# Phenotype space and kinship assignment for the simpson index

RAIRO - Theoretical Informatics and Applications (2007)

- Volume: 42, Issue: 2, page 323-333
- ISSN: 0988-3754

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topLitow, Bruce, and Konovalov, Dmitry. "Phenotype space and kinship assignment for the simpson index." RAIRO - Theoretical Informatics and Applications 42.2 (2007): 323-333. <http://eudml.org/doc/92874>.

@article{Litow2007,

abstract = {
We investigate the computational structure of the biological kinship assignment problem by abstracting away all biological details that are irrelevant to computation. The computational structure depends on phenotype space, which we formally define.
We illustrate this approach by exhibiting an approximation algorithm for
kinship assignment in the case of the Simpson index with a priori error bound and
running time that is polynomial in the bit size of the population, but exponential in phenotype space size.
This algorithm is based on a relaxed version of the assignment problem, where fractional assignments (over the reals) are permitted.
},

author = {Litow, Bruce, Konovalov, Dmitry},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Population biology; kinship assignment complexity; Tarski algebra; phenotype space},

language = {eng},

month = {9},

number = {2},

pages = {323-333},

publisher = {EDP Sciences},

title = {Phenotype space and kinship assignment for the simpson index},

url = {http://eudml.org/doc/92874},

volume = {42},

year = {2007},

}

TY - JOUR

AU - Litow, Bruce

AU - Konovalov, Dmitry

TI - Phenotype space and kinship assignment for the simpson index

JO - RAIRO - Theoretical Informatics and Applications

DA - 2007/9//

PB - EDP Sciences

VL - 42

IS - 2

SP - 323

EP - 333

AB -
We investigate the computational structure of the biological kinship assignment problem by abstracting away all biological details that are irrelevant to computation. The computational structure depends on phenotype space, which we formally define.
We illustrate this approach by exhibiting an approximation algorithm for
kinship assignment in the case of the Simpson index with a priori error bound and
running time that is polynomial in the bit size of the population, but exponential in phenotype space size.
This algorithm is based on a relaxed version of the assignment problem, where fractional assignments (over the reals) are permitted.

LA - eng

KW - Population biology; kinship assignment complexity; Tarski algebra; phenotype space

UR - http://eudml.org/doc/92874

ER -

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