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JournalISSN: 0350-1302

Publications De L'institut Mathematique 

National Library of Serbia
About: Publications De L'institut Mathematique is an academic journal published by National Library of Serbia. The journal publishes majorly in the area(s): Mathematics & Space (mathematics). It has an ISSN identifier of 0350-1302. It is also open access. Over the lifetime, 689 publications have been published receiving 6748 citations. The journal is also known as: Académie Serbe des Sciences et des Arts. Publications de l'Institut Mathématique (Belgrade).


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TL;DR: In this article, the authors consider some elementary functions of the components of a regularly varying random vector such as linear combinations, products, min- ima, maxima, order statistics, powers, and give conditions under which these functions are again regularly varying.
Abstract: We consider some elementary functions of the components of a regularly varying random vector such as linear combinations, products, min- ima, maxima, order statistics, powers. We give conditions under which these functions are again regularly varying, possibly with a dieren t index.

414 citations

Journal ArticleDOI
TL;DR: A spectral graph theory is a theory in which graphs are studied by means of eigenvalues of a matrix which is in a prescribed way defined for any graph as discussed by the authors, which is called �� -theory.
Abstract: A spectral graph theory is a theory in which graphs are studied by means of eigenvalues of a matrix �� which is in a prescribed way defined for any graph. This theory is called �� -theory. We outline a spectral theory of graphs based on the signless Laplacians �� and compare it with other spectral theories, in particular with those based on the adjacency matrix �� and the Laplacian �� . The �� -theory can be composed using various connections to other theories: equivalency with �� -theory and �� -theory for regular graphs, or with �� -theory for bipartite graphs, general analogies with �� -theory and analogies with �� -theory via line graphs and subdivision graphs. We present results on graph operations, inequalities for eigenvalues and reconstruction problems.

302 citations

Journal ArticleDOI
TL;DR: In this article, a survey of properties of spectra of signless Laplacians of graphs is presented, and the main result concerns the graphs whose largest eigenvalue is maximal among the graphs with fixed numbers of vertices and edges.
Abstract: We extend our previous survey of properties of spectra of signless Laplacians of graphs. Some new bounds for eigenvalues are given, and the main result concerns the graphs whose largest eigenvalue is maximal among the graphs with fixed numbers of vertices and edges. The results are presented in the context of a number of computer-generated conjectures.

199 citations

Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
20239
202227
20213
202018
201918
201837