Concept

Disjoint union (topology)

Related publications (10)

Experimental studies of the equilibrium and out-of-equilibrium electronic structure of non-symmorphic topological materials

Symmetry and topology are fundamental properties of nature. Mathematics provides us with a general framework to understand these concepts. On one side, symmetry describes the invariance properties of an object for specific transformations. On the other sid ...

EPFL2020

Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings

Masato Mimura

The objective of this series is to study metric geometric properties of disjoint unions of Cayley graphs of amenable groups by group properties of the Cayley accumulation points in the space of marked groups. In this Part II, we prove that a disjoint union ...

2019

Topological Structures on DMC spaces

Rajai Nasser

Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation. We s ...

2017

Evolution of dispersal in explicitly spatial metacommunities

Andrea Rinaldo

We apply an evolutionary game theoretic approach to the evolution of dispersal in explicitly spatial metacommunities, using a flexible parametric class of dispersal kernels, namely 2Dt kernels, and study the resulting evolutionary dynamics and outcomes. We ...

Elsevier2011

Ideal knots and other packing problems of tubes

Henryk Gerlach

This thesis concerns optimal packing problems of tubes, or thick curves, where thickness is defined as follows. Three points on a closed space curve define a circle. Taking the infimum over all radii of pairwise-distinct point triples defines the thickness ...

EPFL2010

Network-Coded Broadcast: from Canonical Networks to Random Topologies

Christina Fragouli, Jörg Widmer

We consider the problem of finding the minimum number of transmissions in an ad-hoc network for all-to-all broadcasting using network coding. This work generalizes previous results for canonical topologies such as the circle and the wrap around grid to the ...

2008

MFACE: A Multicast Backbone-Assisted Face Traversal Algorithm for Arbitrary Planar Ad Hoc and Sensor Network Topologies

François Ingelrest

Face is a well-known localized routing protocol for ad hoc and sensor networks which guarantees delivery of the message as long as a path exists between the source and the destination. This is achieved by employing a left/right hand rule to route the messa ...

2007

Global and local linear buckling behavior of a chiral cellular structure

Alessandro Spadoni

This paper investigates the flat-wise compression behavior of an innovative cellular structure configuration. The considered layout has a hexagonal chiral geometry featuring cylinders, or nodes, joined by ligaments, or ribs. The resulting assembly is chara ...

2005

Impact of Topology Changes in Video Segmentation Evaluation

Touradj Ebrahimi, Elisa Drelie Gelasca

This work addresses the problem of studying and characterizing topology changes between resulting and reference segmentation masks in video sequences. In particular, the goal of this paper is to examine the impact of individual and combined artifacts found ...

IEEE2004

Heuristic methods applied to the restoration of distribution networks

This paper presents an application of heuristic methods to the restoration of distribution networks after disturbances. The heuristic approach is proposed since the problem needs more reasoning than pure calculation. Due to the combinatorial aspect of the ...

1994

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