Browsing by Subject "Graph theory"
Now showing items 120 of 538

3colorability of pseudotriangulations
(2015)
Article
Open AccessDeciding 3colorability for general plane graphs is known to be an NPcomplete problem. However, for certain families of graphs, like triangulations, polynomial time algorithms exist. We consider the family of pseudotri ... 
3D point cloud video segmentation oriented to the analysis of interactions
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
Conference lecture
Open AccessGiven the widespread availability of point cloud data from consumer depth sensors, 3D point cloud segmentation becomes a promising building block for high level applications such as scene understanding and interaction ... 
4labelings and grid embeddings of plane quadrangulations
(20090603)
External research report
Open AccessWe show that each quadrangulation on $n$ vertices has a closed rectangle of influence drawing on the $(n2) \times (n2)$ grid. Further, we present a simple algorithm to obtain a straightline drawing of a quadrangulation ... 
A benchmark for graph neural networks for computer network modeling
(Universitat Politècnica de Catalunya, 20190627)
Master thesis
Open AccessToday, network operators still lack functional network models able to make accurate predictions of endtoend Key Performance Indicators (e.g., delay).This thesis introduces the benchmark for computer network modeling using ... 
A block algorithm for the algebraic path problem and its execution on a systolic array
(Institute of Electrical and Electronics Engineers (IEEE), 1989)
Conference report
Open AccessThe solution of the algebraic path problem (APP) for arbitrarily sized graphs by a fixedsize systolic array processor (SAP) is addressed. The APP is decomposed into two subproblems, and SAP is designed for each one. Both ... 
A Boolean algebra approach to the construction of snarks
(John Wiley & Sons, 1991)
Part of book or chapter of book
Open AccessThis work deals with the construction of snarks, that is, cubic graphs that cannot be 3edgecolored. A natural generalization of the concept of "color", that describes in a simple way the coloring ("0" or "1") of any set ... 
A construction of Small (q1)Regular Graphs of Girth 8
(20150421)
Article
Open AccessIn this note we construct a new infinite family of (q  1)regular graphs of girth 8 and order 2q(q  1)(2) for all prime powers q >= 16, which are the smallest known so far whenever q  1 is not a prime power or a prime ... 
A construction of small regular bipartite graphs of girth 8
(200901)
Article
Open AccessLet q be a prime a power and k an integer such that 3 ≤ k ≤ q. In this paper we present a method using Latin squares to construct adjacency matrices of kregular bipartite graphs of girth 8 on $2(kq^{2}q)$ vertices. Some ... 
A differential approach for bounding the index of graphs under perturbations
(201103)
External research report
Open Access 
A discussion on the design of graph database benchmarks
(2011)
Article
Open AccessGraph Database Management systems (GDBs) are gaining popularity. They are used to analyze huge graph datasets that are naturally appearing in many application areas to model interrelated data. The objective of this paper ... 
A family of mixed graphs with large order and diameter 2
(201702)
Article
Open AccessA mixed regular graph is a connected simple graph in which each vertex has both a fixed outdegree (the same indegree) and a fixed undirected degree. A mixed regular graphs is said to be optimal if there is not a mixed ... 
A framework for building OLAP cubes on graphs
(Springer, 2015)
Conference report
Open AccessGraphs are widespread structures providing a powerful abstraction for modeling networked data. Large and complex graphs have emerged in various domains such as social networks, bioinformatics, and chemical data. However, ... 
A general method to obtain the spectrum and local spectra of a graph from its regular partitions
(20200712)
Article
Open AccessIt is well known that, in general, part of the spectrum of a graph can be obtained from the adjacency matrix of its quotient graph given by a regular partition. In this paper, a method that gives all the spectrum, and also ... 
A general model for performance optimization of sequential systems
(Institute of Electrical and Electronics Engineers (IEEE), 2007)
Conference report
Open AccessRetiming, cslow retiming and recycling are different transformations for the performance optimization of sequential circuits. For retiming and cslow retiming, different models that provide exact solutions have already ... 
A graph semantics for a variant of the ambient calculus more adequate for modeling SOC
(20170207)
External research report
Open AccessIn this paper we present a graph semantics of a variant of the well known ambient calculus. The main change of our variant is to extract the mobility commands of the original calculus from the ambient topology. Similar ... 
A graph signal processing solution for defective directed graphs
(Universitat Politècnica de Catalunya, 20200629)
Bachelor thesis
Open Access
Covenantee: USC Viterbi School of EngineeringThe main purpose of this thesis is to nd a method that allows to systematically adapt GSP techniques so they can be used on most nondiagonalizable graph operators. In Chapter 1 we begin by presenting the framework in ... 
A logic of graph conditions extended with paths
(2016)
Conference report
Open AccessIn this paper we tackle the problem of extending the logic of nested graph conditions with paths. This means, for instance, that we may state properties about the existence of paths between some given nodes. As a main ... 
A logic of graph conditions extended with paths
(2016)
Conference report
Open AccessIn this paper we tackle the problem of extending the logic of nested graph conditions with paths. This means, for instance, that we may state properties about the existence of paths between some given nodes. As a main ... 
A mathematical model for dynamic memory networks
(Iniciativa Digital Politècnica, 2011)
Conference report
Open AccessThe aim of this paper is to bring together the work done several years ago by M.A. Fiol and the other authors to formulate a quite general mathematical model for a kind of permutation networks known as dynamic memories. A ... 
A new application of the $\otimes_h$product to $\alpha$labelings
(2015)
Article
Open AccessThe weak tensor product was introduced by Snevily as a way to construct new graphs that admit alabelings from a pair of known agraphs. In this article, we show that this product and the application to alabelings can be ...