, Zahid
1
2024
Sombor index of some graph transformations. Zbl 1524.05066
Ramane, Harishchandra S.; Gutman, Ivan; Bhajantri, Kavita; Kitturmath, Deepa V.
6
2023
New bounds on Sombor index. Zbl 1524.05046
Gutman, Ivan; Gürsoy, Necla Kircali; Gürsoy, Arif; Ülker, Alper
6
2023
Symmetric division deg index: extremal results and bounds. Zbl 1519.92349
Ali, Akbar; Gutman, Ivan; Redžepović, Izudin; Albalahi, Abeer M.; Raza, Zahid; Hamza, Amjad E.
5
2023
On (exponential) bond incident degree indices of graphs. Zbl 1515.05051
Wei, Peichao; Liu, Muhuo; Gutman, Ivan
3
2023
Proofs to some open problems on the maximum Sombor index of graphs. Zbl 1538.05053
Hayat, Sakander; Arshad, Muhammad; Gutman, Ivan
3
2023
Irregularity Sombor index. Zbl 1532.05043
Gutman, Ivan; Kulli, Veerabhadrappa R.; Redžepović, Izudin
1
2023
Irregularity of graphs. Zbl 1505.92277
Dorjsembe, Shiikhar; Buyantogtokh, Lkhagva; Gutman, Ivan; Horoldagva, Batmend; Réti, Tamás
1
2023
Characterizing graphs with nullity \(n-4\). Zbl 1520.92102
Poojary, Raksha; Bhat, K. Arathi; Karantha, Manjunatha Prasad; Arumugam, S.; Gutman, Ivan
1
2023
Sombor index: review of extremal results and bounds. Zbl 1492.92156
Liu, Hechao; Gutman, Ivan; You, Lihua; Huang, Yufei
34
2022
On Sombor index of trees. Zbl 1510.05037
Das, Kinkar Chandra; Gutman, Ivan
24
2022
Atom-bond sum-connectivity index. Zbl 1498.05065
Ali, Akbar; Furtula, Boris; Redžepović, Izudin; Gutman, Ivan
19
2022
On bond incident degree indices of \((n,m)\)-graphs. Zbl 1498.92324
Ali, Akbar; Gutman, Ivan; Saber, Hicham; Alanazi, Abdulaziz M.
10
2022
Energy of graphs with self-loops. Zbl 1492.92151
Gutman, Ivan; Redžepović, Izudin; Furtula, Boris; Sahal, Ali Mohammed
10
2022
Comparing energy and Sombor energy – an empirical study. Zbl 1498.92340
Redžepović, Izudin; Gutman, Ivan
9
2022
Relating graph energy and Sombor index. Zbl 1513.05113
Ülker, Alper; Gürsoy, Arif; Gürsoy, Necla Kırcalı; Gutman, Ivan
9
2022
A relation between a vertex-degree-based topological index and its energy. Zbl 1480.05030
Gutman, Ivan; Monsalve, Juan; Rada, Juan
8
2022
On the difference between atom-bond sum-connectivity and sum-connectivity indices. Zbl 1506.05051
Gowtham, Kalkere Jayanna; Gutman, Ivan
8
2022
Comparison between Merrifield-Simmons index and Wiener index of graphs. Zbl 1512.05102
Xu, Ke Xiang; Das, Kinkar Chandra; Gutman, Ivan; Wang, Meng Lu
6
2022
Hosoya index of VDB-weighted graphs. Zbl 1490.05036
Cruz, Roberto; Gutman, Ivan; Rada, Juan
2
2022
Geometric approach to degree-based topological indices: Sombor indices. Zbl 1474.92154
Gutman, Ivan
136
2021
Sombor index of chemical graphs. Zbl 1508.05028
Cruz, Roberto; Gutman, Ivan; Rada, Juan
62
2021
Augmented Zagreb index: extremal results and bounds. Zbl 1473.92051
Ali, Akbar; Furtula, Boris; Gutman, Ivan; Vukičević, Damir
16
2021
Comparing degree-based energies of trees. Zbl 1538.05171
Gutman, Ivan
5
2021
Relating energy and Sombor energy. Zbl 1538.05172
Gutman, Ivan; Redžepović, Izudin; Rada, Juan
5
2021
Relation between geometric-arithmetic and arithmetic-geometric indices. Zbl 1467.92252
Gutman, Ivan
5
2021
Gutman index – a critical personal account. Zbl 1476.05034
Gutman, Ivan
2
2021
On graphs preserving PI index upon edge removal. Zbl 1470.05038
Indulal, Gopalapillai; Alex, Liju; Gutman, Ivan
2
2021
Computing the dependence of graph energy on nullity: the method of siblings. Zbl 1513.05245
Gutman, Ivan
1
2021
Energy of monad graphs. Zbl 1499.05397
Shukur, Ali; Gutman, Ivan
1
2021
On reformulated reciprocal product-degree distance. Zbl 1473.92101
Su, Guifu; Xu, Lan; Chen, Zhibing; Gutman, Ivan
1
2021
On distance-based graph invariants. Zbl 1474.92145
Das, Kinkar Ch.; Mao, Yaping; Gutman, Ivan
1
2021
Upper bounds on distance energy. Zbl 1474.92144
Das, Kinkar Chandra; Gutman, Ivan
1
2021
Beyond the Zagreb indices. Zbl 1473.05062
Gutman, Ivan; Milovanović, Emina; Milovanović, Igor
44
2020
Sombor index – one year later. Zbl 1476.05033
Gutman, Ivan
10
2020
Orderenergetic graphs. Zbl 1473.92049
Akbari, Saieed; Ghahremani, Maryam; Gutman, Ivan; Koorepazan-Moftakhar, Fatemah
10
2020
Lower bounds for inverse sum indeg index of graphs. Zbl 1488.05094
Gutman, I.; Matejić, M.; Milovanović, E.; Milovanović, I.
9
2020
On complementary equienergetic strongly regular graphs. Zbl 1463.05351
Ramane, Harishchandra S.; Ashoka, K.; Parvathalu, Bolle; Patil, Daneshwari; Gutman, Ivan
6
2020
Bounds on graph energy. Zbl 1463.05333
Gutman, Ivan; Oboudi, Mohammad Reza
5
2020
Variations on McClelland’s bound for graph energy. Zbl 1463.05332
Gutman, Ivan; Filipovski, Slobodan; Jajcay, Robert
2
2020
Cycle energy and its size dependence. Zbl 1443.05113
Gutman, Ivan
1
2020
Comparing eccentricity-based graph invariants. Zbl 1446.05023
Hua, Hongbo; Wang, Hongzhuan; Gutman, Ivan
1
2020
Relating total \(\pi\)-electron energy of benzenoid hydrocarbons with HOMO and LOMO energies. Zbl 1473.92098
Redžepović, Izudin; Furtula, Boris; Gutman, Ivan
1
2020
New upper and lower bounds for some degree-based graph invariants. Zbl 1488.05090
Ghalav, A.; Ashrafi, A.; Gutman, I.
1
2020
Harmonic index and its generalizations: extremal results and bounds. Zbl 1471.92402
Ali, Akbar; Zhong, Lingping; Gutman, Ivan
48
2019
Linear and non-linear inequalities on the inverse sum indeg index. Zbl 1407.05058
Gutman, Ivan; Rodríguez, José M.; Sigarreta, José M.
13
2019
Graph irregularity and its measures. Zbl 1428.05300
Abdo, Hosam; Dimitrov, Darko; Gutman, Ivan
11
2019
On path energy of graphs. Zbl 1471.92400
Akbari, Saieed; Ghodrati, Amir Hossein; Gutman, Ivan; Hosseinzadeh, Mohammad Ali; Konstantinova, Elena V.
11
2019
Inverse problem for Zagreb indices. Zbl 1414.92229
Yurtas, Aysun; Togan, Muge; Lokesha, Veerebradiah; Cangul, Ismail Naci; Gutman, Ivan
10
2019
Graph energies and their applications. Zbl 1467.05156
Gutman, Ivan; Furtula, Boris
10
2019
Comparing Laplacian energy and Kirchhoff index. Zbl 1471.92416
Das, Kinkar Ch.; Gutman, Ivan
6
2019
Some new lower bounds for augmented Zagreb index. Zbl 1428.05059
Furtula, Boris; Gutman, Ivan; Matejić, Marjan; Milovanović, Emina; Milovanović, Igor
2
2019
A novel method to construct NSSD molecular graphs. Zbl 1435.05129
Hayat, Umar; Umer, Mubasher; Gutman, Ivan; Davvaz, Bijan; Nolla de Celis, Álvaro
2
2019
Sum of powers of the degrees of graphs: extremal results and bounds. Zbl 1468.05288
Ali, Akbar; Gutman, Ivan; Milovanović, Emina; Milovanović, Igor
52
2018
From the connectivity index to various Randić-type descriptors. Zbl 1468.05136
Ma, Yuede; Cao, Shujuan; Shi, Yongtang; Gutman, Ivan; Dehmer, Matthias; Furtula, Boris
45
2018
Zagreb energy and Zagreb Estrada index of graphs. Zbl 1472.92334
Rad, Nader Jafari; Jahanbani, Akbar; Gutman, Ivan
43
2018
Degree-based energies of graphs. Zbl 1392.05073
Das, Kinkar Ch.; Gutman, Ivan; Milovanović, Igor; Milovanović, Emina; Furtula, Boris
42
2018
Inverse problem for sigma index. Zbl 1472.92306
Gutman, Ivan; Togan, Muge; Yurttas, Aysun; Cevik, Ahmet Sinan; Cangul, Ismail Naci
36
2018
Total domination and open packing in some chemical graphs. Zbl 1390.92162
Gao, Yingying; Zhu, Enqiang; Shao, Zehui; Gutman, Ivan; Klobučar, Antoaneta
20
2018
Randić index and information. Zbl 1403.05030
Gutman, Ivan; Furtula, Boris; Katanić, Vladimir
19
2018
Inverse problem on the Steiner Wiener index. Zbl 1377.05049
Li, Xueliang; Mao, Yaping; Gutman, Ivan
18
2018
Graphs with maximal \(\sigma\) irregularity. Zbl 1398.05064
Abdo, Hosam; Dimitrov, Darko; Gutman, Ivan
17
2018
Stepwise irregular graphs. Zbl 1428.05061
Gutman, Ivan
12
2018
Leap Zagreb indices of trees and unicyclic graphs. Zbl 1395.05046
Shao, Zehui; Gutman, Ivan; Li, Zepeng; Wang, Shaohui; Wu, Pu
11
2018
On path eigenvalues and path energy of graphs. Zbl 1472.92340
Shikare, Maruti M.; Malavadkar, Prashant P.; Patekar, Shridhar C.; Gutman, Ivan
8
2018
On Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs. Zbl 1392.05072
Das, Kinkar Ch.; Gutman, Ivan
6
2018
Relations between total irregularity and non-self-centrality of graphs. Zbl 1427.05122
Xu, Kexiang; Gu, Xiaoqian; Gutman, Ivan
6
2018
Extremal graphs for the second multiplicative Zagreb index. Zbl 1438.05053
Ghalavand, Ali; Ashrafi, Ali Reza; Gutman, Ivan
5
2018
Relations between ordinary and multiplicative degree-based topological indices. Zbl 1499.05123
Gutman, Ivan; Milovanović, Igor; Milovanović, Emina
4
2018
Topological indices and irregularity measures. Zbl 1438.05055
Gutman, Ivan
3
2018
Hyper-Wiener and Wiener polarity indices of silicate and oxide frameworks. Zbl 1390.92160
Arockiaraj, Micheal; Kavitha, S. Ruth Julie; Balasubramanian, Krishnan; Gutman, Ivan
2
2018
Relationships between some distance-based topological indices. Zbl 1499.05128
Hua, Hongbo; Gutman, Ivan; Wang, Hongzhuan; Das, Kinkar Ch.
2
2018
Note on irregular graphs. Zbl 1467.05036
Gutman, Ivan; Réti, Tamás
2
2018
On Zagreb indices and coindices of cluster graphs. Zbl 1438.05057
Jummannaver, Raju B.; Gutman, Ivan; Mundewadi, Ravikiran A.
1
2018
Bounds for Zagreb indices. Zbl 1471.92406
Borovićanin, Bojana; Das, Kinkar Ch.; Furtula, Boris; Gutman, Ivan
93
2017
On the maximum ABC index of graphs without pendent vertices. Zbl 1426.05082
Shao, Zehui; Wu, Pu; Gao, Yingying; Gutman, Ivan; Zhang, Xiujun
31
2017
On leap Zagreb indices of graphs. Zbl 1386.05034
Gutman, Ivan; Naji, Ahmed M.; Soner, Nandappa D.
21
2017
On extremal trees with respect to the F-index. Zbl 1463.05071
Abdo, Hosam; Dimitrov, Darko; Gutman, Ivan
17
2017
Graphs with smallest forgotten index. Zbl 1406.92762
Gutman, I.; Ghalavand, A.; Dehghan-Zadeh, T.; Ashrafi, A. R.
16
2017
Cacti with \(n\)-vertices and \(t\) cycles having extremal Wiener index. Zbl 1372.05058
Gutman, Ivan; Li, Shuchao; Wei, Wei
15
2017
On spectral radius and energy of extended adjacency matrix of graphs. Zbl 1411.05157
Das, Kinkar Ch.; Gutman, Ivan; Furtula, Boris
15
2017
On ABC index of graphs. Zbl 1471.92415
Das, Kinkar Ch.; Elumalai, Suresh; Gutman, Ivan
12
2017
Graph polynomials. Zbl 1362.05003
Shi, Yongtang; Dehmer, Matthias; Li, Xueliang; Gutman, Ivan
11
2017
Nordhaus-Gaddum-type results for the Steiner Wiener index of graphs. Zbl 1354.05041
Mao, Yaping; Wang, Zhao; Gutman, Ivan; Li, He
10
2017
On Banhatti and Zagreb indices. Zbl 1412.05043
Gutman, I.; Kulli, V. R.; Chaluvaraju, B.; Boregowda, H. S.
10
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
9
2017
Normalized Laplacian eigenvalues and Randić energy of graphs. Zbl 1466.92254
Das, Kinkar Ch.; Sun, Shaowei; Gutman, Ivan
9
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
8
2017
Inverse degree, Randić index and harmonic index of graphs. Zbl 1499.05115
Das, Kinkar Ch.; Balachandran, Selvaraj; Gutman, Ivan
8
2017
On harmonic index of trees. Zbl 1471.92457
Rasi, Reza; Sheikholeslami, Seyed Mahmoud; Gutman, Ivan
8
2017
Borderenergetic graphs of order 12. Zbl 1406.92759
Furtula, Boris; Gutman, Ivan
7
2017
Steiner degree distance. Zbl 1471.92449
Mao, Yaping; Wang, Zhao; Gutman, Ivan; Klobučar, Antoaneta
7
2017
On coindices of graphs and their complements. Zbl 1411.05073
Gutman, Ivan
6
2017
On hyper-Zagreb index and coindex. Zbl 1474.05073
Gutman, Ivan
6
2017
Resolvent energy of unicyclic, bicyclic and tricyclic graphs. Zbl 1466.92241
Allem, Luiz Emilio; Capaverde, Juliane; Trevisan, Vilmar; Gutman, Ivan; Zogić, Emir; Glogić, Edin
6
2017
Some results for the (signless) Laplacian resolvent. Zbl 1466.92246
Cafure, Antonio; Jaume, Daniel A.; Grippo, Luciano N.; Pastine, Adrián; Safe, Martín D.; Trevisan, Vilmar; Gutman, Ivan
6
2017
...and 401 more Documents
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Cited by 3,714 Authors

173 Gutman, Ivan M.
127 Das, Kinkar Chandra
81 Li, Xueliang
79 Li, Shuchao
62 Zhou, Bo
60 Ashrafi, Ali Reza
58 Rada, Juan
55 Ali, Akbar
55 Milovanović, Igor Ž.
54 Milovanović, Emina I.
54 Pirzada, Shariefuddin
46 Klavžar, Sandi
45 Liu, Jia-bao
45 Zhang, Heping
42 Matejić, Marjan M.
41 Deng, Hanyuan
38 Ramane, Harishchandra S.
38 Wang, Hua
37 Farahani, Mohammad Reza
37 Ganie, Hilal Ahmad
37 Zhang, Fuji
36 Dehmer, Matthias
36 Du, Zhibin
35 Imran, Muhammad
35 Škrekovski, Riste
35 Xu, Kexiang
32 Ilić, Aleksandar
32 Sigarreta Almira, José María
31 Furtula, Boris
30 Hua, Hongbo
30 Zhang, Xiaodong
29 Rodríguez García, José Manuel
29 Shi, Yongtang
29 Wang, Jianfeng
28 Dimitrov, Darko
28 Liu, Bolian
28 Stevanović, Dragan
28 Wagner, Stephan Georg
28 Wang, Ligong
28 Yan, Weigen
27 Balachandran, Selvaraj
27 Cangul, Ismail Naci
27 Došlić, Tomislav
27 Jahanbani, Akbar
27 Liu, Hechao
27 Liu, Muhuo
27 Trevisan, Vilmar
26 Feng, Lihua
26 Ghorbani, Modjtaba
26 Rather, Bilal Ahmad
25 Azari, Mahdieh
25 Cvetković, Dragoš
25 Knor, Martin
24 Simić, Slobodan K.
23 Belardo, Francesco
23 Chen, Xiaodan
23 Trinajstić, Nenad
22 Elumalai, Suresh
22 Hansen, Pierre
22 Robbiano, María
22 Wu, Baoyindureng
22 Yu, Guihai
21 Hou, Yaoping
20 Chen, Hanlin
20 Gao, Wei
20 Ghalavand, Ali
20 Oboudi, Mohammad Reza
20 Siddiqui, Muhammad Kamran
20 Vetrík, Tomáš
20 Wong, Dein
19 Akbari, Saieed
19 Cancan, Murat
19 Cruz, Roberto
19 Wu, Tingzeng
18 Altındağ, Ş. Burcu Bozkurt
18 Basavanagoud, Bommanahal
17 Baghipur, Maryam
17 Hasni, Roslan
17 Wang, Wenhuan
16 Dankelmann, Peter
16 Emmert-Streib, Frank
16 Iranmanesh, Ali
16 Pan, Xiangfeng
16 Raza, Zahid
16 Sciriha, Irene
16 Tavakoli, Mostafa
16 Wang, Shaohui
16 Zhang, Huihui
15 Alhevaz, Abdollah
15 Brown, Jason Ira
15 Fan, Yizheng
15 Fath-Tabar, Gholam Hossein
15 Gong, Shicai
15 Huang, Qiongxiang
15 Javaid, Muhammad Bin
15 Li, Jianxi
15 Rakshith, B. R.
15 Rowlinson, Peter
15 Sheikholeslami, Seyed Mahmoud
15 Tang, Zikai
...and 3,614 more Authors
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Cited in 337 Serials

500 Discrete Applied Mathematics
457 Linear Algebra and its Applications
290 Applied Mathematics and Computation
179 Discrete Mathematics
177 Journal of Mathematical Chemistry
122 MATCH - Communications in Mathematical and in Computer Chemistry
97 Linear and Multilinear Algebra
79 Discrete Mathematics, Algorithms and Applications
73 Journal of Applied Mathematics and Computing
68 Applied Mathematics Letters
58 Transactions on Combinatorics
57 DML. Discrete Mathematics Letters
56 Asian-European Journal of Mathematics
54 Journal of Discrete Mathematical Sciences & Cryptography
49 Iranian Journal of Mathematical Chemistry
46 Journal of Combinatorial Optimization
46 AKCE International Journal of Graphs and Combinatorics
45 Graphs and Combinatorics
42 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
37 Journal of Mathematical Analysis and Applications
34 European Journal of Combinatorics
34 Filomat
34 Communications in Combinatorics and Optimization
31 Journal of Mathematics
29 Discussiones Mathematicae. Graph Theory
28 Discrete Dynamics in Nature and Society
28 Kragujevac Journal of Mathematics
27 Computational and Applied Mathematics
27 Journal of Inequalities and Applications
26 Proyecciones
26 Advances and Applications in Discrete Mathematics
25 Mathematical Problems in Engineering
24 Electronic Journal of Graph Theory and Applications
23 Applied Mathematics and Nonlinear Sciences
22 Computers & Mathematics with Applications
22 Czechoslovak Mathematical Journal
22 South East Asian Journal of Mathematics and Mathematical Sciences
21 ELA. The Electronic Journal of Linear Algebra
19 Palestine Journal of Mathematics
18 Mathematical and Computer Modelling
18 Journal of Algebraic Combinatorics
18 The Electronic Journal of Combinatorics
18 The Journal of Prime Research in Mathematics
17 Information Sciences
16 Journal of Combinatorial Theory. Series B
16 Acta Universitatis Sapientiae. Informatica
15 Indian Journal of Pure & Applied Mathematics
15 Open Mathematics
15 AIMS Mathematics
14 Applied Mathematics. Series B (English Edition)
13 Acta Applicandae Mathematicae
12 Journal of the Indonesian Mathematical Society
11 Bulletin of the Australian Mathematical Society
11 Theoretical Computer Science
11 The Australasian Journal of Combinatorics
11 Journal of Applied Mathematics
11 Symmetry
11 Special Matrices
10 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
10 Journal of Graph Theory
10 Complexity
10 Boletim da Sociedade Paranaense de Matemática. Terceira Série
9 Journal of Combinatorial Theory. Series A
9 Quaestiones Mathematicae
9 Advances in Applied Mathematics
9 Acta Mathematicae Applicatae Sinica. English Series
9 RAIRO. Operations Research
9 Algebra and Discrete Mathematics
9 Mathematical Biosciences and Engineering
9 Journal of Mathematical Inequalities
9 Journal of Applied Mathematics & Informatics
9 Journal of Mathematical Research with Applications
9 Mathematics
9 The Art of Discrete and Applied Mathematics
8 Information Processing Letters
8 Chaos, Solitons and Fractals
8 International Journal of Foundations of Computer Science
8 Acta Mathematica Sinica. English Series
8 Hacettepe Journal of Mathematics and Statistics
8 Applicable Analysis and Discrete Mathematics
8 Electronic Journal of Mathematical Analysis and Applications EJMAA
8 International Journal of Applied and Computational Mathematics
7 Physica A
7 Rocky Mountain Journal of Mathematics
7 SIAM Journal on Discrete Mathematics
7 International Journal of Computer Mathematics
7 Ars Mathematica Contemporanea
6 Kyungpook Mathematical Journal
6 European Journal of Operational Research
6 Mediterranean Journal of Mathematics
6 Journal of Statistical Mechanics: Theory and Experiment
6 Online Journal of Analytic Combinatorics
6 Journal of Function Spaces
5 Journal of Computational and Applied Mathematics
5 Combinatorica
5 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
5 Turkish Journal of Mathematics
5 Opuscula Mathematica
5 Computer Science Journal of Moldova
5 Abstract and Applied Analysis
...and 237 more Serials
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Cited in 53 Fields

3,952 Combinatorics (05-XX)
1,127 Biology and other natural sciences (92-XX)
490 Linear and multilinear algebra; matrix theory (15-XX)
121 Computer science (68-XX)
75 Operations research, mathematical programming (90-XX)
59 Number theory (11-XX)
41 Information and communication theory, circuits (94-XX)
39 Probability theory and stochastic processes (60-XX)
35 Statistical mechanics, structure of matter (82-XX)
30 Numerical analysis (65-XX)
29 Group theory and generalizations (20-XX)
25 Commutative algebra (13-XX)
24 Statistics (62-XX)
19 Quantum theory (81-XX)
16 Operator theory (47-XX)
16 Convex and discrete geometry (52-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
13 Real functions (26-XX)
11 Measure and integration (28-XX)
10 Partial differential equations (35-XX)
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9 Systems theory; control (93-XX)
8 Functional analysis (46-XX)
7 Functions of a complex variable (30-XX)
6 Mathematical logic and foundations (03-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 History and biography (01-XX)
5 Field theory and polynomials (12-XX)
5 Associative rings and algebras (16-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Special functions (33-XX)
3 General and overarching topics; collections (00-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Optics, electromagnetic theory (78-XX)
2 Algebraic geometry (14-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)

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