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Bioconsensus
 
Edited by: M. F. Janowitz Rutgers University, Piscataway, NJ
F.-J. Lapointe University of Montreal, Montreal, QC, Canada
F. R. McMorris Illinois Institute of Technology, Chicago, IL
B. Mirkin Birkbeck College, London, England
F. S. Roberts Rutgers University, Piscataway, NJ
A co-publication of the AMS and DIMACS
Bioconsensus
Hardcover ISBN:  978-0-8218-3197-7
Product Code:  DIMACS/61
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-4019-0
Product Code:  DIMACS/61.E
List Price: $93.00
MAA Member Price: $83.70
AMS Member Price: $74.40
Hardcover ISBN:  978-0-8218-3197-7
eBook: ISBN:  978-1-4704-4019-0
Product Code:  DIMACS/61.B
List Price: $192.00 $145.50
MAA Member Price: $172.80 $130.95
AMS Member Price: $153.60 $116.40
Bioconsensus
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Bioconsensus
Edited by: M. F. Janowitz Rutgers University, Piscataway, NJ
F.-J. Lapointe University of Montreal, Montreal, QC, Canada
F. R. McMorris Illinois Institute of Technology, Chicago, IL
B. Mirkin Birkbeck College, London, England
F. S. Roberts Rutgers University, Piscataway, NJ
A co-publication of the AMS and DIMACS
Hardcover ISBN:  978-0-8218-3197-7
Product Code:  DIMACS/61
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBook ISBN:  978-1-4704-4019-0
Product Code:  DIMACS/61.E
List Price: $93.00
MAA Member Price: $83.70
AMS Member Price: $74.40
Hardcover ISBN:  978-0-8218-3197-7
eBook ISBN:  978-1-4704-4019-0
Product Code:  DIMACS/61.B
List Price: $192.00 $145.50
MAA Member Price: $172.80 $130.95
AMS Member Price: $153.60 $116.40
  • Book Details
     
     
    DIMACS - Series in Discrete Mathematics and Theoretical Computer Science
    Volume: 612003; 242 pp
    MSC: Primary 05; 06; 62; 91; 92;

    Consensus methods developed in the context of voting, decision making, and other areas of the social and behavioral sciences have a variety of applications in the biological sciences, originally in taxonomy and evolutionary biology, and more recently in molecular biology. Typically, several alternatives (such as alternative phylogenetic trees, molecular sequences, or alignments) are produced using different methods or under different models, and then one needs to find a consensus solution.

    This volume is based on two DIMACS working group meetings on “bioconsensus”. It provides a valuable introduction and reference to the various aspects of this rapidly developing field. The meetings brought together mathematical and biological scientists to discuss the uses in the biological sciences of methods of consensus and social choice. These two lively meetings contributed much toward establishing the new field of “bioconsensus”.

    Yet this book is much more than just a report of two meetings. It includes some historical background, as well as a substantial introduction to the axiomatic foundations of the field of bioconsensus and some practical applications of consensus methods to real data. Also included are contributed papers from experts who were not at the meetings. The book is intended for mathematical biologists, evolutionary biologists, and computer scientists.

    Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).

    Readership

    Graduate students and research mathematicians interested in biology, evolutionary biology, and computer science.

  • Table of Contents
     
     
    • Part I. Axiomatic considerations
    • Axiomatics in group choice and bioconsensus
    • The Arrovian program from weak orders to hierarchical and tree-like relations
    • Consensus $n$-trees, weak independence, and veto power
    • The size of a maximum agreement subtree for random binary trees
    • An injective set representation of closed systems of sets
    • Part II. Data analysis considerations
    • Consensus list colorings of graphs and physical mapping of DNA
    • A top-down method for building genome classification trees with linear binary hierarchies
    • An application of seriation to agent development consensus: A genetic algorithm approach
    • Achieving consensus of long genomic sequences with the $W$-curve
    • Flipping: A supertree construction method
    • Part III. Practical considerations
    • A classification of consensus methods for phylogenetics
    • A view of supertree methods
    • Reduced consensus
    • How good can a consensus get? Assessing the reliability of consensus trees in phylogenetic studies
    • Increasing phylogenetic accuracy with global congruence
    • MRP supertree construction in the consensus setting
  • Reviews
     
     
    • Bioconsensus presents mathematicians and computer scientists with a new application area ... and important open problems ... an important book that can stimulate collaborative research between mathematicians, statisticians, computer scientists, and biologists.

      Society of Systematic Biologists
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 612003; 242 pp
MSC: Primary 05; 06; 62; 91; 92;

Consensus methods developed in the context of voting, decision making, and other areas of the social and behavioral sciences have a variety of applications in the biological sciences, originally in taxonomy and evolutionary biology, and more recently in molecular biology. Typically, several alternatives (such as alternative phylogenetic trees, molecular sequences, or alignments) are produced using different methods or under different models, and then one needs to find a consensus solution.

This volume is based on two DIMACS working group meetings on “bioconsensus”. It provides a valuable introduction and reference to the various aspects of this rapidly developing field. The meetings brought together mathematical and biological scientists to discuss the uses in the biological sciences of methods of consensus and social choice. These two lively meetings contributed much toward establishing the new field of “bioconsensus”.

Yet this book is much more than just a report of two meetings. It includes some historical background, as well as a substantial introduction to the axiomatic foundations of the field of bioconsensus and some practical applications of consensus methods to real data. Also included are contributed papers from experts who were not at the meetings. The book is intended for mathematical biologists, evolutionary biologists, and computer scientists.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).

Readership

Graduate students and research mathematicians interested in biology, evolutionary biology, and computer science.

  • Part I. Axiomatic considerations
  • Axiomatics in group choice and bioconsensus
  • The Arrovian program from weak orders to hierarchical and tree-like relations
  • Consensus $n$-trees, weak independence, and veto power
  • The size of a maximum agreement subtree for random binary trees
  • An injective set representation of closed systems of sets
  • Part II. Data analysis considerations
  • Consensus list colorings of graphs and physical mapping of DNA
  • A top-down method for building genome classification trees with linear binary hierarchies
  • An application of seriation to agent development consensus: A genetic algorithm approach
  • Achieving consensus of long genomic sequences with the $W$-curve
  • Flipping: A supertree construction method
  • Part III. Practical considerations
  • A classification of consensus methods for phylogenetics
  • A view of supertree methods
  • Reduced consensus
  • How good can a consensus get? Assessing the reliability of consensus trees in phylogenetic studies
  • Increasing phylogenetic accuracy with global congruence
  • MRP supertree construction in the consensus setting
  • Bioconsensus presents mathematicians and computer scientists with a new application area ... and important open problems ... an important book that can stimulate collaborative research between mathematicians, statisticians, computer scientists, and biologists.

    Society of Systematic Biologists
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.