منابع مشابه
Odd Independent Transversals are Odd
We put the final piece into a puzzle first introduced by Bollobás, Erdős and Szemerédi in 1975. For arbitrary positive integers n and r we determine the largest integer ∆ = ∆(r, n), for which any r-partite graph with partite sets of size n and of maximum degree less than ∆ has an independent transversal. This value was known for all even r. Here we determine the value for odd r and find that ∆(...
متن کاملSkolem Odd Difference Mean Graphs
In this paper we define a new labeling called skolem odd difference mean labeling and investigate skolem odd difference meanness of some standard graphs. Let G = (V,E) be a graph with p vertices and q edges. G is said be skolem odd difference mean if there exists a function f : V (G) → {0, 1, 2, 3, . . . , p + 3q − 3} satisfying f is 1−1 and the induced map f : E(G) → {1, 3, 5, . . . , 2q−1} de...
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An update to Volker Grimm and colleagues' Overview, Design concepts and Details (ODD) protocol for documenting individual and agent based models (I/ABM) has recently been published in Ecological Modelling. This renames the 'State variables and scales' element to 'Entities, state variables and scales', and the 'Input' element to 'Input data', introduces two new Design concepts ('Basic principles...
متن کاملHigh - K states in the odd - odd nuclide 180 Re
H. M. El-Masri,1 P. M. Walker,1,∗ G. D. Dracoulis,2 T. Kibédi,2 A. P. Byrne,2 A. M. Bruce,3 J. N. Orce,3 A. Emmanouilidis,3 D. M. Cullen,4 C. Wheldon,5 and F. R. Xu6 1Department of Physics, University of Surrey, Guildford, Surrey GU2 7XH, United Kingdom 2Department of Nuclear Physics, RSPhysSE, Australian National University, Canberra, ACT 0200, Australia 3School of Engineering, University of B...
متن کاملDefinite Descriptions and Dijkstra's Odd Powers of Odd Integers Problem
The use of Frege-Russell style definite descriptions for giving meaning to functions has been long established and we investigate their use in the development of Functional Programs and from these to the development of correct imperative programs. In particular, we investigate the development of a functional program for a problem, "Odd powers of odd integers", discussed by Dijsktra. If the corr...
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ژورنال
عنوان ژورنال: British Dental Journal
سال: 2009
ISSN: 0007-0610,1476-5373
DOI: 10.1038/sj.bdj.2009.1021