Search Results - "Cvetković Dragoš"
-
1
Towards a spectral theory of graphs based on the signless Laplacian, II
Published in Linear algebra and its applications (15-04-2010)“…A spectral graph theory is a theory in which graphs are studied by means of eigenvalues of a matrix M which is in a prescribed way defined for any graph. This…”
Get full text
Journal Article Conference Proceeding -
2
Compositions of Cospectrality Graphs of Smith Graphs
Published in Kragujevac Journal of Mathematics (01-01-2023)“…Graphs whose spectrum belongs to the interval [−2, 2] are called Smith graphs. Vertices of the cospectrality graph C(H) of a Smith graph H are all graphs…”
Get full text
Journal Article -
3
Constructing graphs with given spectrum and the spectral radius at most 2
Published in Linear algebra and its applications (15-02-2017)“…Two graphs are cospectral if their spectra coincide. The set of all graphs that are cospectral to a given graph, including the graph by itself, is the…”
Get full text
Journal Article -
4
SPECTRAL THEORY OF SMITH GRAPHS
Published in Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques (01-01-2017)“…Graphs whose spectrum belongs to the interval [2, 2] are called Smith graphs. The structure of a Smith graph with a given spectrum depends on a system of…”
Get full text
Journal Article -
5
THREE EXAMPLES OF A GROUND-BREAKING IMPACT OF THE VARIABLE NEIGHBORHOOD SEARCH ON INVESTIGATIONS IN GRAPH THEORY
Published in Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques (01-01-2016)“…The well known computer packageAutoGraphiX(AGX) uses the variable neighborhood search to solve extremal problems in graph theory. We describe how AGX, in its…”
Get full text
Journal Article -
6
Slobodan SimiĆ: an appreciaton
Published in Discussiones Mathematicae. Graph Theory (2020)Get full text
Journal Article -
7
-
8
Finding minimal branchings with a given number of arcs
Published in Yugoslav Journal of Operations Research (01-01-2002)“…We describe an algorithm for finding a minimal s-branching (where s is a given number of its arcs) in a weighted digraph with an a symetric weight matrix. The…”
Get full text
Journal Article -
9
Graph spectra in Computer Science
Published in Linear algebra and its applications (15-03-2011)“…In this paper, we shall give a survey of applications of the theory of graph spectra to Computer Science. Eigenvalues and eigenvectors of several graph…”
Get full text
Journal Article -
10
Signless Laplacians of finite graphs
Published in Linear algebra and its applications (01-05-2007)“…We survey properties of spectra of signless Laplacians of graphs and discuss possibilities for developing a spectral theory of graphs based on this matrix. For…”
Get full text
Journal Article Conference Proceeding -
11
TOWARDS A SPECTRAL THEORY OF GRAPHS BASED ON THE SIGNLESS LAPLACIAN, III
Published in Applicable analysis and discrete mathematics (01-04-2010)“…This part of our work further extends our project of building a new spectral theory of graphs (based on the signless Laplacian) by some results on graph…”
Get full text
Journal Article -
12
THE TRAVELING SALESMAN PROBLEM: THE SPECTRAL RADIUS AND THE LENGTH OF AN OPTIMAL TOUR
Published in Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques (01-01-2018)“…We consider the symmetric traveling salesman problem (TSP) with instances represented by complete graphs with distances between cities as edge weights…”
Get full text
Journal Article -
13
Slobodan Simić: An Appreciation
Published in Discussiones Mathematicae. Graph Theory (01-05-2020)“…Slobodan Simić had many interests and many friends. Doubtless each of his 66 co-authors has a story to tell, but here we can offer only our own personal…”
Get full text
Journal Article -
14
Graphs with least eigenvalue −2: Ten years on
Published in Linear algebra and its applications (01-11-2015)“…The authors' monograph Spectral Generalizations of Line Graphs was published in 2004, following the successful use of star complements to complete the…”
Get full text
Journal Article -
15
On some algorithmic investigations of star partitions of graphs
Published in Discrete Applied Mathematics (08-09-1995)“…Star partitions of graphs were introduced in a recent paper by the same authors in order to extend spectral methods in algebraic graph theory. Here it is shown…”
Get full text
Journal Article -
16
SPECTRAL RECONSTRUCTION AND ISOMORPHISM OF GRAPHS USING VARIABLE NEIGHBOURHOOD SEARCH
Published in Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques (01-01-2014)“…The Euclidean distance between the eigenvalue sequences of graphs G and H, on the same number of vertices, is called thespectral distancebetween G and H. This…”
Get full text
Journal Article -
17
Complexity indices for the traveling salesman problem continued
Published in Yugoslav Journal of Operations Research (01-01-2021)“…We consider the symmetric traveling salesman problem (TSP) with instances represented by complete graphs G with distances between cities as edge weights. A…”
Get full text
Journal Article -
18
Spectral recognition of graphs
Published in Yugoslav Journal of Operations Research (01-01-2012)“…At some time, in the childhood of spectral graph theory, it was conjectured that non-isomorphic graphs have different spectra, i.e. that graphs are…”
Get full text
Journal Article -
19
A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
Published in Linear algebra and its applications (01-12-2008)“…We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected non-bipartite graph with a prescribed number of vertices is…”
Get full text
Journal Article Conference Proceeding -
20
Controllability of Multi-Agent Dynamical Systems with a Broadcasting Control Signal
Published in Asian journal of control (01-07-2014)“…This paper is concerned with the controllability of a multi‐agent dynamical system in which all identical first‐order dynamical agents receive a common…”
Get full text
Journal Article