What's true for Escherichia coli is also true for elephants
نویسندگان
چکیده
منابع مشابه
Goldberg’s Conjecture Is True for Random Multigraphs
In the 70s, Goldberg, and independently Seymour, conjectured that for any multigraph G, the chromatic index χ′(G) satisfies χ′(G) ≤ max{∆(G) + 1, dρ(G)e}, where ρ(G) = max{ e(G[S]) b|S|/2c | S ⊆ V }. We show that their conjecture (in a stronger form) is true for random multigraphs. Let M(n,m) be the probability space consisting of all loopless multigraphs with n vertices and m edges, in which m...
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The Prime Power Conjecture (PPC) states that abelian planar difference sets of order n exist only for n a prime power. Evans and Mann [1] verified this for cyclic difference sets for n ≤ 1600. In this paper we use the Mann test to verify the PPC for n ≤ 2, 000, 000.
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A common model for p-values from multiple hypothesis tests is the “two-groups” model[1], where the p-values are assumed to be drawn from the mixture distribution: p ∼ π0f0 + (1− π0)f1 where π0 is the proportion of p-values corresponding to tests where the null hypothesis is true, f0(·) is the density of the p-values under the null hypotheses and f1(·) is the density of p-values under the altern...
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Let S be a subset of the units in Zn. Let Γ be a circulant graph of order n (a Cayley graph of Zn) such that if ij ∈ E(Γ), then i − j (mod n) ∈ S. Toida conjectured that if Γ′ is another circulant graph of order n, then Γ and Γ′ are isomorphic if and only if they are isomorphic by a group automorphism of Zn. In this paper, we prove that Toida’s conjecture is true. We further prove that Toida’s ...
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ژورنال
عنوان ژورنال: BJOG: An International Journal of Obstetrics & Gynaecology
سال: 2015
ISSN: 1470-0328
DOI: 10.1111/1471-0528.13507