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A Systolic Design for Connectivity Problems

IEEE Transactions on Computers, 1984
In this paper we present a design, suited to VLSI implementation, for a one-dimensional array to solve graph connectivity problems. The computational model is relatively primitive in that only the two end cells of the array can interact with the external environment and only adjacent cells in the array are allowed to communicate.
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The connected disk covering problem

Journal of Combinatorial Optimization, 2017
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Yi Xu   +3 more
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More Problems Connected with Convexity

Canadian Mathematical Bulletin, 1968
This is a continuation of the author's article [3], and it contains further problems connected with the theory of convex sets in En. To the list of general references in [3] may be added the recent book [2] on convex polyhedra.1) Let A and B be two convex bodies in E2 and let a packing P = {B1, B2, …} be an infinite sequence of homothetic images of B ...
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On a Problem Connected with Quadratic Regression

Biometrika, 1960
E(Y) = flo +/3lE(X) + ... +4kE(Xk). (1.2) If k 2 and f2 t 0 (k = 1 and Ih1 + 0) then we speak of quadratic (linear) regression. If k = 0, that is if E( YjX) = E( Y) almost everywhere, then we say that Y has constant regression on X. The coefficients ,80, ,l1, . . , Ak are called the regression coefficients. Let X1, X2, ..
Laha, R. G., Lukacs, E.
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Connectivity Problem in Wireless Networks

2010
We study the complexity of the following connectivity problem in wireless networks: for a given placement of n nodes in the plane, the goal is to compute a channel and power assignment that forms strongly connected communication structure spanning all nodes.
Dariusz R. Kowalski, Mariusz A. Rokicki
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Connectivity as problem: security, mobility, liberals, and Christians

2017
This chapter explores the notion of connectivity as making possible forms of security and mobility in different historical periods. Starting from a reflection on present day liberal forms of mobility and security that rely on the active circulation of various elements, the mainstay of the chapter is an exploration of a sixteenth century Christian ...
Lobo-Guerrero, Luis, Kuntz, Friederike
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An extremal problem on the connectivity of graphs

Networks, 1984
AbstractWe solve in this paper a problem proposed by Bi‐weng Zhu at the First Combinatorics and Graph Theory Conference of China. For the minimum degree δ, connectivity k, and line‐connectivity λ of a (p,q) graph, p,q fixed, the maximum values of δ ‐ k, δ ‐ λ, and λ ‐ k are given as well as extremal graphs for which these upper bounds are realized.
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The \(\gamma\)-connected assignment problem

Eur. J. Oper. Res., 1999
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Marcus Poggi de Aragão, Eduardo Uchoa
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Holomorphic Connections and Problems of Lifts

Chinese Annals of Mathematics, Series B
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Salimov, Arif, Gurbanova, Narmina
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On the Maximum Connectivity Improvement Problem

2019
In this paper, we define a new problem called the Maximum Connectivity Improvement (MCI) problem: given a directed graph \(G = (V,E)\), a weight function \(w:V \rightarrow \mathbb {N}_{\ge 0}\), a profit function \(p:V \rightarrow \mathbb {N}_{\ge 0}\), and an integer B, find a set S of at most B edges not in E that maximises \(f(S)=\sum _{v\in V}w_v ...
Federico Coro   +2 more
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