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Author: Andre Löffler
Publisher: BoD – Books on Demand
ISBN: 3958261469
Category : Mathematics
Languages : en
Pages : 174
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Book Description
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.
Author: Andre Löffler
Publisher: BoD – Books on Demand
ISBN: 3958261469
Category : Mathematics
Languages : en
Pages : 174
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Book Description
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.
Author: Yani Zhang
Publisher:
ISBN: 9781321088939
Category :
Languages : en
Pages : 45
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Book Description
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.
Author: Ioannis G. Tollis
Publisher: Springer Science & Business Media
ISBN: 3642002188
Category : Computers
Languages : en
Pages : 472
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Book Description
This book constitutes the proceedings of the 16th International Symposium on Graph Drawing, GD 2008, held in Heraklion, Crete, Greece, during September 21-24, 2008. The 31 long papers and 8 short papers presented together with 10 posters and two invited papers were carefully reviewed and selected from 83 submissions. The volume also includes a report on the Graph Drawing Contest which was held during the conference. An important aspect of the conference is bridging the gap between theoretical advances and implemented solutions of geometric representation of graphs and networks. It is motivated by those applications where it is crucial to visualize structural information as graphs.
Author: Michael Ferron
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
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.
Author: Michael L. Slade
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 160
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Book Description
"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.
Author: Stephen North
Publisher: Springer Science & Business Media
ISBN: 9783540624950
Category : Computers
Languages : en
Pages : 428
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Book Description
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.
Author: David Eppstein
Publisher: Springer
ISBN: 3642118054
Category : Computers
Languages : en
Pages : 446
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Book Description
This volume constitutes the refereed proceedings of the 17th International Symposium on Graph Drawing, GD 2009, held in Chicago, USA, during September 2009. The 31 revised full papers and 4 short papers presented were carefully reviewed and selected out of 79 submissions. Furthermore, 10 posters were accepted in a separate submission process.
Author: Sugato Basu
Publisher: CRC Press
ISBN: 9781584889977
Category : Computers
Languages : en
Pages : 472
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Book Description
Since the initial work on constrained clustering, there have been numerous advances in methods, applications, and our understanding of the theoretical properties of constraints and constrained clustering algorithms. Bringing these developments together, Constrained Clustering: Advances in Algorithms, Theory, and Applications presents an extensive collection of the latest innovations in clustering data analysis methods that use background knowledge encoded as constraints. Algorithms The first five chapters of this volume investigate advances in the use of instance-level, pairwise constraints for partitional and hierarchical clustering. The book then explores other types of constraints for clustering, including cluster size balancing, minimum cluster size,and cluster-level relational constraints. Theory It also describes variations of the traditional clustering under constraints problem as well as approximation algorithms with helpful performance guarantees. Applications The book ends by applying clustering with constraints to relational data, privacy-preserving data publishing, and video surveillance data. It discusses an interactive visual clustering approach, a distance metric learning approach, existential constraints, and automatically generated constraints. With contributions from industrial researchers and leading academic experts who pioneered the field, this volume delivers thorough coverage of the capabilities and limitations of constrained clustering methods as well as introduces new types of constraints and clustering algorithms.
Author: Helmut E. Graeb
Publisher: Springer Science & Business Media
ISBN: 1441969322
Category : Technology & Engineering
Languages : en
Pages : 302
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Book Description
Integrated circuits are fundamental electronic components in biomedical, automotive and many other technical systems. A small, yet crucial part of a chip consists of analog circuitry. This part is still in large part designed by hand and therefore represents not only a bottleneck in the design flow, but also a permanent source of design errors responsible for re-designs, costly in terms of wasted test chips and in terms of lost time-to-market. Layout design is the step of the analog design flow with the least support by commercially available, computer-aided design tools. This book provides a survey of promising new approaches to automated, analog layout design, which have been described recently and are rapidly being adopted in industry.
Author: Beat Brüderlin
Publisher: Springer Science & Business Media
ISBN: 3642588980
Category : Computers
Languages : en
Pages : 306
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Book Description
Geometric constraint programming increases flexibility in CAD design specifications and leads to new conceptual design paradigms. This volume features a collection of work by leading researchers developing the various aspects of constraint-based product modeling. In an introductory chapter the role of constraints in CAD systems of the future and their implications for the STEP data exchange format are discussed. The main part of the book deals with the application of constraints to conceptual and collaborative design, as well as state-of-the-art mathematical and algorithmic methods for constraint solving.
