Geodesic
Isomorphisms of Mendelian populations
Applications of Mathematics, Tome 19 (1974) no. 6, pp. 386-391
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The notion of population, mendelian population, isomorphism of populations, phenotype system, phenogram are formalized. The one-one correspondence between isomorphisms of the mendelian population and permutations of the sets of alleles and the set of loci is shown.
The notion of population, mendelian population, isomorphism of populations, phenotype system, phenogram are formalized. The one-one correspondence between isomorphisms of the mendelian population and permutations of the sets of alleles and the set of loci is shown.
DOI : 10.21136/AM.1974.103556
Classification : 92A10, 92D10 
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Pellar, Lukáš. Isomorphisms of Mendelian populations. Applications of Mathematics, Tome 19 (1974) no. 6, pp. 386-391. doi: 10.21136/AM.1974.103556

[1] Ю. У. Любич: Основные понятия и теоремы эволюционной генетики свободных популяций. Успехи Мат. Наук 5 (1971), 51 - 116. | Zbl

[2] D. L. Hartl T. Maruyama: Phenogram enumeration: the number of regular genotype-phenotype correspondences in genetic systems. J. Theor. Biol. 20 (1968), 129- 163. | DOI

[3] N. G. de Bruijn: Polya's theory of counting. Chapter 5 in Applied Combinatorial Mathematics, edited by E. F. Beckenbach. J. Wiley and Sons, New York, 1964. | Zbl

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