Beyond Planar Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Beyond Planar Graphs write by Seok-Hee Hong. This book was released on 2020-09-30. Beyond Planar Graphs available in PDF, EPUB and Kindle. 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.
New Parameters for Beyond-planar Graphs
New Parameters for Beyond-planar Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Parameters for Beyond-planar Graphs write by Thomas Schneck. This book was released on 2020. New Parameters for Beyond-planar Graphs available in PDF, EPUB and Kindle.
Discrete Mathematics
Discrete Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Mathematics write by Oscar Levin. This book was released on 2018-07-30. Discrete Mathematics available in PDF, EPUB and Kindle. Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Planar Graphs
Planar Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Planar Graphs write by Takao Nishizeki. This book was released on 2008-01-01. Planar Graphs available in PDF, EPUB and Kindle. This text features most of the important theorems and algorithms for planar graphs. Suitable as a textbook, it is also useful for researchers and includes an extensive reference section. 1988 edition.
Discrete Mathematics
Discrete Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Mathematics write by László Lovász. This book was released on 2006-05-10. Discrete Mathematics available in PDF, EPUB and Kindle. Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
