Phylogenetic combinatorics is a branch of discrete applied mathematics concerned with the combinatorial description and analysis of phylogenetic trees and related mathematical structures such as phylogenetic networks and tight spans. Based on a natural conceptual framework, the book focuses on the interrelationship between the principal options for encoding phylogenetic trees: split systems, quartet systems and metrics. Such encodings provide useful options for analyzing and manipulating phylogenetic trees and networks, and are at the basis of much of phylogenetic data processing. This book highlights how each one provides a unique perspective for viewing and perceiving the combinatorial structure of a phylogenetic tree and is, simultaneously, a rich source for combinatorial analysis and theory building. Graduate students and researchers in mathematics and computer science will enjoy exploring this fascinating new area and learn how mathematics may be used to help solve topical problems arising in evolutionary biology.

Running to almost 400 pages, and featuring more than 40 papers, this work on combinatorial optimization and applications will be seen as an important addition to the literature. It constitutes the refereed proceedings of the first International Conference on Combinatorial Optimization and Applications, COCOA 2007, held in Xi'an, China in August of that year. The 29 revised full papers presented together with 8 invited papers and 2 invited presentations were carefully reviewed and selected from 114 submissions and cover both theoretical issues and practical applications.

In diesem Buch setzen sich renommierte Wissenschaftler wie Herbert W. Franke, Wolfgang Dahmen, Achim Bachem, Heinz-Otto Peitgen oder Frieder Nake aus der jeweils unterschiedlichen Sicht ihres Fachgebietes mit dem Thema auseinander. Erleben wir den Beginn eines visuellen Zeitalters? Technisch erzeugte Bilder prägen die alltäglichen Formen moderner Unterhaltung ebenso wie sie in Wissenschaft und Forschung zur Quelle neuer Erkenntnis werden.