Basic Phylogenetic Combinatorics

Basic Phylogenetic Combinatorics PDF

Author: Andreas Dress

Publisher: Cambridge University Press

Published: 2012

Total Pages: 277

ISBN-13: 0521768322

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The first book to systematically introduce the emerging area of phylogenetic combinatorics.

Computing and Combinatorics

Computing and Combinatorics PDF

Author: Thang N. Dinh

Publisher: Springer

Published: 2016-07-19

Total Pages: 634

ISBN-13: 3319426346

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This book constitutes the refereed proceedings of the 22nd International Conference on Computing and Combinatorics, COCOON 2016, held in Ho Chi Minh City, Vietnam, in August 2016. The 50 revised full papers papers presented in this book were carefully reviewed and selected from various submissions. The papers cover various topics including: Theory and Algorithms; Parameterized Complexity and Algorithms; Database and Data Structures; Computational Complexity; Approximation Algorithms; Cryptography; Network and Algorithms; Graph Theory and Algorithms; Computational Geometry; Scheduling Algorithms and Circuit Complexity; Computational Geometry and Computational Biology; and Logic, Algebra and Automata.

ReCombinatorics

ReCombinatorics PDF

Author: Dan Gusfield

Publisher: MIT Press

Published: 2014-07-11

Total Pages: 601

ISBN-13: 0262324482

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Combinatorial structure and algorithms for deducing genetic recombination history, represented by ancestral recombination graphs and other networks, and their role in the emerging field of phylogenetic networks. In this book, Dan Gusfield examines combinatorial algorithms to construct genealogical and exact phylogenetic networks, particularly ancestral recombination graphs (ARGs). The algorithms produce networks (or information about networks) that serve as hypotheses about the true genealogical history of observed biological sequences and can be applied to practical biological problems. Phylogenetic trees have been the traditional means to represent evolutionary history, but there is a growing realization that networks rather than trees are often needed, most notably for recent human history. This has led to the development of ARGs in population genetics and, more broadly, to phylogenetic networks. ReCombinatorics offers an in-depth, rigorous examination of current research on the combinatorial, graph-theoretic structure of ARGs and explicit phylogenetic networks, and algorithms to reconstruct or deduce information about those networks. ReCombinatorics, a groundbreaking contribution to the emerging field of phylogenetic networks, connects and unifies topics in population genetics and phylogenetics that have traditionally been discussed separately and considered to be unrelated. It covers the necessary combinatorial and algorithmic background material; the various biological phenomena; the mathematical, population genetic, and phylogenetic models that capture the essential elements of these phenomena; the combinatorial and algorithmic problems that derive from these models; the theoretical results that have been obtained; related software that has been developed; and some empirical testing of the software on simulated and real biological data.

Computing and Combinatorics

Computing and Combinatorics PDF

Author: Xiaodong Hu

Publisher: Springer Science & Business Media

Published: 2008-06-16

Total Pages: 692

ISBN-13: 3540697322

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The refereed proceedings of the 14th Annual International Computing and Combinatorics Conference, COCOON 2008, held in Dalian, China, in June 2008. The 66 revised full papers presented were carefully reviewed and selected from 172 submissions. The papers are organized in topical sections on algorithms and data structures, algorithmic game theory and online algorithms, automata, languages, logic, and computability, combinatorics related to algorithms and complexity, complexity theory, cryptography, reliability and security, and database theory, computational biology and bioinformatics, computational algebra, geometry, and number theory, graph drawing and information visualization, graph theory and algorithms, communication networks, and optimization, wireless network, network optimization, and scheduling problem.

Combinatorics of Genome Rearrangements

Combinatorics of Genome Rearrangements PDF

Author: Guillaume Fertin

Publisher: MIT Press

Published: 2009

Total Pages: 305

ISBN-13: 0262062828

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A comprehensive survey of a rapidly expanding field of combinatorial optimization, mathematically oriented but offering biological explanations when required. From one cell to another, from one individual to another, and from one species to another, the content of DNA molecules is often similar. The organization of these molecules, however, differs dramatically, and the mutations that affect this organization are known as genome rearrangements. Combinatorial methods are used to reconstruct putative rearrangement scenarios in order to explain the evolutionary history of a set of species, often formalizing the evolutionary events that can explain the multiple combinations of observed genomes as combinatorial optimization problems. This book offers the first comprehensive survey of this rapidly expanding application of combinatorial optimization. It can be used as a reference for experienced researchers or as an introductory text for a broader audience. Genome rearrangement problems have proved so interesting from a combinatorial point of view that the field now belongs as much to mathematics as to biology. This book takes a mathematically oriented approach, but provides biological background when necessary. It presents a series of models, beginning with the simplest (which is progressively extended by dropping restrictions), each constructing a genome rearrangement problem. The book also discusses an important generalization of the basic problem known as the median problem, surveys attempts to reconstruct the relationships between genomes with phylogenetic trees, and offers a collection of summaries and appendixes with useful additional information.

Computing and Combinatorics

Computing and Combinatorics PDF

Author: Lusheng Wang

Publisher: Springer

Published: 2018-06-29

Total Pages: 784

ISBN-13: 3319947761

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This book constitutes the proceedings of the 24th International Conference on Computing and Combinatorics, COCOON 2018, held in Qing Dao, China, in July 2018. The 62 papers presented in this volume were carefully reviewed and selected from 120 submissions. They deal with the areas of algorithms, theory of computation, computational complexity, and combinatorics related to computing.

Phylogeny

Phylogeny PDF

Author: Mike Steel

Publisher: SIAM

Published: 2016-09-29

Total Pages: 293

ISBN-13: 1611974488

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Phylogenetics is a topical and growing area of research. Phylogenies (phylogenetic trees and networks) allow biologists to study and graph evolutionary relationships between different species. These are also used to investigate other evolutionary processes?for example, how languages developed or how different strains of a virus (such as HIV or influenza) are related to each other.÷ This self-contained book addresses the underlying mathematical theory behind the reconstruction and analysis of phylogenies. The theory is grounded in classical concepts from discrete mathematics and probability theory as well as techniques from other branches of mathematics (algebra, topology, differential equations). The biological relevance of the results is highlighted throughout. The author supplies proofs of key classical theorems and includes results not covered in existing books, emphasizes relevant mathematical results derived over the past 20 years, and provides numerous exercises, examples, and figures.÷

The Future of Phylogenetic Systematics

The Future of Phylogenetic Systematics PDF

Author: David Williams

Publisher: Cambridge University Press

Published: 2016-07-21

Total Pages: 509

ISBN-13: 110711764X

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This book documents Willi Hennig's founding of phylogenetic systematics and the relevancy of his work for the future of cladistics.

Bioinformatics and Phylogenetics

Bioinformatics and Phylogenetics PDF

Author: Tandy Warnow

Publisher: Springer

Published: 2019-04-08

Total Pages: 410

ISBN-13: 3030108376

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This volume presents a compelling collection of state-of-the-art work in algorithmic computational biology, honoring the legacy of Professor Bernard M.E. Moret in this field. Reflecting the wide-ranging influences of Prof. Moret’s research, the coverage encompasses such areas as phylogenetic tree and network estimation, genome rearrangements, cancer phylogeny, species trees, divide-and-conquer strategies, and integer linear programming. Each self-contained chapter provides an introduction to a cutting-edge problem of particular computational and mathematical interest. Topics and features: addresses the challenges in developing accurate and efficient software for the NP-hard maximum likelihood phylogeny estimation problem; describes the inference of species trees, covering strategies to scale phylogeny estimation methods to large datasets, and the construction of taxonomic supertrees; discusses the inference of ultrametric distances from additive distance matrices, and the inference of ancestral genomes under genome rearrangement events; reviews different techniques for inferring evolutionary histories in cancer, from the use of chromosomal rearrangements to tumor phylogenetics approaches; examines problems in phylogenetic networks, including questions relating to discrete mathematics, and issues of statistical estimation; highlights how evolution can provide a framework within which to understand comparative and functional genomics; provides an introduction to Integer Linear Programming and its use in computational biology, including its use for solving the Traveling Salesman Problem. Offering an invaluable source of insights for computer scientists, applied mathematicians, and statisticians, this illuminating volume will also prove useful for graduate courses on computational biology and bioinformatics.