On the 2-sum embedding conjecture

JR Lee, DE Poore - Proceedings of the twenty-ninth annual symposium …, 2013 - dl.acm.org
… a member of ⊕2F into L1: We already have an embedding f : V → L1 for G = (V,E) and we
are trying to extend it to an embedding of G⊕2 H, where the 2-sum is along the edge eG = {x, y…

Embeddings of topological graphs: Lossy invariants, linearization, and 2-sums

A Chakrabarti, A Jaffe, JR Lee… - 2008 49th Annual IEEE …, 2008 - ieeexplore.ieee.org
… , and Sinclair put forth the following vast generalization of the planar embedding
conjecture. … , we refer to this as a 2-sum. Note that the 2-sum is always a subgraph of the 2-sum. …

Connes' embedding problem and Tsirelson's problem

M Junge, M Navascues, C Palazuelos… - Journal of …, 2011 - pubs.aip.org
… The one we will use here is known as Kirchberg's QWEP conjecture and it asks whether all
C * -algebras are quotients of C * -algebras with the weak expectation property. This can be …

Linkless embeddings of graphs in 3-space

N Robertson, PD Seymour, R Thomas - Bulletin of the American …, 1993 - ams.org
… projection, it is easy to see that the mod 2 sum ^2lk((j)(Cx), 4>(C2)… independent of the
embedding. By checking an arbitrary … [15] conjectured that a graph has a linkless embedding if …

[HTML][HTML] Fibred coarse embeddings, aT-menability and the coarse analogue of the Novikov conjecture

M Finn-Sell - Journal of Functional Analysis, 2014 - Elsevier
… The property of admitting a fibred coarse embedding into Hilbert space was … conjecture
and in this paper we connect this property to the traditional coarse Baum–Connes conjecture

Non-positive curvature and the planar embedding conjecture

A Sidiropoulos - 2013 IEEE 54th Annual Symposium on …, 2013 - ieeexplore.ieee.org
… Abstract—The planar embedding conjecture asserts that any planar metric admits an embedding
… In this paper we make progress towards resolving this conjecture. We show that every …

8: low-distortion embeddings of finite metric spaces

P Indyk, J Matoušek, A Sidiropoulos - Handbook of discrete and …, 2017 - taylorfrancis.com
… It has also been shown that the conjecture can be reduced to … embedding conjecture) and
the so-called k-sum conjecture … The latter conjecture has been verified special case of edge-…

To the K\"uhnel conjecture on embeddability of -complexes in -manifolds

S Dzhenzher, A Skopenkov - arXiv preprint arXiv:2208.04188, 2022 - arxiv.org
… -embedding. This holds because a homotopy does not change S[2]∗k+1 A(f), and under this
weaker assumption we can make f|3∗k+1 an embedding by … (c) as a conjecture. It would be …

Minimum dimension embedding of finite metric spaces

HS Witsenhausen - Journal of Combinatorial Theory, Series A, 1986 - Elsevier
… In the next section, we will show that f,(6) > 6 and we conjecture equality. … rank n - 2 sum.
(This is the simplest special case of Fisher’s inequality for balanced incomplete block designs.) …

Improving the embedding efficiency of weight matrix-based steganography for grayscale images

L Fan, T Gao, Y Cao - Computers & Electrical Engineering, 2013 - Elsevier
… of the scheme, an improved embedding strategy is developed in this paper. The proposed
scheme can improve both the embedding efficiency and embedding rate when applied to …