Constrained Graph Layouts
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Constrained Graph Layouts
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Author : Andre Löffler
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-01-14
Constrained Graph Layouts written by Andre Löffler and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-14 with Mathematics categories.
Constraining graph layouts - that is, restricting the placement of vertices and the routing of edges to obey certain constraints - is common practice in graph drawing. In this book, we discuss algorithmic results on two different restriction types: placing vertices on the outer face and on the integer grid. For the first type, we look into the outer k-planar and outer k-quasi-planar graphs, as well as giving a linear-time algorithm to recognize full and closed outer k-planar graphs Monadic Second-order Logic. For the second type, we consider the problem of transferring a given planar drawing onto the integer grid while perserving the original drawings topology; we also generalize a variant of Cauchy's rigidity theorem for orthogonal polyhedra of genus 0 to those of arbitrary genus.
Graph Layout Support For Model Driven Engineering
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Author : Miro Spönemann
language : en
Publisher: BoD – Books on Demand
Release Date : 2015-03-16
Graph Layout Support For Model Driven Engineering written by Miro Spönemann and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-16 with Computers categories.
Automatic layout is an important tool for the efficient use of graphical models in a model-driven engineering (MDE) context. Since the 1980s, research on graph layout methods has led to a multitude of different approaches, and several free software libraries for graph layout are available. However, today's practically relevant MDE tools hardly reflect this diversity. This thesis aims to support the use of automatic graph layout in such tools. A special focus is on the requirements of data flow models, where constraints on the positioning of ports and the routing of hyperedges pose additional challenges. These constraints are approached with extensions of the layer-based graph layout method. Furthermore, we discuss an infrastructure for managing collections of layout algorithms, allowing to flexibly specify layout configurations. These concepts are implemented in an open-source project based on Eclipse, an extensible platform that is well-known as a Java IDE and also hosts a large number of MDE tools. The presented contributions allow to integrate high-quality automatic layout into these tools with low effort.
Boundary Constraints In Force Directed Graph Layout
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Author : Yani Zhang
language : en
Publisher:
Release Date : 2014
Boundary Constraints In Force Directed Graph Layout written by Yani Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
This paper focuses on graph layouts with constraints using force-directed simulations. Existing graph drawings with constraints include placement of a particular vertex or a group of vertices at a specified location, constraining placement of vertices and edges to specified rows and/or columns. We propose an alternative way of specifying constraints by allowing the user to interactively draw a boundary wherein the graph layout will be constrained. Such boundary constraints may be saved and applied to other graphs as well. In addition, the boundary may be of different topology such as a donut shape, or figure-eight shape, etc. We model these boundaries as a set of additional forces that contribute to the forces acting on graph vertices. Because our proposed approach is force-directed, it can take advantage of optimizations of other force-directed graph layout algorithms. Furthermore, one can utilize the knowledge of the size of the graph to be visualized and the size of the interior of the boundary region to scale the forces appropriately to achieve a uniform distribution of vertices. We tested this idea on several data sets and different boundary constraints.
A Layout Algorithm For Hierarchical Graphs With Constraints
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Author : Michael L. Slade
language : en
Publisher:
Release Date : 1994
A Layout Algorithm For Hierarchical Graphs With Constraints written by Michael L. Slade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Graph theory categories.
"A new method is developed for reducing edge crossings in the layout of directed graphs for display. The method will reduce edge crossings in graphs which have constraints on the location or movement of some of the nodes. This has not been available in previously published methods. An analysis of the strategies used to choose rank pairs for edge crossing reduction shows that this choice will dramatically affect the amount of crossings eliminated. This method is directly applicable to the reduction of edge crossings in the general graph."--Abstract.
Toward Graph Layout Of Large Data Visualization
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Author : Michael Ferron
language : en
Publisher:
Release Date : 2016
Toward Graph Layout Of Large Data Visualization written by Michael Ferron and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Generating layouts for millions of points on a spatially-restricted platform is a difficult task with a unique set of constraints. These layouts are traditionally generated on a server out of sight of the user. User-oriented applications would benefit from a real-time view of layout generation, which can assist user decision making and improve user experience by introducing interactivity. The literature of constraint resolution and mobile visualization is briefly surveyed to achieve an understanding of the state of the art for this problem, and motivate a solution with scenario-based examples. We formally identify the major constraints associated with this specialized layout generation problem and the special interplay between them. A pipeline-based layout generation method is defined algorithmically, coupled with the implementation of the algorithm(s). The quality of the result is analyzed on a constraint-dependent basis. Applications and future system improvements and extensions are discussed.
Tree Based Graph Partitioning Constraint
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Author : Xavier Lorca
language : en
Publisher: John Wiley & Sons
Release Date : 2013-01-24
Tree Based Graph Partitioning Constraint written by Xavier Lorca and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-24 with Mathematics categories.
Combinatorial problems based on graph partitioning enable us to mathematically represent and model many practical applications. Mission planning and the routing problems occurring in logistics perfectly illustrate two such examples. Nevertheless, these problems are not based on the same partitioning pattern: generally, patterns like cycles, paths, or trees are distinguished. Moreover, the practical applications are often not limited to theoretical problems like the Hamiltonian path problem, or K-node disjoint path problems. Indeed, they usually combine the graph partitioning problem with several restrictions related to the topology of nodes and arcs. The diversity of implied constraints in real-life applications is a practical limit to the resolution of such problems by approaches considering the partitioning problem independently from each additional restriction. This book focuses on constraint satisfaction problems related to tree partitioning problems enriched by several additional constraints that restrict the possible partitions topology. On the one hand, this title focuses on the structural properties of tree partitioning constraints. On the other hand, it is dedicated to the interactions between the tree partitioning problem and classical restrictions (such as precedence relations or incomparability relations between nodes) involved in practical applications. Precisely, Tree-based Graph Partitioning Constraint shows how to globally take into account several restrictions within one single tree partitioning constraint. Another interesting aspect of this book is related to the implementation of such a constraint. In the context of graph-based global constraints, the book illustrates how a fully dynamic management of data structures makes the runtime of filtering algorithms independent of the graph density.
The Design Of An Extendible Graph Editor
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Author : Frances N. Paulisch
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-08-30
The Design Of An Extendible Graph Editor written by Frances N. Paulisch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-30 with Computers categories.
This volume presents the papers from the first workshop on perceptual issues in visualization. It addresses the issues and problems of creating perceptually-based presentations and presents innovative approaches to achieving such presentations. Through many examples, it describes color, geometric, and sound approaches to perceptually-based presentations. It suggests some guidelines and 'dos and dont's' for such presentations. It discusses methods to evaluate them to ascertain their efficacy. And it explores the interactions with such presentations, once attained, and with the data they present.
Graph Algorithms And Applications I
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Author : Roberto Tamassia
language : en
Publisher: World Scientific
Release Date : 2002
Graph Algorithms And Applications I written by Roberto Tamassia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
This book contains volumes 1OCo3 of the Journal of Graph Algorithms and Applications (JGAA) . Topics of interest include design and analysis of graph algorithms, experiences with graph algorithms, and applications of graph algorithms. JGAA is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at http: //www.cs.brown.edu/publications/jgaa/. Contents: Volume 1: 2-Layer Straightline Crossing Minimization: Performance of Exact and Heuristic Algorithms (M Jnger & P Mutzel); Optimal Algorithms to Embed Trees in a Point Set (P Bose et al.); Low-degree Graph Partitioning via Local Search with Applications to Constraint Satisfaction, Max Cut, and Coloring (M M Halldrsson & H C Lau); Volume 2: Algorithms for Cluster Busting in Anchored Graph Drawing (K A Lyons et al.); A Broadcasting Algorithm with Time and Message Optimum on Arrangement Graphs (L Bai et al.); A Visibility Representation for Graphs in Three Dimensions (P Bose et al.); Scheduled Hot-Potato Routing (J Naor et al.); Treewidth and Minimum Fill-in on d -trapezoid Graphs (H L Bodlaender et al.); Memory Paging for Connectivity and Path Problems in Graphs (E Feuerstein & A Marchetti-Spaccamela); New Lower Bounds for Orthogonal Drawings (T C Biedl); Rectangle-visibility Layouts of Unions and Products of Trees (A M Dean & J P Hutchinson); Volume 3: Edge-Coloring and f -Coloring for Various Classes of Graphs (X Zhou & T Nishizeki); Experimental Comparison of Graph Drawing Algorithms for Cubic Graphs (T Calamoneri et al.); Subgraph Isomorphism in Planar Graphs and Related Problems (D Eppstein); Guest Editors'' Introduction (G Di Battista & P Mutzel); Drawing Clustered Graphs on an Orthogonal Grid (P Eades et al.); A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs (M S Rahman et al.); Bounds for Orthogonal 3-D Graph Drawing (T Biedl et al.); Algorithms for Incremental Orthogonal Graph Drawing in Three Dimensions (A Papakostas & I G Tollis). Readership: Researchers and professionals in theoretical computer science, computer engineering and combinatorics & graph theory."
Graph Drawing
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Author : Stephen North
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-15
Graph Drawing written by Stephen North and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-15 with Computers categories.
The combination of fast, low-latency networks and high-performance, distributed tools for mathematical software has resulted in widespread, affordable scientific computing facilities. Practitioners working in the fields of computer communication networks, distributed computing, computational algebra and numerical analysis have been brought together to contribute to this volume and explore the emerging distributed and parallel technology in a scientific environment. This collection includes surveys and original research on both software infrastructure for parallel applications and hardware and architecture infrastructure. Among the topics covered are switch-based high-speed networks, ATM over local and wide area networks, network performance, application support, finite element methods, eigenvalue problems, invariant subspace decomposition, QR factorization and Todd-Coxseter coset enumeration.
Algorithms For String And Graph Layout
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Author : Alantha Newman
language : en
Publisher:
Release Date : 2004
Algorithms For String And Graph Layout written by Alantha Newman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Many graph optimization problems can be viewed as graph layout problems. A layout of a graph is a geometric arrangement of the vertices subject to given constraints. For example, the vertices of a graph can be arranged on a line or a circle, on a two- or three-dimensional lattice, etc. The goal is usually to place all the vertices so as to optimize some specified objective function. We develop combinatorial methods as well as models based on linear and semidefinite programming for graph layout problems. We apply these techniques to some well-known optimization problems. In particular, we give improved approximation algorithms for the string folding problem on the two- and three-dimensional square lattices. This combinatorial graph problem is motivated by the protein folding problem, which is central in computational biology. We then present a new semidefinite programming formulation for the linear ordering problem (also known as the maximum acyclic subgraph problem) and show that it provides an improved bound on the value of an optimal solution for random graphs. This is the first relaxation that improves on the trivial "all edges" bound for random graphs.