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Constrained Graph Layouts
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.
Optimizing Crossings in Circular-Arc Drawings and Circular Layouts
A graph is an abstract network that represents a set of objects, called vertices, and relations between these objects, called edges. Graphs can model various networks. For example, a social network where the vertices correspond to users of the network and the edges represent relations between the users. To better see the structure of a graph it is helpful to visualize it. A standard visualization is a node-link diagram in the Euclidean plane. In such a representation the vertices are drawn as points in the plane and edges are drawn as Jordan curves between every two vertices connected by an edge. Edge crossings decrease the readability of a drawing, therefore, Crossing Optimization is a fundamental problem in Computer Science. This book explores the research frontiers and introduces novel approaches in Crossing Optimization.
Graph Drawing and Network Visualization
This book constitutes revised selected papers from the 24th International Symposium on Graph Drawing and Network Visualization, GD 2016, held in Athens, Greece, in September 2016. The 45 papers presented in this volume were carefully reviewed and selected from 99 submissions. They were organized in topical sections named: large graphs and clutter avoidance; clustered graphs; planar graphs, layered and tree drawings; visibility representations; beyond planarity; crossing minimization and crossing numbers; topological graph theory; special graph embeddings; dynamic graphs, contest report.
Graph Drawing and Network Visualization
This book constitutes the refereed proceedings of the 27th International Symposium on Graph Drawing and Network Visualization, GD 2019, held in Prague, Czech Republic, in September 2019. The 42 papers and 12 posters presented in this volume were carefully reviewed and selected from 113 submissions. They were organized into the following topical sections: Cartograms and Intersection Graphs, Geometric Graph Theory, Clustering, Quality Metrics, Arrangements, A Low Number of Crossings, Best Paper in Track 1, Morphing and Planarity, Parameterized Complexity, Collinearities, Topological Graph Theory, Best Paper in Track 2, Level Planarity, Graph Drawing Contest Report, and Poster Abstracts.
Network-Design Problems in Graphs and on the Plane
Given points in the plane, connect them using minimum ink. Though the task seems simple, it turns out to be very time consuming. In fact, scientists believe that computers cannot efficiently solve it. So, do we have to resign? This book examines such NP-hard network-design problems, from connectivity problems in graphs to polygonal drawing problems on the plane. First, we observe why it is so hard to optimally solve these problems. Then, we go over to attack them anyway. We develop fast algorithms that find approximate solutions that are very close to the optimal ones. Hence, connecting points with slightly more ink is not hard.
Rundgärtchen
Aus Anlass des siebzigsten Geburtstages von Hans Gärtner, ehedem Professor für Klassische Philologie in Regensburg, haben Kollegen, Schüler und andere Weggefährten ein enkyklion kepion (Rundgärtchen) zu Ehren des Jubilars bepflanzt. Um die schier enzyklopädische Breite der fachwissenschaftlichen Interessen des stets 'zweisprachigen' Editors, Übersetzers, Interpreten, Lexikographen, Rezensenten und Bibliographen Hans Gärtner wenigstens anzudeuten, hat sich eine stattliche Anzahl arrivierter und jüngerer Gelehrter aus verschiedenen Bereichen der Wissenschaften vom Klassischen Altertum zusammengefunden. So spiegeln die thematischen Blöcke der Festschrift auch seine Hauptgebiete in Lehre und Forschung wider. Sie widmen sich der griechischen und lateinischen Poesie, Historie (also: Geschichtsschreibung, Roman und Biographie) und Fachliteratur (einschließlich: Philosophie). Der Band spricht in seiner solcherart arrangierten Buntheit nicht nur Klassische Philologen, sondern alle an, die aus der antiken Literatur in ihrer gesamten zeitlichen und generischen Breite und Vielfalt lernen wollen.
Business Week
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Graph Drawing and Network Visualization
This book constitutes revised selected papers from the 25th International Symposium on Graph Drawing and Network Visualization, GD 2017, held in Boston, MA, USA, in September 2017.The 34 full and 9 short papers presented in this volume were carefully reviewed and selected from 87 submissions. Also included in this book are 2 abstracts of keynote presentations, 16 poster abstracts, and 1 contest report. The papers are organized in topical sections named: straight-line representations; obstacles and visibility; topological graph theory; orthogonal representations and book embeddings; evaluations; tree drawings; graph layout designs; point-set embeddings; special representations; and beyond planarity.
