prof. dr Duško Bogdanić
redovni profesor

Nastavnik - II-4

Prirodno-matematički fakultet

Uža naučna/umjetnička oblast	Zvanje	Datum izbora u zvanje
Katedre	Prirodno-matematički fakultet - Katedra za teorijsku matematiku
Algebra i geometrija	redovni profesor	December 23, 2021
ORCid	https://orcid.org/0000-0002-6511-7475	Google Scholar	https://scholar.google.com/citations?user=3Qpc46UAAAAJ&hl=en

Predmeti

Prirodno-matematički fakultet

Akademske studije drugog ciklusa		Akademske studije prvog ciklusa		Akademske studije trećeg ciklusa		Prvi ciklus

Bibliografija

Radovi u časopisima

Moving towards sustainable tribology: waste silica fumes as a novel lubricant base

DOI	https://doi.org/10.1007/s11696-025-04062-z
Časopis	CHEMICAL PAPERS-CHEMICKE ZVESTI
Godina	2025
Autori	Saša Zeljković, Veronica D’Urso, Toni Ivas, Duško Bogdanić, and Adolfo Senatore

Igor R. Šafarevič --- vijek rada i borbe ostavljen pokoljenima u naslijeđe

DOI	10.7251/MK2302099C
Časopis	MAT-KOL
Godina	2023
Autori	Dimitrije Čvokić, Duško Bogdanić, and Jelena Osipova
Volumen	29
Broj	2
Strana od	99
Strana do	114
Veb adresa	https://drive.google.com/file/d/1qflQiVqX8T_NPDCprjBm4Whvl-iozbAY/view

Invert transform and restricted words

DOI	10.7251/BIMVI2201027B
Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2022
Autori	Duško Bogdanić and Milan Janjić
Volumen	12
Broj	1
Strana od	27
Strana do	39
Veb adresa	http://www.imvibl.org/buletin/bulletin_12_1_22/bulletin_imvi_12_1_22_26_39.pdf

Construction of Rank 2 Indecomposable Modules in Grassmannian Cluster Categories

Časopis	Advanced Studies in Pure Mathematics
Godina	2022
Autori	Duško Bogdanić, Karin Baur, and Jian-Rong Li
Volumen	88
Strana od	1
Strana do	29
Veb adresa	https://bookstore.ams.org/aspm

Indecomposable Modules in the Grassmannian Cluster Category ${\rm CM}(B_{5,10})$

Časopis	KRAGUJEVAC JOURNAL OF MATHEMATICS
Godina	2022
Autori	Duško Bogdanić and Ivan Vanja Boroja
Volumen	48
Broj	6
Strana od	907
Strana do	920
Veb adresa	https://imi.pmf.kg.ac.rs/kjm/pdf/accepted-finished/759dde513605c4c9fc8ddd6e3da4e386_2536_10292021_092521/kjm_48_6-7.pdf

The Fibonacci numbers in biology

DOI	10.7251/MK2101011B
Časopis	MAT-KOL
Godina	2021
Autori	Duško Bogdanić, Nina Janjić, and Jelena Skorucak
Volumen	XVII
Broj	1
Strana od	11
Strana do	20
Veb adresa	https://drive.google.com/file/d/1rI4gSSUCHWN8KDyAZQ08FPnx1N5tenES/view

Arithmetics of some sequences via 2-determinants

DOI	10.7251/BIMVI2103517B
Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2021
Autori	Duško Bogdanić and Milan Janjić
Volumen	11
Broj	3
Strana od	517
Strana do	526
Veb adresa	http://www.imvibl.org/buletin/bulletin_imvi_11_3_2021/bulletin_imvi_11_3_2021_517_526.pdf

Gradings on quaternion blocks with two simple modules

DOI	10.7251/BIMVI2102255B
Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2021
Autori	Duško Bogdanić
Volumen	11
Broj	2
Strana od	255
Strana do	260
Veb adresa	http://www.imvibl.org/buletin/bulletin_imvi_11_2_2021/bulletin_imvi_11_2_2021_255_260.pdf

Gradings on quaternion blocks with three simple modules

DOI	10.7251/BIMVI2102319B
Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2021
Autori	Duško Bogdanić
Volumen	11
Broj	2
Strana od	319
Strana do	325
Veb adresa	http://www.imvibl.org/buletin/bulletin_imvi_11_2_2021/bulletin_imvi_10_2_2020_319_325.pdf

Cluster categories from Grassmannians and root combinatorics

DOI	10.1017/nmj.2019.14
Časopis	NAGOYA MATHEMATICAL JOURNAL
Godina	2020
Autori	Duško Bogdanić, Karin Baur, and Ana Garcia Elsener
Volumen	240
Strana od	322
Strana do	354
Veb adresa	https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/abs/cluster-categories-from-grassmannians-and-root-combinatorics/1B5688F2D593727778FD38072C8C576A

Computation of Positive Roots for Lie Algebras

DOI	10.7251/MK2002033B
Časopis	MAT-KOL
Godina	2020
Autori	Duško Bogdanić and Sara Jevđenić
Volumen	26
Broj	2
Strana od	33
Strana do	40
Veb adresa	https://matinf.pmf.unibl.org/mat-kol/en/home

Extensions between Cohen–Macaulay modules of Grassmannian cluster categories

DOI	10.1007/s10801-016-0731-5
Časopis	JOURNAL OF ALGEBRAIC COMBINATORICS
Godina	2017
Autori	Duško Bogdanić and Karin Baur
Volumen	45
Broj	4
Strana od	965
Strana do	1000
Veb adresa	https://link.springer.com/article/10.1007/s10801-016-0731-5

Existence of gradings on associative algebras

DOI	10.1080/00927872.2015.1065872
Časopis	COMMUNICATIONS IN ALGEBRA
Godina	2016
Autori	Duško Bogdanić
Volumen	44
Broj	7
Strana od	3067
Strana do	3076
Veb adresa	https://www.tandfonline.com/doi/full/10.1080/00927872.2015.1065872

Grading Wild Blocks via Stable Equivalences

Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2015
Autori	Duško Bogdanić
Volumen	5
Strana od	125
Strana do	132
Veb adresa	http://www.imvibl.org/

Gradings on Semidihedral Blocks With Two Simple Modules

Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2015
Autori	Duško Bogdanić
Volumen	5
Strana od	133
Strana do	140
Veb adresa	www.imvibl.org

Gradings on semidihedral blocks with three simple modules

Časopis	Bulletin of International Mathematical Virtual Institute
Godina	2015
Autori	Duško Bogdanić
Volumen	5
Strana od	141
Strana do	152
Veb adresa	www.imvibl.org

Obrazac nacionalnog projekta prevencije moždanog udara u ranom otkrivanju patoloških promjena na krvnim sudovima vrata i glave

Časopis	AKTUELNOSTI IZ NEUROLOGIJE, PSIHIJATRIJE I GRANIČNIH PODRUČJA
Godina	2014
Autori	Vlado Đajić, Ljubiša Preradović, Duško Bogdanić, Darko Tomaš, and T. Žikić-Rabi
Volumen	XXII
Broj	1-2
Strana od	7
Strana do	14

Graded Cartan matrices of defect 2 blocks of symmetric groups

DOI	10.1142/S0219498812502209
Časopis	JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Godina	2013
Autori	Duško Bogdanić
Volumen	12
Broj	5
Strana od	1250220
Strana do	1250231
Veb adresa	http://www.worldscientific.com/doi/abs/10.1142/S0219498812502209

Graded blocks of group algebras with dihedral defect groups

DOI	10.4064/cm122-2-1
Časopis	Colloquium Mathematicum
Godina	2011
Autori	Duško Bogdanić
Volumen	122
Strana od	149
Strana do	176
Veb adresa	https://www.impan.pl/en/publishing-house/journals-and-series/colloquium-mathematicum/all/122/2/86869/graded-blocks-of-group-algebras-with-dihedral-defect-groups

Graded Brauer tree algebras

DOI	10.1016/j.jpaa.2009.11.013
Časopis	JOURNAL OF PURE AND APPLIED ALGEBRA
Godina	2010
Autori	Duško Bogdanić
Volumen	214
Broj	9
Strana od	1534
Strana do	1552
Veb adresa	http://www.sciencedirect.com/science/article/pii/S0022404909002722

Aksiome teorije skupova

Časopis	MAT-KOL
Godina	2009
Autori	Bojan Nikolić, Duško Bogdanić, and Daniel Romano
Volumen	XV(1)
Strana od	17
Strana do	25

Knjige

Elementarna matematika

Izdavač	Prirodno-matematički fakultet, Univerzitet u Banjoj Luci
ISBN	978-99955-21-77-6
Godina	2019
Autori	Duško Bogdanić and Bojan Nikolić
Tip knjige	osnovni udžbenik

Osnove matematike

Izdavač	Univerzitet u Banjoj Luci
ISBN	978-99955-21-78-3
Godina	2019
Autori	Duško Bogdanić and Milan Janjić
Tip knjige	osnovni udžbenik
Broj strana	163

Uvod u algebru

Izdavač	Prirodno-matematički fakultet u Banjoj Luci
ISBN	978-99955-21-27-1
Godina	2012
Autori	Milan Janjić and Duško Bogdanić
Tip knjige	osnovni udžbenik
Broj strana	1999

Projekti

Savremene racunarske metode u analizi bioloskih podataka

Project Number	1259115
Status	Aktivan
Type of project	Nacionalni naucnoistrazivacki
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dragan Matic
Participants	doc. dr Marko Djukanovic Nenad Vilendecic Milan Predojevic, ma Milica Jaguzovic doc. dr Bojan Nikolic Vladan Jaguzovic, ma prof. dr Dusko Bogdanic doc. dr Milana Grbic
Business Partner	Ministarstvo za naucnotehnoloski razvoj i visoko obarzovanje Republike Srpske
Beginning of realization	2025-04-01
End of the project	2026-04-30
Project value	6500.0 BAM

Primjena dubokog ucenja u poboljsanju efikasnosti algoritama optimizacije

Project Number	1259114
Status	Aktivan
Type of project	Nacionalni - ostali
Organizational unit	Prirodno-matematicki fakultet
Head	doc. dr Marko Djukanovic
Participants	doc. dr Milana Grbic Nenad Vilendecic Milica Jaguzovic doc. dr Bojan Nikolic Milan Predojevic, ma doc. dr Dimitrije Cvokic prof. dr Dusko Bogdanic mr Tatjana Zec
Business Partner	Ministarstvo za naucnotehnoloski razvoj i visoko obarzovanje Republike Srpske
Beginning of realization	2025-03-01
End of the project	2025-12-31
Project value	6500.0 BAM

Kompresovani grafovi komutativnosti algebarskih struktura

Project Number	1259098
Status	Aktivan
Type of project	Medjunarodni naucnoistrazivacki - Ostali
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dusko Bogdanic
Participants	mr Ivan-Vanja Boroja Sara Koljancic, ma mr Jovan Mikic
Business Partner	Vijece ministara Bosne i Hercegovine, Vlada Republike Slovenijeada
Beginning of realization	2024-01-01
End of the project	2025-12-31
Project value	3600.0 BAM

Analiza bioloskih mreza metodama masinskog ucenja

Project Number	1259087
Status	Aktivan
Type of project	Nacionalni naucnoistrazivacki
Organizational unit	Prirodno-matematicki fakultet
Head	doc. dr Milana Grbic
Participants	Nenad Vilendecic prof. dr Dusko Bogdanic doc. dr Marko Djukanovic Milan Predojevic, ma mr Tatjana Zec prof. dr Dragan Matic Milica Jaguzovic
Business Partner	Ministarstvo za naucnotehnoloski razvoj i visoko obarzovanje Republike Srpske
Beginning of realization	2024-04-01
End of the project	2025-04-01
Project value	5500.0 BAM

Razvoj metoda vjestacke inteligencije za rjesavanje problema racunarske biologije

Project Number	1259052
Status	Neaktivan
Type of project	Nacionalni naucnoistrazivacki
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dragan Matic
Participants	doc. dr Milana Grbic doc. dr Marko Djukanovic Milan Predojevic, ma prof. dr Vladimir Jovanovic prof. dr Dusko Bogdanic Sara Koljancic, ma doc. dr Vladimir Filipovic Vukasin Crnogorac
Business Partner	Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo
Beginning of realization	2020-01-01
End of the project	2022-10-30
Project value	22000.0 BAM

Konfiguracioni prostori u diskretnoj geometriji

Project Number	1259049
Status	Neaktivan
Type of project	Nacionalni naucnoistrazivacki
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dusko Jojic
Participants	doc. dr Milana Grbic prof. dr Zoran Mitrovic prof. dr Dusko Bogdanic doc. dr Bojan Nikolic mr Sladjana Babic prof. dr Miroslav Pranic Sara Koljancic, ma Milanka Treml, ma Mia Jotanovic, ma
Business Partner	Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo
Beginning of realization	2020-06-01
End of the project	2021-01-31
Project value	12000.0 BAM

Nilpotentne orbite i komutativnost matrica

Project Number	1259030
Status	Neaktivan
Type of project	Medjunarodni naucnoistrazivacki - Ostali
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dusko Bogdanic
Participants	Sara Koljancic, ma mr Tatjana Zec doc. dr Marko Djukanovic
Business Partner	Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo
Beginning of realization	2019-01-01
End of the project	2024-03-05
Project value	4000.0 BAM

Razvoj i primjena metoda kombinatorne optimizacije i metoda masinskog ucenja u bioinformatici

Project Number	1259015
Status	Neaktivan
Type of project	Nacionalni - ostali
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dragan Matic
Participants	Sara Koljancic, ma prof. dr Vladimir Jovanovic doc. dr Vladimir Filipovic doc. dr Milana Grbic doc. dr Marko Djukanovic prof. dr Dusko Bogdanic Milan Predojevic, ma
Business Partner	Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo
Beginning of realization	2019-01-01
End of the project	2020-10-06
Project value	12410.0 BAM

Topoloske i kombinatorne osobine nekih vaznih kompleksa

Project Number	1259014
Status	Neaktivan
Type of project	Nacionalni - ostali
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dusko Jojic
Participants	prof. dr Miroslav Pranic prof. dr Zoran Mitrovic mr Sladjana Babic doc. dr Bojan Nikolic Milanka Treml, ma prof. dr Dusko Bogdanic doc. dr Milana Grbic Alen Djuric Sara Koljancic, ma
Business Partner	Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo
Beginning of realization	2019-06-01
End of the project	2023-01-31
Project value	13000.0 BAM

Kombinatorne metode u topologiji i njihova primjena na probleme Tverbergovog tipa

Project Number	0830905
Status	Neaktivan
Type of project	Nacionalni naucnoistrazivacki
Organizational unit	Prirodno-matematicki fakultet
Head	prof. dr Dusko Jojic
Participants	prof. dr Dragan Matic Milanka Treml, ma mr Sladjana Babic prof. dr Zoran Mitrovic mr Vladimir Telebak prof. dr Dusko Bogdanic
Business Partner	Ministarstvo nauke i tehnologije Republike Srpske
Beginning of realization	2016-09-01
End of the project	2019-01-17
Project value	12100.0 BAM