Publications related to Vertex arrangement

A Note on Lenses in Arrangements of Pairwise Intersecting Circles in the Plane

Let F be a family of n pairwise intersecting circles in the plane. We show that the number of lenses, that is convex digons, in the arrangement induced by F is at most 2n - 2. This bound is tight. Furthermore, if no two circles in F touch, then the geometr ...

Electronic Journal Of Combinatorics2024

Metasurface-Enhanced Infrared Spectroscopy: An Abundance of Materials and Functionalities

Hatice Altug, Felix Ulrich Richter, Andreas Tittl, Aurélian Michel John-Herpin

Infrared spectroscopy provides unique information on the composition and dynamics of biochemical systems by resolving the characteristic absorption fingerprints of their constituent molecules. Based on this inherent chemical specificity and the capability ...

WILEY-V C H VERLAG GMBH2022

Global and Local Uncertainty Principles for Signals on Graphs

Pierre Vandergheynst, Nathanaël Perraudin, Benjamin Ricaud, David Shuman

Uncertainty principles such as Heisenberg's provide limits on the time-frequency concentration of a signal, and constitute an important theoretical tool for designing and evaluating linear signal transforms. Generalizations of such principles to the graph ...

2018

Real-Time Distributed Algorithms for Nonconvex Optimal Power Flow

Colin Neil Jones, Yuejiang Liu, Georgios Stathopoulos, Jean-Hubert Hours

The optimal power flow (OPF) problem, a fundamental problem in power systems, is generally nonconvex and computationally challenging for networks with an increasing number of smart devices and real-time control requirements. In this paper, we first investi ...

2017

On Simplices in Diameter Graphs in R-4

Andrei Kupavskii

A graph G is a diameter graph in R-d if its vertex set is a finite subset in R-d of diameter 1 and edges join pairs of vertices a unit distance apart. It is shown that if a diameter graph G in R-4 contains the complete subgraph K on five vertices, then any ...

Maik Nauka/Interperiodica/Springer2017

Possibility of an unconventional spin state of Ir4+ in Ba21Ir9O43 single crystal

László Forró, Henrik Moodysson Rønnow, Arnaud Magrez, Oleg Yazyev, Ivica Zivkovic, Alla Arakcheeva, Bálint Náfrádi, Lin Yang, Andrea Pisoni, Sergiy Katrych, Jacim Jacimovic, Noore Elahi Shaik

We report the synthesis of single crystals of a novel layered iridate Ba21Ir9O43 and present the crystallographic, transport, and magnetic properties of this material. The compound has a hexagonal structure with two iridium oxide layers stacked along the c ...

Amer Physical Soc2016

Grain Boundaries in Graphene on SiC(000(1)over-bar) Substrate

Oleg Yazyev, Fernando Gargiulo

Grain boundaries in epitaxial graphene on the SiC(000 (1) over bar) substrate are studied using scanning tunneling microscopy and spectroscopy. All investigated small-angle grain boundaries show pronounced out-of-plane buckling induced by the strain fields ...

Amer Chemical Soc2014

Novel Grid-Based Power Routing Scheme for Regular Controllable-Polarity FET Arrangements

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Odysseas Zografos

Polarity-controllable transistors have emerged in the last few years as an adequate successor of current CMOS FinFETs. Due to the additional polarity terminal, novel physical design techniques are required. We present a novel grid-based power routing schem ...

IEEE2014

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Vertex arrangement

A Note on Lenses in Arrangements of Pairwise Intersecting Circles in the Plane

Metasurface-Enhanced Infrared Spectroscopy: An Abundance of Materials and Functionalities

Ordered Graphs And Large Bi-Cliques In Intersection Graphs Of Curves

Ordered graphs and large bi-cliques in intersection graphs of curves

Global and Local Uncertainty Principles for Signals on Graphs

Real-Time Distributed Algorithms for Nonconvex Optimal Power Flow

On Simplices in Diameter Graphs in R-4

Possibility of an unconventional spin state of Ir4+ in Ba21Ir9O43 single crystal

Grain Boundaries in Graphene on SiC(000(1)over-bar) Substrate

Novel Grid-Based Power Routing Scheme for Regular Controllable-Polarity FET Arrangements

Graph Chatbot

Chat with Graph Search

Metasurface-Enhanced Infrared Spectroscopy: An Abundance of Materials and Functionalities

A Note on Lenses in Arrangements of Pairwise Intersecting Circles in the Plane

Ordered Graphs And Large Bi-Cliques In Intersection Graphs Of Curves

Real-Time Distributed Algorithms for Nonconvex Optimal Power Flow

Possibility of an unconventional spin state of Ir4+ in Ba21Ir9O43 single crystal

Ordered graphs and large bi-cliques in intersection graphs of curves

Grain Boundaries in Graphene on SiC(000(1)over-bar) Substrate

Global and Local Uncertainty Principles for Signals on Graphs

On Simplices in Diameter Graphs in R-4

Novel Grid-Based Power Routing Scheme for Regular Controllable-Polarity FET Arrangements