Departament de Matemàtiques
Collections in this community
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Altres [28]
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Articles de revista [3.101]
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Capítols de llibre [195]
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Llibres [30]
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Presentacions [13]
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Reports de recerca [400]
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Working papers [13]
Recent Submissions
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Contact structures with singularities: from local to global
(Elsevier, 2023-10-01)
Article
Open AccessIn this article we introduce and analyze in detail singular contact structures, with an emphasis on bm -contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. ... -
Immune sets in monotone infection rules: characterization and complexity
(Elsevier, 2023-11-15)
Article
Open AccessMany dissemination processes in graphs can be described as follows at a basic level. At each step of the process, some vertices of the graph are coloured blue, and the remaining are coloured white, and a well-defined ... -
The use of original sources in the classroom for learning mathematics
(Nuova Culture Roma, 2023)
Part of book or chapter of book
Restricted access - publisher's policyThe teaching and learning of the history of mathematics contributes to the overall education of students, whether they are prospective mathematicians, engineers or teachers. The use of the history of mathematics as an ... -
Teaching mathematics at the Barcelona Royal Military Academy of Mathematics (1739–1803)
(College Publications. Dialogues and Games of Logic. Volume 8, 2023)
Part of book or chapter of book
Restricted access - publisher's policy -
Introduction
(College Publications. Dialogues and Games of Logic. Volume 8, 2023)
Part of book or chapter of book
Restricted access - publisher's policy -
On polynomials associated to Voronoi diagrams of point sets and crossing numbers
(Universitat Politècnica de Catalunya (UPC), 2023)
Conference report
Open AccessThree polynomials are defined for sets S of n points in general position in the plane: The Voronoi polynomial with coefficients the numbers of vertices of the order-k Voronoi diagrams of S, the circle polynomial with ... -
Extremal families for Kruskal-Katona Theorem
(2019)
Conference report
Open AccessGiven a set of size $n$ and a positive integer $k<n$, Kruskal--Katona theorem gives the minimum size of the shadow of a family $S$ of $k$-sets of $[n]$ in terms of the cardinality of $S$. We give a characterization of the ... -
Big Ramsey degrees of 3-uniform hypergraphs
(2019)
Conference report
Open AccessGiven a countably infinite hypergraph $\mathcal R$ and a finite hypergraph $\mathcal A$, the \emph{big Ramsey degree} of $\mathcal A$ in $\mathcal R$ isthe least number $L$ such that, for every finite $k$ and every ... -
The canonical Tutte polynomial for signed graphs
(2019)
Conference report
Open AccessWe construct a new polynomial invariant for signed graphs, the trivariate Tutte polynomial, which contains among its evaluations the number of proper colorings and the number of nowhere-zero flows. In this, it parallels ... -
On the spectra of token graphs of cycles and other graphs
(Elsevier, 2023-09-11)
Article
Open AccessThe k-token graph of a graph G is the graph whose vertices are the k-subsets of vertices from G, two of which being adjacent whenever their symmetric difference is a pair of adjacent vertices in G. It is a known result ... -
Discovering important nodes of complex networks based on laplacian spectra
(2023-08-31)
Article
Open AccessKnowledge of the Laplacian eigenvalues of a network provides important insights into its structural features and dynamical behaviours. Node or link removal caused by possible outage events, such as mechanical and electrical ... -
Distance-layer structure of the De Bruijn and Kautz digraphs: analysis and application to deflection routing
(2023-07-29)
Article
Open AccessIn this article, we present a detailed study of the reach distance-layer structure of the De Bruijn and Kautz digraphs, and we apply our analysis to the performance evaluation of deflection routing in De Bruijn and Kautz ...
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