Results 21 to 30 of about 372,249 (313)

Strip Planarity Testing for Embedded Planar Graphs [PDF]

open access: yesAlgorithmica, 2016
In this paper we introduce and study the strip planarity testing problem, which takes as an input a planar graph $G(V,E)$ and a function $ :V \rightarrow \{1,2,\dots,k\}$ and asks whether a planar drawing of $G$ exists such that each edge is monotone in the $y$-direction and, for any $u,v\in V$ with $ (u)
Patrizio Angelini   +3 more
openaire   +3 more sources

APPLICATION OF EQUIPMENT FOR AUTOMATIC CONTROL OF PLANAR STRUCTURES IN MANUFACTURING MASTER MASKS OF INTEGRATED CIRCUITS ON PHOTO-MASKS

open access: yesНаука и техника, 2007
Following the concept of defect-free manufacturing of master masks of IC on photo-masks, two Belarusian sets of optomechanical equipment for 0,3 5 p and 90 nanometers are presented in the paper. Each of the sets comprises:   • Multi-channel laser pattern
S. M. Avakov
doaj   +1 more source

Multilevel Planarity

open access: yesJournal of Graph Algorithms and Applications, 2018
In this paper, we introduce and study multilevel planarity, a generalization of upward planarity and level planarity. Let $G = (V, E)$ be a directed graph and let $\ell: V \to \mathcal P(\mathbb Z)$ be a function that assigns a finite set of integers to each vertex.
Barth, Lukas   +3 more
openaire   +5 more sources

Refolding planar polygons [PDF]

open access: yesProceedings of the twenty-second annual symposium on Computational geometry, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iben, Hayley N.   +2 more
openaire   +8 more sources

Obtaining raised density connections by thermosonic microwelding in 3D integrated microcircuits

open access: yesTekhnologiya i Konstruirovanie v Elektronnoi Apparature, 2014
The authors consider the processes of obtaining raised density microwelded connections in 3D-integrated microcircuits by the thermosonic microwelding.
V. L. Lanin, I. B. Petuhov
doaj   +1 more source

Ideal based hypergraph of a commutative ring

open access: yesAKCE International Journal of Graphs and Combinatorics, 2021
Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements
V. C. Amritha, K. Selvakumar
doaj   +1 more source

Planar diagrams

open access: yesCommunications in Mathematical Physics, 1978
The authors describe their method for counting planar Feynman diagrams of quantum field theory. Mathematicians who are not familiar with the current jargon of quantum field theory are likely to find this paper rather difficult to follow. In order to demonstrate the usefulness of their method, the authors calculate the ground state energy of a system of
Brézin, E.   +3 more
openaire   +3 more sources

On the Genus of the Idempotent Graph of a Finite Commutative Ring

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
Let R be a finite commutative ring with identity. The idempotent graph of R is the simple undirected graph I(R) with vertex set, the set of all nontrivial idempotents of R and two distinct vertices x and y are adjacent if and only if xy = 0.
Belsi G. Gold, Kavitha S., Selvakumar K.
doaj   +1 more source

Planar Four-Port Dual Circularly-Polarized MIMO Antenna for Sub-6 GHz Band

open access: yesIEEE Access, 2020
In this work, two configurations (Config.-A and Config.-B) of planar four-port dual circularly-polarized (CP) multiple-input-multiple-output (MIMO) antenna are proposed for sub-6 GHz (3.4-3.8 GHz) applications.
Shobhit Saxena   +5 more
doaj   +1 more source

Applying the Czédli-Schmidt Sequences to Congruence Properties of Planar Semimodular Lattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
Following Grätzer and Knapp, 2009, a planar semimodular lattice L is rectangular, if the left boundary chain has exactly one doubly-irreducible element, cl, and the right boundary chain has exactly one doubly-irreducible element, cr, and these elements ...
Grätzer G.
doaj   +1 more source

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