Results 41 to 50 of about 17,262 (262)

Every Planar Graph with the Distance of 5-Cycles at Least 3 from Each Other Is DP-3-Colorable

open access: yesMathematics, 2020
DP-coloring was introduced by Dvořák and Postle [J. Comb. Theory Ser. B 2018, 129, 38–54]. In this paper, we prove that every planar graph in which the 5−-cycles are at distance of at least 3 from each other is DP-3-colorable, which improves the result ...
Yueying Zhao, Lianying Miao
doaj   +1 more source

On An Extremal Problem In The Class Of Bipartite 1-Planar Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2016
A graph G = (V, E) is called 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. In this paper, we study bipartite 1-planar graphs with prescribed numbers of vertices in partite sets.
Czap Július   +2 more
doaj   +1 more source

Degeneracies of Triangulated Graphs

open access: yesTheory and Applications of Graphs
A graph $G$ is $k$-degenerate if each subgraph has minimum degree at most $k$. The degeneracy\textbf{ }$D\left(G\right)$ is the smallest $k$ such that $G$ is $k$-degenerate.
Allan Bickle
doaj   +1 more source

Biequivalent Planar Graphs

open access: yesAxioms
We define biequivalent planar graphs, which are a generalisation of the uniform polyhedron graphs, as planar graphs made out of two families of equivalent nodes.
Bernard Piette
doaj   +1 more source

Computing Planarity in Computable Planar Graphs

open access: yesGraphs and Combinatorics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oscar Levin, Taylor McMillan
openaire   +2 more sources

Diffusion Spectrum Imaging Maps Early Axonal Loss and a Unique Progressive Signal in Neuronal Intranuclear Inclusion Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang   +10 more
wiley   +1 more source

The Planar Index and Outerplanar Index of Some Graphs Associated to Commutative Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we study the planar and outerplanar indices of some graphs associated to a commutative ring. We give a full characterization of these graphs with respect to their planar and outerplanar indices when R is a finite ring.
Barati Zahra, Afkhami Mojgan
doaj   +1 more source

On edge-intersection graphs of k-bend paths in grids [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2010
Edge-intersection graphs of paths in grids are graphs that can be represented such that vertices are paths in a grid and edges between vertices of the graph exist whenever two grid paths share a grid edge. This type of graphs is motivated by applications
Therese Biedl, Michal Stern
doaj   +1 more source

Mechanochemical Synthesis and Characterization of Nanostructured ErB4 and NdB4 Rare‐Earth Tetraborides

open access: yesAdvanced Engineering Materials, Volume 27, Issue 6, March 2025.
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur   +5 more
wiley   +1 more source

Non-planar one-loop Parke-Taylor factors in the CHY approach for quadratic propagators

open access: yesJournal of High Energy Physics, 2018
In this work we have studied the Kleiss-Kuijf relations for the recently introduced Parke-Taylor factors at one-loop in the CHY approach, that reproduce quadratic Feynman propagators.
Naser Ahmadiniaz   +2 more
doaj   +1 more source

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