Coarse-Graining Large Search Landscapes Using Massive Edge Collapse
A thorough understanding of discrete optimization problem instances is the foundation for the development of successful solving strategies. For this, the analysis of search spaces is a valuable tool. In particular, networks of solutions—referred to as sea
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Hamish Carr · Issei Fujishiro · Filip Sadlo Shigeo Takahashi Editors
Topological Methods in Data Analysis and Visualization V Theory, Algorithms, and Applications
Mathematics and Visualization Series Editors Hans-Christian Hege, Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin, Germany David Hoffman, Department of Mathematics, Stanford University, Stanford, CA, USA Christopher R. Johnson, Scientific Computing and Imaging Institute, Salt Lake City, UT, USA Konrad Polthier, AG Mathematical Geometry Processing, Freie Universität Berlin, Berlin, Germany
The series Mathematics and Visualization is intended to further the fruitful relationship between mathematics and visualization. It covers applications of visualization techniques in mathematics, as well as mathematical theory and methods that are used for visualization. In particular, it emphasizes visualization in geometry, topology, and dynamical systems; geometric algorithms; visualization algorithms; visualization environments; computer aided geometric design; computational geometry; image processing; information visualization; and scientific visualization. Three types of books will appear in the series: research monographs, graduate textbooks, and conference proceedings.
More information about this series at http://www.springer.com/series/4562
Hamish Carr • Issei Fujishiro • Filip Sadlo • Shigeo Takahashi Editors
Topological Methods in Data Analysis and Visualization V Theory, Algorithms, and Applications
Editors Hamish Carr University of Leeds Leeds, UK
Issei Fujishiro Keio University Yokohama, Kanagawa, Japan
Filip Sadlo Heidelberg University, IWR Heidelberg, Germany
Shigeo Takahashi University of Aizu Aizu-Wakamatsu City, Fukushima, Japan
ISSN 1612-3786 ISSN 2197-666X (electronic) Mathematics and Visualization ISBN 978-3-030-43035-1 ISBN 978-3-030-43036-8 (eBook) https://doi.org/10.1007/978-3-030-43036-8 Mathematics Subject Classification: 76M24, 53A45, 62-07, 62H35, 65D18, 65U05, 68U10 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to
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