منابع مشابه
Some remarks on the odd hadwiger's conjecture
We say that H has an odd complete minor of order at least l if there are l vertex disjoint trees in H such that every two of them are joined by an edge, and in addition, all the vertices of trees are two-colored in such a way that the edges within the trees are bichromatic, but the edges between trees are monochromatic. Gerards and Seymour conjectured that if a graph has no odd complete minor o...
متن کاملSome remarks on the Shannon capacity of odd cycles
We tackle the problem of estimating the Shannon capacity of cycles of odd length. We present some strategies which allow us to nd tight bounds on the Shannon capacity of cycles of various odd lengths, and suggest that the diiculty of obtaining a general result may be related to diierent behaviours of the capacity, depending on the \structure" of the odd integer representing the cycle length. We...
متن کاملSome Remarks on Dodgson's Voting Rule
Sparked by a remarkable result due to Hemaspaandra et al. [1], the voting rule attributed to Charles Dodgson (aka Lewis Carroll) has become one of the most studied voting rules in computational social choice. However, the computer science literature often neglects that Dodgson’s rule has some serious shortcomings as a choice procedure. This short note contains four examples revealing Dodgson’s ...
متن کاملSynchrotron Radiation Studies on Even-Odd and Odd-Even Nylons
Aliphatic polyamides derived from odd diamine or odd dicarboxylic acid units cannot adopt a conventional sheet structure when molecular chains have an all trans conformation. However, typical fiber diffraction patterns of this sheet structure were observed in several polyamides derived from odd units such as nylons 65 and 56. Consequently, a new structure based on the establishment of intermole...
متن کاملSome Remarks on Scattering Resonances in Even Dimensional Euclidean Scattering
The purpose of this paper is to prove some results about quantum mechanical black box scattering in even dimensions d ≥ 2. We study the scattering matrix and prove some identities which hold for its meromorphic continuation onto Λ, the Riemann surface of the logarithm function. We study the multiplicities of the poles of the continued scattering matrix on each sheet of Λ and relate these to the...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1954
ISSN: 0033-068X
DOI: 10.1143/ptp.12.107