scholarly journals Geometrically Connected Components of Lubin-Tate Deformation Spaces with Level Structures

2008 ◽  
Vol 4 (4) ◽  
pp. 1215-1232 ◽  
Author(s):  
Matthias Strauch
Keyword(s):  
Connected Components ◽  
Deformation Spaces

scholarly journals On deformation spaces of nonuniform hyperbolic lattices

2016 ◽  
Vol 161 (2) ◽  
pp. 283-303 ◽  
Author(s):  
SUNGWOON KIM ◽  
INKANG KIM
Keyword(s):  
Hyperbolic Manifolds ◽  
Rigidity Theorem ◽  
Connected Components ◽  
Connected Component ◽  
Deformation Spaces ◽  
Representation Variety ◽  
The Real ◽  
Local Rigidity ◽  
Semialgebraic Subset ◽  
Hyperbolic Lattices

AbstractLet Γ be a nonuniform lattice acting on the real hyperbolic n-space. We show that in dimension greater than or equal to 4, the volume of a representation is constant on each connected component of the representation variety of Γ in SO(n, 1). Furthermore, in dimensions 2 and 3, there is a semialgebraic subset of the representation variety such that the volume of a representation is constant on connected components of the semialgebraic subset. Combining our approach with the main result of [2] gives a new proof of the local rigidity theorem for nonuniform hyperbolic lattices and the analogue of Soma's theorem, which shows that the number of orientable hyperbolic manifolds dominated by a closed, connected, orientable 3-manifold is finite, for noncompact 3-manifolds.

The algorithm of the color signal recognition at landing an unmanned aerial vehicle on an aircraft carrier in autonomous mode

2020 ◽  
pp. 78
Keyword(s):  
Unmanned Aerial Vehicle ◽  
Treatment Method ◽  
Recognition Algorithm ◽  
Connected Components ◽  
Preliminary Treatment ◽  
Signal Recognition ◽  
Aircraft Carrier ◽  
Halftone Image ◽  
Glide Path ◽  
Aerial Vehicle

The movement along the glide path of an unmanned aerial vehicle during landing on an aircraft carrier is investigated. The implementation of this task is realized in the conditions of radio silence of the aircraft carrier. The algorithm for treatment information from an optical landing system installed on an aircraft carrier is developed. The algorithm of the color signal recognition assumes the usage of the image frame preliminary treatment method via a downsample function, that performs the decimation process, the HSV model, the Otsu’s method for calculating the binarization threshold for a halftone image, and the method of separating the connected Two-Pass components. Keywords unmanned aerial vehicle; aircraft carrier; approach; glide path; optical landing system; color signal recognition algorithm; decimation; connected components; halftone image binarization

scholarly journals Upperbounds on the probability of finding marked connected components using quantum walks

2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Adam Glos ◽  
Nikolajs Nahimovs ◽  
Konstantin Balakirev ◽  
Kamil Khadiev
Keyword(s):  
Quantum Walks ◽  
Connected Components

AN EFFICIENT DISTRIBUTED ALGORITHM FOR 3-EDGE-CONNECTIVITY

2006 ◽  
Vol 17 (03) ◽  
pp. 677-701 ◽  
Author(s):  
YUNG H. TSIN
Keyword(s):  
Distributed Algorithm ◽  
Computer Network ◽  
Connected Components ◽  
Message Complexity ◽  
Edge Connectivity ◽  
Worst Case ◽  
Dense Networks

A distributed algorithm for finding the cut-edges and the 3-edge-connected components of an asynchronous computer network is presented. For a network with n nodes and m links, the algorithm has worst-case [Formula: see text] time and O(m + nhT) message complexity, where hT < n. The algorithm is message optimal when [Formula: see text] which includes dense networks (i.e. m ∈ Θ(n2)). The previously best known distributed algorithm has a worst-case O(n3) time and message complexity.

EXTENDING RESULTS OF MORGAN AND PARKER ABOUT COMMUTING GRAPHS

2021 ◽  
pp. 1-9
Author(s):  
NICOLAS F. BEIKE ◽  
RACHEL CARLETON ◽  
DAVID G. COSTANZO ◽  
COLIN HEATH ◽  
MARK L. LEWIS ◽  
...  
Keyword(s):  
Frobenius Group ◽  
Connected Components ◽  
Commuting Graph

Abstract Morgan and Parker proved that if G is a group with ${\textbf{Z}(G)} = 1$ , then the connected components of the commuting graph of G have diameter at most $10$ . Parker proved that if, in addition, G is solvable, then the commuting graph of G is disconnected if and only if G is a Frobenius group or a $2$ -Frobenius group, and if the commuting graph of G is connected, then its diameter is at most $8$ . We prove that the hypothesis $Z (G) = 1$ in these results can be replaced with $G' \cap {\textbf{Z}(G)} = 1$ . We also prove that if G is solvable and $G/{\textbf{Z}(G)}$ is either a Frobenius group or a $2$ -Frobenius group, then the commuting graph of G is disconnected.

DSP-CC-: I/O Efficient Parallel Computation of Connected Components in Billion-Scale Networks

2015 ◽  
Vol 27 (10) ◽  
pp. 2658-2671 ◽  
Author(s):  
Min-Soo Kim ◽  
Sangyeon Lee ◽  
Wook-Shin Han ◽  
Himchan Park ◽  
Jeong-Hoon Lee
Keyword(s):  
Parallel Computation ◽  
Connected Components
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