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Project 174033: Graph Theory and Mathematical Programming with Applications to Chemistry and Computer Science

Leader: Tatjana Davidović, Research Associate Professor
Former Leader: Slobodan Simić, Research Professor
Leader of the pervious project: Dragoš Cvetković, Research Professor

Referee's Reports (in Serbian)                               Comment (in Serbian)

Sub-projects

The project consists of five subprojects (titles followed by subproject leaders):

1. Spectral Graph Theory, Slobodan Simić;
2. Chemical Graph Theory, Boris Furtula;
3. Mathematical Programming, Vera Kovačević-Vujčić;
4. Structural Graph Theory and Algorithms, Kristina Vušković;
5. Graph Spectra in Computer Science, Dragan Stevanović.

Project results

List of Publications in 2019

List of Publications in 2018

List of Publications in 2017

List of Publications in 2016

List of Publications in 2015

List of Publications in 2014

List of Publications in 2013

List of Publications in 2012

List of Publications in 2011

Mathematical Achievements of Slobodan Simic - A book about scientific results of our former leader, professor Slobodan K. Simic (1948-2019).

Graphs, Chemistry, Computer Science, Optimization - A book about project activities for the period 2013-2017 (in Serbian).

Zoran Stanić, Regular Graphs: A Spectral Approach, De Gruyter Series in Discrete Mathematics and Applications, De Gruyter, Berlin, 2017.

Zoran Stanić, Inequalities for Graph Eigenvalues, Cambridge University Press, LMS Lecture Note Series, 2015.

D. Stevanović, Spectral Radius of Graphs, Academic Press (Elsevier imprint), Waltham, 2014.

D. Stevanović, Mathematical Properties of Zagreb Indices, (in Serbian), Akademska Misao, Beograd, 2014.

Graphs, Optimization, Chemistry, Computer Science - A book about project activities for the period 2008-2012 (in Serbian).

A special Issue of the journal Linear Algebra and Its Applications, Volume 435, Issue 10, 15 November 2011 has been published in honor of Professor Dragoš Cvetković (his 70-th birthday). It includes biography of Professor Cvetković, a complete list of his papers and books and 27 scientific papers with subjects close to Cvetković's work. Guest Editors for this issue: E.R. van Dam, I. Gutman, P. Rowlinson, S.K. Simić and D. Stevanović.

Graphs, Optimization, Chemistry - A book about project activities for the period 2003-2007 (in Serbian).

Applications of Graph Spectra

International Conference Spectra of Graphs and applications, SGA 2016, May 18-20, 2016, Serbian Academy of Sciences and Arts, Belgrade, Serbia

D. Cvetković,SPECTRAL RECOGNITION OF GRAPHS, paper and Plenary talk at Conference on Applications of Graph Spectra in Computer Science, co-organized by D. Stevanović, July 16-20, 2012, Barcelona, Spain.

Selected Topics on Applications of Graph Spectra, (second edition), Zbornik radova 14(22), eds. D. Cvetković, I. Gutman, Mathematical Institute SANU, Belgrade, 2011.

Software Packages

Programming Package newGRAPH by D. Stevanović, V. Brankov, D. Cvetković and S. Simić (Oct. 2004)

Programming Package GRAPH by D. Cvetković et al. (1980-1984). The users should download .zip file, unpack it on their local machine and read the corresponding readme.txt file.