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This book is the first general and extensive review on the algorithmics and mathematical results of beyond planar graphs. Most real-world data sets are relational and can be modelled as graphs consisting of vertices and edges. Planar graphs are fundamental for both graph theory and graph algorithms and are extensively studied. Structural properties and fundamental algorithms for planar graphs have been discovered. However, most real-world graphs, such as social networks and biological networks, are non-planar. To analyze and visualize such real-world networks, it is necessary to solve fundamental mathematical and algorithmic research questions on sparse non-planar graphs, called beyond planar graphs.This book is based on the National Institute of Informatics (NII) Shonan Meeting on algorithmics on beyond planar graphs held in Japan in November, 2016. The book consists of 13 chapters that represent recent advances in various areas of beyond planar graph research. The main aims and objectives of this book include 1) to timely provide a state-of-the-art survey and a bibliography on beyond planar graphs; 2) to set the research agenda on beyond planar graphs by identifying fundamental research questions and new research directions; and 3) to foster cross-disciplinary research collaboration between computer science (graph drawing and computational geometry) and mathematics (graph theory and combinatorics). New algorithms for beyond planar graphs will be in high demand by practitioners in various application domains to solve complex visualization problems. This book therefore will be a valuable resource for researchers in graph theory, algorithms, and theoretical computer science, and will stimulate further deep scientific investigations into many areas of beyond planar graphs.

Discrete mathematics --- Mathematics --- Computer. Automation --- grafieken --- informatica --- externe fixatie (geneeskunde

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This book constitutes the refereed proceedings of the 19th International Symposium on Algorithms and Computation, ISAAC 2008, held in Gold Coast, Australia in December 2008. The 78 revised full papers together with 3 invited talks presented were carefully reviewed and selected from 229 submissions for inclusion in the book. The papers are organized in topical sections on approximation algorithms, online algorithms, data structure and algorithms, game theory, graph algorithms, fixed parameter tractability, distributed algorithms, database, approximation algorithms, computational biology, computational geometry, complexity, networks, optimization as well as routing.

Computer algorithms --- Numerical calculations --- Data processing --- Numerical analysis --- Data structures (Computer scienc. --- Information theory. --- Computer science --- Computer software. --- Computational complexity. --- Electronic data processing. --- Data Structures. --- Theory of Computation. --- Computational Mathematics and Numerical Analysis. --- Algorithm Analysis and Problem Complexity. --- Discrete Mathematics in Computer Science. --- Numeric Computing. --- Mathematics. --- ADP (Data processing) --- Automatic data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Complexity, Computational --- Electronic data processing --- Machine theory --- Software, Computer --- Computer systems --- Computer mathematics --- Discrete mathematics --- Communication theory --- Communication --- Cybernetics --- Automation --- Mathematics --- Data structures (Computer science). --- Computers. --- Computer mathematics. --- Algorithms. --- Computer science—Mathematics. --- Numerical analysis. --- Mathematical analysis --- Algorism --- Algebra --- Arithmetic --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Calculators --- Cyberspace --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Foundations --- Artificial intelligence—Data processing. --- Computer science. --- Mathematics—Data processing. --- Discrete mathematics. --- Data Science. --- Numerical Analysis. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Informatics --- Science

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This book constitutes the proceedings of the 15th International Conference on Algorithms and Computation, WALCOM 2021, which was planned to take place in Yangon, Myanmar in February/March 2021. The conference changed to an online format due to the COVID-19 pandemic. The 24 full papers included in this volume were carefully reviewed and selected from a total of 60 submissions. They cover diverse areas of algorithms and computation, such as approximation algorithms, algorithmic graph theory and combinatorics, combinatorial algorithms, combinatorial optimization, computational biology, computational complexity, computational geometry, discrete geometry, data structures, experimental algorithm methodologies, graph algorithms, graph drawing, parallel and distributed algorithms, parameterized algorithms, parameterized complexity, network optimization, online algorithms, randomized algorithms, and string algorithms. .

Computers. --- Data structures (Computer science). --- Computer science—Mathematics. --- Computer graphics. --- Application software. --- Theory of Computation. --- Data Structures. --- Discrete Mathematics in Computer Science. --- Computer Graphics. --- Information Systems Applications (incl. Internet). --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Digital techniques --- Computer algorithms --- Computer science. --- Information theory. --- Discrete mathematics. --- Data Structures and Information Theory. --- Computer and Information Systems Applications. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Communication theory --- Communication --- Informatics --- Science --- Computer science --- Mathematics.

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Discrete mathematics --- Mathematics --- Computer. Automation --- grafieken --- informatica --- externe fixatie (geneeskunde

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Computer graphics --- Graph theory --- Infographie --- Théorie des graphes --- Congresses. --- Congrès --- Technology - General --- Computer Science --- Engineering & Applied Sciences --- Computer science. --- Data structures (Computer science). --- Algorithms. --- Computer science --- Computer graphics. --- Computer Science. --- Discrete Mathematics in Computer Science. --- Algorithm Analysis and Problem Complexity. --- Computer Graphics. --- Data Structures. --- Mathematics. --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Computer mathematics --- Discrete mathematics --- Algorism --- Algebra --- Arithmetic --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Informatics --- Science --- Digital techniques --- Mathematics --- Foundations --- Computational complexity. --- Computer software. --- Data structures (Computer scienc. --- Software, Computer --- Computer systems --- Complexity, Computational --- Machine theory --- Computer science—Mathematics. --- Discrete mathematics. --- Artificial intelligence—Data processing. --- Data Science. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis