منابع مشابه
Towards the Willmore conjecture
We develop a variety of approaches, mainly using integral geometry, to proving that the integral of the square of the mean curvature of a torus immersed in R3 must always take a value no less than 2π2. Our partial results, phrased mainly within the S3-formulation of the problem, are typically strongest when the Gauss curvature can be controlled in terms of extrinsic curvatures or when the torus...
متن کاملTowards the Albertson Conjecture
Albertson conjectured that if a graph G has chromatic number r, then the crossing number of G is at least as large as the crossing number of Kr, the complete graph on r vertices. Albertson, Cranston, and Fox verified the conjecture for r 6 12. In this paper we prove it for r 6 16. Dedicated to the memory of Michael O. Albertson.
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We consider the Maldacena conjecture applied to the near horizon geometry of a D1-brane in the supergravity approximation and present numerical results of a test of the conjecture against the boundary field theory calculation using supersymmetric discrete light-cone quantization (SDLCQ). We present numerical results with approximately 1000 times as many states as we previously considered. These...
متن کاملTowards the Graceful Tree Conjecture: A Survey
A graceful labelling of an undirected graph G with n edges is a one-to-one function from the set of vertices of G to the set {0, 1, 2, . . . , n} such that the induced edge labels are all distinct. An induced edge label is the absolute value of the difference between the two end-vertex labels. The Graceful Tree Conjecture states that all trees have a graceful labelling. In this survey we presen...
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In her dissertation, Angela Hicks showed that, to reduce the HMZ shuffle conjecture, it is sufficient to find a certain bijection between two sets of two-part parking functions which, roughly speaking, either swaps the two parts of the parking function or transfers a car from the second part to the first part and which satisfies certain nice properties. I will consider a special case where this...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2013
ISSN: 1029-8479
DOI: 10.1007/jhep04(2013)022