Browsing by Subject "Graph theory"
Now showing items 1-20 of 669
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3-colorability of pseudo-triangulations
(2015)
Article
Open AccessDeciding 3-colorability for general plane graphs is known to be an NP-complete problem. However, for certain families of graphs, like triangulations, polynomial time algorithms exist. We consider the family of pseudo-tri ... -
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 ... -
4-labelings and grid embeddings of plane quadrangulations
(2009-06-03)
Research report
Open AccessWe show that each quadrangulation on $n$ vertices has a closed rectangle of influence drawing on the $(n-2) \times (n-2)$ grid. Further, we present a simple algorithm to obtain a straight-line drawing of a quadrangulation ... -
A benchmark for graph neural networks for computer network modeling
(Universitat Politècnica de Catalunya, 2019-06-27)
Master thesis
Open AccessToday, network operators still lack functional network models able to make accurate predictions of end-to-end 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 fixed-size 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 3-edge-colored. A natural generalization of the concept of "color", that describes in a simple way the coloring ("0" or "1") of any set ... -
A computational approach for finding 6-List-critical graphs on the Torus
(Universitat Politècnica de Catalunya, 2023-05-26)
Bachelor thesis
Open Access
Covenantee: Univerzita KarlovaLa coloració de grafs dibuixats a superfícies és un àrea antiga i molt estudiada de la teoria de grafs. Thomassen va demostrar que hi ha un nombre finit de grafs 6-crítics a qualsevol superfície fixa i va proporcionar el ... -
A construction of Small (q-1)-Regular Graphs of Girth 8
(2015-04-21)
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
(2009-01)
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 k-regular bipartite graphs of girth 8 on $2(kq^{2}-q)$ vertices. Some ... -
A differential approach for bounding the index of graphs under perturbations
(2011-03)
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
(2017-02)
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 fully data-driven approach for leak localization in water distribution networks
(Institute of Electrical and Electronics Engineers (IEEE), 2021)
Conference report
Open AccessThis paper presents a data-driven technique for the localization of leaks in water distribution networks (WDN). The methodology requires hydraulic data, i.e., pressure measurements from a set of sensors installed throughout ... -
A general method to obtain the spectrum and local spectra of a graph from its regular partitions
(2020-07-12)
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, c-slow retiming and recycling are different transformations for the performance optimization of sequential circuits. For retiming and c-slow retiming, different models that provide exact solutions have already ... -
A graph semantics for a variant of the ambient calculus more adequate for modeling SOC
(2017-02-07)
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, 2020-06-29)
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 non-diagonalizable 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 ...