Marija Ra�ajski

Info Research Personal

Publications, Conferences, Projects

Refereed Book Chapters

  • B. Male�ević, T. Lutovac, M. Ra�ajski: Generalizations and improvements of approximations of some analytic functions - a survey, Chapter in N. J. Daras, Th. M. Rassias (eds.), Approximation and Computation in Science and Engineering, pp. 589-608, Springer 2022, DOI: 10.1007/978-3-030-84122-5_31

  • Male�ević B., Lutovac T., Ra�ajski M., Banjac B. (2020) Double-Sided Taylor�s Approximations and Their Applications in Theory of Trigonometric Inequalities. In: Raigorodskii A., Rassias M. (eds) Trigonometric Sums and Their Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-37904-9_8

  • Male�ević B., Ra�ajski M., Lutovac T. (2019) Double�Sided Taylor�s Approximations and Their Applications in Theory of Analytic Inequalities. In: Andrica D., Rassias T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-27407-8_20

Refereed Journal Papers  

  • Y. J. Bagul, C. Chesneau, M. Kostić, T. Lutovac, B. Male�ević, M. Ra�ajski: Convexity and double-sided Taylor�s approximations, Hacettepe Journal of Mathematics and Statistics 52(1), 560�571, (2023) DOI: 10.15672/hujms.1096357

  • V. Stević, M. Ra�ajski, M. Mitrović Dankulov, Evolution of Cohesion between USA Financial Sector Companies before, during, and Post-Economic Crisis: Complex Networks Approach. Entropy. 2022; 24(7):1005.  https://doi.org/10.3390/ e24071005

  • B. Male�ević, T. Lutovac, M. Ra�ajski, B. Banjac: Error-Functions in Double-Sided Taylor�s Approximations, Applicable Analysis and Discrete Mathematics 14(3), 599-613, (2020) DOI:10.2298/AADM200114040M

  • Branko Male�ević, Marija Ra�ajski, Tatjana Lutovac: Refined Estimates and Generalizations of Inequalities Related to the Arctangent Function and Shafer�s Inequality, Mathematical Problems in Engineering, Volume 2018 (2018) 

  • Marija Ra�ajski, Tatjana Lutovac, Branko Male�ević: Sharpening and generalizations of Shafer-Fink and Wilker type inequalities: a new approach, Journal of Nonlinear Sciences and Applications, Volume 11, Issue 7,  885--893, (2018)

  • Tatjana Lutovac, Branko Male�ević, Marija Ra�ajski: A New Method for Proving Some Inequalities Related to Several Special Functions, Results in Mathematics, (2018) 73: 100, 1--15 

  • Marija Ra�ajski, Tatjana Lutovac, Branko Male�ević: About some exponential inequalities related to the sinc function, Journal of Inequalities and Applications, 2018: 150, 1--10 

  • Branko Male�ević, Tatjana Lutovac, Marija Ra�ajski, Mortici Cristinel: Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities, Advances in Difference Equations, 2018:90 (2018), 1-15 

  • Branko Male�ević, Marija Ra�ajski, Tatjana Lutovac: Refinements and generalizations of some inequalities of Shafer-Fink's type for the inverse sine function, Journal of Inequalities and Applications, 2017:275 (2017), 1-9 

  • Bojana Mihailović, Marija Ra�ajski: Some graph mappings that preserve the sign of \lambda_2-r, Applicable Analysis And Discrete Mathematics, vol. 11, no. 1, 148-165 (2017) 

  • Bojana Mihailović, Marija Ra�ajski, Zoran Stanić: Reflexive Cacti: a Survey, Applicable Analysis And Discrete Mathematics, vol. 10, no. 2, 552-568 (2016) 

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović: Maximal reflexive cacti with four cycles: The approach via Smith graphs, Linear Algebra and Its Applications 435 (2011), pp. 2530-2543.

  • M. Petrović, Z. Radosavljević, M. Ra�ajski: Cacti with a Given Spectral Property, Scientific Publications of The State University of Novi Pazar, Ser. A: Appl. Math. Inform. And Mech. Vol. 3, 2 (2011), 101-115.

  • O. Kuchaiev, M. Ra�ajski, D. J. Higham, N. Pr�ulj: Geometric De-noising of Protein-Protein Interaction Networks, PLoS Computational Biology, Volume 5, Issue 8, e1000454, August 2009.

  • D. J. Higham; M. Raajski, N. Prulj: Fitting a Geometric Graph to a Protein-Protein Interaction Network, Bioinformatics, Volume 24, Issue 8, 2008, 1093-1099.

  • Z. Radosavljević, B. Mihailović, M. Ra�ajski: On bicyclic reflexive graphs,  Discrete Mathematics, Volume 308, Issues 5-6, 2008, 715-725. 

  • Z. Radosavljević, B. Mihailović, M. Ra�ajski: Decomposition of Smith graphs in maximal reflexive cacti, Discrete Mathematics, Volume 308, Issues 2�3, 2008, Pages 355-366.

  • M. Ra�ajski: On a class of maximal reflexive θ-graphs generated by Smith graphs, Applicable Analysis and Discrete Mathematics 1 (2007), pg. 241-250. (formerly Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat.)  

  • Z. Radosavljević, M. Ra�ajski: Multicyclic treelike reflexive graphs, Discrete Mathematics Vol. 296/1 (2005), 43-57.

  • S. Ra�ajski, V. Aćimović-Raspopović, M. Ra�ajski: Geographical and frequency distribution of the spectrum utilization factors, Scientific Journal of ZJPTT -Telecommunications, July-Dec. 2005. Vol. 2. 5-15.

  • Z. Radosavljević, M. Ra�ajski: A class of reflexive cactuses with four cycles, Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat. 14 (2003), 64-85.

  • M. Ra�ajski: Preconditioning in a wavelet basis and its application to some boundary value problems, Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat. 14 (2003), 86-93.

 

Refereed Papers in Conference Proceedings  

  • Vojin Stević, Marija Ra�ajski, Marija Mitrović Dankulov: Symmetry analysis of economic system before, during, and after economic crisis using graph theory, Symopis 2022, Vrnjačka Banja, September 19-22, 2022

  • B. Mihailović, M. Ra�ajski: Examples of mappings that preserve reflexivity of graphs, XLII International Symposium of Operational Research (Proceedings), Srebrno jezero, Serbia, 15-18. September 2015, 165-168. 

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović, Modifications of Smith trees in the structure of some classes of maximal reflexive graphs, Proc. XXXIX Symp. on Operational Res. SYMOPIS 2012, Tara, Sept. 25-28, 2012, pg. 221-224.  

  • M. Ra�ajski, L-graphs, a class of maximal reflexive cacti with three cycles, Proc. XXXVIII Symp. on Operational Res. SYMOPIS 20011, Zlatibor, Oct. 4-7, 2011, pg. 250-253.

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović, Sigma-extensions in some classes of maximal reflexive cacti, Proc. XXXVIII Symp. on Operational Res. SYMOPIS 20011, Zlatibor, Oct. 4-7, 2011, pg. 254-257.

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović, Construction of a class of maximal reflexive -graphs using Smith graphs, Proc. XXXIII Symp. on Operational Res. SYMOPIS 2006, Banja Koviljača, Oct. 3-6, 2006, pg. 217-220.

  • M. Ra�ajski, On a class of tricyclic treelike reflexive graphs, Proc. XXXIII Symp. on Operational Res. SYMOPIS 2006, Banja Koviljača, Oct. 3-6, 2006, pg. 225-228.

  • S. Ra�ajski, V. Aćimović-Raspopović, M. Ra�ajski, A simplified method for determination of spectrum congestion degree, Proc. TELFOR 2005, Beograd, November 22-24, 2005.

  • M. Ra�ajski, D. Radunović, Application of split-step exponential method and wavelet transform for solving nonlinear PDE,  Proc.  SYMOPIS 2003,  Herceg Novi,  Sep 30 � Oct 3, 2003, pg. 355-358.

  • Z. Radosavljević, M. Ra�ajski, On some classes of multicyclic treelike reflexive  graphs, Proc. SYMOPIS 2003,  Herceg Novi, Sep 30 � Oct 3, 2003, pg. 295-298.

  • M. Ra�ajski, D. Radunović, Wavelets and ordinary differential equations, Proc.  PRIM 2002, Zlatibor, May 26 � 31,  2002, pg. 73-78.

 

Conferences (not mentioned in the previous section)  

  • Vojin Stević, Marija Ra�ajski, Marija Mitrović Dankulov, Evolution of cohesion between USA financial sector companies: complex networks approach, COMPLEX NETWORKS 2021,Tenth International Conference on Complex Networks and Their Applications, Madrid, Spain November 30 - December 02, 2021

  • B. Male�ević, T. Lutovac, M. Ra�ajski, B. Banjac: Automated proving of some inequalities involving trigonometric, inverse trigonometric and exponential functions, XIV Serbian Mathematical Congress, SMAK 2018, Kragujevac, Serbia, May 16-19, 2018  

  • B. Mihailović, M. Ra�ajski: On some classes of graphs whose second largest eigenvalue does not exceed \frac{{\sqrt 5 - 1}}{2}, XIV Serbian Mathematical Congress, SMAK 2018, Kragujevac, Serbia, May 16-19, 2018 

  • M. Ra�ajski: Families of maximal reflexive cacti: Various approaches and some generalizations, The Eighth Symposium "Mathematics and Applications", Faculty of Mathematics - University of Belgrade and Serbian Academy of Sciences and Arts (SANU), Belgrade, 17.-18. November 2017, Invited talk 

  • M. Ra�ajski, B. Mihailović: On the number of cycles in reflexive cacti that contain a bundle, Combinatorics 2016, Maratea (PZ), Italy, 29 May-5 June 2016 

  • B. Mihailović, M. Ra�ajski: On some graph transformations that preserve sgn(\lambda _2 - r), Spectra of Graphs and Applications 2016,  Serbian Academy of Sciences and Arts, Belgrade, May 18�20, 2016  

  • M. Ra�ajski, B. Mihailović: Some notes on the maximal number of cycles in reflexive cacti, Spectra of Graphs and Applications 2016, Serbian Academy of Sciences and Arts, Belgrade, May 18�20, 2016  

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović: A Class of Maximal Tricyclic Reflexive Graphs, XIII International Conference of Numerical and Applied Mathematics, Rodos Palace, Rhodes, Greece,  23-29 September 2015 

  • B. Mihailović, M. Ra�ajski: On some graph transformations that preserve sgn(\lambda _2 - 2) , Slovenian Conference of Graph Theory, Kranjska Gora, Slovenia, June 21-27, 2015  

  • B. Mihailović, M. Ra�ajski, Characteristic subgraphs of some tricyclic reflexive cacti, Seventh Czech-Slovak International Symposium on Graph Theory, Combinatorics, Algorithms and Applications, July 7-13, 2013, Kosice, Slovakia

  • B. Mihailović, M. Ra�ajski, Bounds for the second largest eigenvalue of a connected graph with a cut-vertex, International conference on pure and applied combinatorics and its connections with Geometry, Graph Theory and Algebra, Combinatorics 2012, Perugia, Italy, Sept. 10-15, 2012.

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović, Modifications of Smith trees in some classes of maximal reflexive cacti, International conference on pure and applied combinatorics and its connections with Geometry, Graph Theory and Algebra, Combinatorics 2012, Perugia, Italy, Sept. 10-15, 2012.

  • B. Mihailović, Z. Radosavljević, M. Ra�ajski, A spectral generalization of some results on tricyclic reflexive cacti, International conference on pure and applied combinatorics and its connections with Geometry, Graph Theory and Algebra, Combinatorics 2010, Verbania, Italy, June 27-July 3, 2010.

  • B. Mihailović, Z. Radosavljević, M. Ra�ajski, Forbidden subgraphs for some classes of treelike reflexive graphs, 16th Conference of the International Linear Algebra Society, Minisymposium on Spectral Graph Theory,  Pisa, Italy, June 21-25, 2010.

  • M. Ra�ajski, Z. Radosavljević, B. Mihailović, A class of maximal tricyclic reflexive graphs, International conference on pure and applied combinatorics and its connections with Geometry, Graph Theory and Algebra, Combinatorics 2008, Costermano (VR), Italy,  June 22-28, 2008.

  • B. Mihailović, Z. Radosavljević, M. Ra�ajski, Tricyclic treelike reflexive graphs, SGT in Rio, Workshop on spectral graph theory with applications in computer science, combinatorial optimization and chemistry, Rio de Janerio, Dec. 1-4, 2008.

  • N. Prulj, O. Kuchaiev, A. Stevanović, M. Raajski, W. Hayes, and D. Higham, Geometric evolutionary dynamics and de-noising of protein-protein interaction networks, International Conference on Research in Computational Molecular Biology, RECOMB 2010, Lisbon, Portugal, August 12-15, 2010.

  • D. J. Higham, M. Raajski, and N. Prulj, Discovering Geometric Structure in Protein-Protein Interaction Networks: The Embedding Algorithm, European Conference on Computational Biology, ECCB 2008, Cagliari, Italy, September 22-26, 2008.

  • D. J. Higham, M. Raajski, and N. Prulj, Discovering Geometric Structure in Protein-Protein Interaction Networks: The Embedding Algorithm, International Conference on Systems Biology, ICSB 2008, Gothenburg, Sweden, August 22-28, 2008.

  • D. J. Higham, M. Raajski, and N. Prulj, Discovering Geometric Structure in Protein-Protein Interaction Networks, Intelligent Systems for Molecular Biology, ISMB 2008, Toronto, Canada, July 19-23, 2008.

  • D. J. Higham, M. Ra�ajski, N. Pr�ulj, Protein-Protein Interaction Networks as Geometric Random Graphs: A Direct Approach, RECOMB Satellite Conference on Systems Biology, San Diego, California, November 30 � December 1, 2007.

  • D. J. Higham, M. Ra�ajski, N. Pr�ulj, Fitting a Geometric Graph to a Protein-Protein Interaction Network, The Eighth International Conference on Systems Biology (ICSB 2007), Long Beach, California, October 1 6, 2007.

  • M. Ra�ajski, On a class of maximal reflexive θ-graphs generated by Smith graphs, International Mathematical Conference: Topics in Mathematical Analysis and Graph Theory, MAGT 2006, Belgrade, September 1 � 4,  2006.

  • Z. Radosavljević, M. Ra�ajski, Presence of Smith trees in some classes of maximal reflexive graphs, Italian Combinatorial Conference, Combinatorics 2006, Ischia (Naples), June 25 -  July 1, 2006.

  • Z. Radosavljević, B. Mihailović, M. Ra�ajski, On bicyclic reflexive graphs, 20th British Combinatorial Conference, BCC20, Durham, July 11 � 15, 2005.

  • Z. Radosavljević, B. Mihailović, M. Ra�ajski, Decomposition of Smith graphs in maximal reflexive cactuses, 12th Italian Combinatorial Conference, Combinatorics 2004, Catania, September 12 � 18,  2004.

  • M. Ra�ajski, D. Radunović, Application of the wavelet theory to solving partial differential equations, PRIM 2004, Budva, May 31 � June 4, 2004.

 

Other publications  

  • D. Cvetković, B. Mihailović, Z. Radosavljević, M. Ra�ajski, A review of Publications of the Faculty of Electrical Engineering, Series Mathematics (1990--2007), Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat. 18 (2007), pg. 68-76. 

  • D. Cvetković, B. Mihailović, Z. Radosavljević, M. Ra�ajski, Graph theory in Publications of the Faculty of Electrical Engineering, Series Mathematics and Physics and Series Mathematics, Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat., 18 (2007), pg. 77-80.

 

Books

  • M. Ra�ajski, Linearna algebra za studente elektrotehnike, Akademska misao i Elektrotehnicki fakultet, Beograd 2013.  ISBN: 978-86-7466-451-3

  • M. Ra�ajski, B. Male�ević, T. Lutovac, B. Mihailović, N. Cakić: Linearna algebra, Univerzitet u Beogradu - Elektrotehnicki fakultet i Akademska misao, Beograd 2017. ISBN: 978-86-7466-680-7 

 

Projects

  • Graph theory and mathematical programming with applications in chemistry and computer science, 2011 � present 

    Project no: 174033, supported by the Ministry of Education, Science and Technological Development

  • Graph theory and mathematical programming with applications in chemistry and engineering, 2006 � 2010.

        Project no: 144015, supported by the Ministry of Science, Project leader:  Drago� Cvetković, academician

  • Numerical methods for the operator equations, 2001 - 2005.

        Project no: 1840, supported by the Ministry of Science