Results 61 to 70 of about 9,612,020 (345)

The Locating Chromatic Number of Book Graph

open access: yesJournal of Mathematics, 2021
Let G=VG,EG be a connected graph and c:VG⟶1,2,…,k be a proper k-coloring of G. Let Π be a partition of vertices of G induced by the coloring c. We define the color code cΠv of a vertex v∈VG as an ordered k-tuple that contains the distance between each ...
Nur Inayah   +2 more
doaj   +1 more source

Near‐Infrared Emitting Lanthanide Catecholate Giant Single Crystals – Morphology Control and Photon Down‐Conversion

open access: yesAdvanced Functional Materials, EarlyView.
Controlled syntheses of lanthanide coordination polymers based on the dihydroxybenzoquinone (DHBQ) organic linker afforded large single crystals of Ln‐DHBQ CPs (Ln = Yb, Nd). A novel structural variant of Yb‐DHBQ is identified by means of single crystal diffraction analysis.
Marina I. Schönherr   +7 more
wiley   +1 more source

Locating Chromatic Number of Powers of Paths and Cycles

open access: yesSymmetry, 2019
Let c be a proper k-coloring of a graph G. Let π = { R 1 , R 2 , … , R k } be the partition of V ( G ) induced by c, where R i is the partition class receiving color i.
Manal Ghanem, H. Al-Ezeh, A. Dabbour
semanticscholar   +1 more source

More on the total dominator chromatic number of a graph [PDF]

open access: yesJournal of Information and Optimization Sciences, 2017
Let G be a simple graph. A total dominator coloring of G, is a proper coloring of the vertices of G in which each vertex of the graph is adjacent to every vertex of some color class.
Nima Ghanbari, S. Alikhani
semanticscholar   +1 more source

DENTA: A Dual Enzymatic Nanoagent for Self‐Activating Tooth Whitening and Biofilm Disruption

open access: yesAdvanced Functional Materials, EarlyView.
The nanoapatite with dual enzymes (DENTA) accumulates in dentinal tubules, reducing hypersensitivity caused by dental nerve exposure and facilitating continuous ROS generation through salivary glucose for effective, long‐term whitening. The dentin structures remain non‐destructive due to the low concentration of ROS, demonstrating excellent cell ...
Junseok Kim   +13 more
wiley   +1 more source

Induced Subgraphs of Graphs with Large Chromatic Number IX: Rainbow Paths [PDF]

open access: yesElectronic Journal of Combinatorics, 2017
We prove that for all nonnegative integers k,s there exists c with the following property. Let G be a graph with clique number at most k and chromatic number more than c.
A. Scott, P. Seymour
semanticscholar   +1 more source

Hamiltonian Chromatic Number of Trees [PDF]

open access: yes, 2020
This is a final version appeared in proceedings of RAGT 2019 ...
Bantva, Devsi, Vaidya, Samir
openaire   +2 more sources

Functional Materials for Environmental Energy Harvesting in Smart Agriculture via Triboelectric Nanogenerators

open access: yesAdvanced Functional Materials, EarlyView.
This review explores functional and responsive materials for triboelectric nanogenerators (TENGs) in sustainable smart agriculture. It examines how particulate contamination and dirt affect charge transfer and efficiency. Environmental challenges and strategies to enhance durability and responsiveness are outlined, including active functional layers ...
Rafael R. A. Silva   +9 more
wiley   +1 more source

Chromatic Numbers of Simplicial Manifolds [PDF]

open access: yesBeiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019
Higher chromatic numbers $χ_s$ of simplicial complexes naturally generalize the chromatic number $χ_1$ of a graph. In any fixed dimension $d$, the $s$-chromatic number $χ_s$ of $d$-complexes can become arbitrarily large for $s\leq\lceil d/2\rceil$ [6,18].
Frank H. Lutz, Jesper M. Møller
openaire   +5 more sources

Multicolor Optoelectronic Synapse Enabled by Photon‐Modulated Remote Doping in Solution‐Processed Van Der Waals Heterostructures

open access: yesAdvanced Functional Materials, EarlyView.
Multicolor optoelectronic synapses are realized by vertically integrating solution‐processed MoS2 thin‐film and SWCNT. The electronically disconnected but interactive MoS2 enables photon‐modulated remote doping, producing a bi‐directional photoresponse.
Jihyun Kim   +8 more
wiley   +1 more source

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