Results 31 to 40 of about 6,990,145 (303)

Computation of the Hausdorff Distance between Two Compact Convex Sets

open access: yesAlgorithms, 2023
The Hausdorff distance between two closed sets has important theoretical and practical applications. Yet apart from finite point clouds, there appear to be no generic algorithms for computing this quantity.
Kenneth Lange
doaj   +1 more source

NP-completeness of weakly convex and convex dominating set decision problems [PDF]

open access: yesOpuscula Mathematica, 2004
The convex domination number and the weakly convex domination number are new domination parameters. In this paper we show that the decision problems of convex and weakly convex dominating sets are \(NP\)-complete for bipartite and split graphs.
Joanna Raczek
doaj  

Number of Spinal-Convex Polyominoes

open access: yesJournal of Kufa for Mathematics and Computer, 2020
In his paper we describe a restricted class of polyominoes called spinal-convex polyominoes. Spinal-convex polyominoes created by two columns such that column 1 (respectively, column2) with at most two set columns sequence of adjacent ominoes and column ...
Mustafa A. Sabri, Eman F. Mohomme
doaj   +1 more source

Strongly convex set-valued maps

open access: yesJournal of Global Optimization, 2013
We introduce the notion of strongly $$t$$-convex set-valued maps and present some properties of it. In particular, a Bernstein–Doetsch and Sierpiński-type theorems for strongly midconvex set-valued maps, as well as a Kuhn-type result are obtained.
H. Leiva   +3 more
semanticscholar   +1 more source

On Bishop–Phelps and Krein–Milman Properties

open access: yesMathematics, 2023
A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
doaj   +1 more source

About Directed d-Convex Simple Graphs [PDF]

open access: yesComputer Science Journal of Moldova, 2008
In this article we introduce a pseudo-metric on directed graphs, which forms there a family of convex sets. The graphs without d-convex sets, except empty set, sets of one vertex and set of all vertexes, are called d-convex simple.
Nadejda Sur, Sergiu Cataranciuc
doaj  

Dynamic Locomotion in the MIT Cheetah 3 Through Convex Model-Predictive Control

open access: yesIEEE/RJS International Conference on Intelligent RObots and Systems, 2018
This paper presents an implementation of model predictive control (MPC) to determine ground reaction forces for a torque-controlled quadruped robot. The robot dynamics are simplified to formulate the problem as convex optimization while still capturing ...
J. Carlo   +4 more
semanticscholar   +1 more source

Central limit theorems for random polygons in an arbitrary convex set [PDF]

open access: yes, 2010
We study the probability distribution of the area and the number of vertices of random polygons in a convex set $K\subset\mathbb{R}^2$. The novel aspect of our approach is that it yields uniform estimates for all convex sets $K\subset\mathbb{R}^2 ...
J. Pardon
semanticscholar   +1 more source

On Infinitesimal Approximation of a Continuous Function [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2010
If  and  are convex subsets in , and  in  for all . If the approximation family is the set                         An Infinitesimal approximation of  an element in  established in [4],[5].
Tahir Ismail
doaj   +1 more source

An efficient planar incremental convex hull algorithm to find the edges of the boundary polygon of the convex hull of a set of points

open access: yesCeylon Journal of Science, 2021
The definition of the convex hull of a set of points is the smallest convex set containing all the points. Many algorithms have been proposed with the worst case time complexity is equal to O (n log n).
K. R. Wijeweera, S. R. Kodituwakku
doaj   +1 more source

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