Results 111 to 120 of about 27,017 (285)
The maximum matching extendability and factor-criticality of 1-planar graphs [PDF]
Jiangyue Zhang, Yan Wu, Heping Zhang
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Large matchings in maximal 1-planar graphs
It is well-known that every maximal planar graph has a matching of size at least $\tfrac{n+8}{3}$ if $n\geq 14$. In this paper, we investigate similar matching-bounds for maximal \emph{1-planar} graphs, i.e., graphs that can be drawn such that every edge has at most one crossing.
Therese Biedl, John Wittnebel
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On the Book Thickness of 1-Planar Graphs
In a book embedding of a graph G, the vertices of G are placed in order along a straight-line called spine of the book, and the edges of G are drawn on a set of half-planes, called the pages of the book, such that two edges drawn on a page do not cross each other. The minimum number of pages in which a graph can be embedded is called the book-thickness
Alam, Md. Jawaherul +2 more
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Charge carrier concentration and mobility in TiO2, ZrO2, and HfO2 powder films are experimentally mapped as a function of temperature. The results uncover polaron‐mediated transport regimes and field‐activated conduction, enabling the design of oxide‐based electronic and energy devices with thermally tunable functionality.
Beatriz Moura Gomes +3 more
wiley +1 more source
A reproducible synthesis to control 3D/0D phase ratios via water‐tuned solvent–antisolvent methods is presented. Enhanced scintillation yield and ultrafast decay are achieved. Defect‐driven emission mechanisms are revealed through cathodoluminescence and radioluminescence, shedding light on the underexplored role of the 0D Cs4PbBr6 and mixed 0D/3D ...
Mario Calora +18 more
wiley +1 more source
Graphs cospectral with a friendship graph or its complement [PDF]
Let $n$ be any positive integer and let $F_n$ be the friendship (or Dutch windmill) graph with $2n+1$ vertices and $3n$ edges. Here we study graphs with the same adjacency spectrum as the $F_n$.
Alireza Abdollahi +2 more
doaj
Class two 1-planar graphs with maximum degree six or seven [PDF]
Xin Zhang
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Electromagnetic interference (EMI) shields consisting of polylactic acid (PLA) in layers with different concentrations of multiwalled carbon nanotubes (MWCNT) are produced using additive manufacturing. The permittivity function of layers with different filler concentrations is learned using data of homogeneous and randomly ordered shields.
Stijn De Smedt +5 more
wiley +1 more source
On the k-Structure Ratio in Planar and Outerplanar Graphs
A planar k-restricted structure is a simple graph whose blocks are planar and each has at most k vertices. Planar k-restricted structures are used by approximation algorithms for Maximum Weight Planar Subgraph, which motivates this work. The planar k-
Gruia Calinescu, Cristina G. Fernandes
doaj
Adding One Edge to Planar Graphs Makes Crossing Number and 1-Planarity Hard [PDF]
Sergio Cabello, Bojan Mohar
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