Results 31 to 40 of about 22,016 (260)

A Tight Bound on the Set Chromatic Number

Discussiones Mathematicae Graph Theory, 2013
We provide a tight bound on the set chromatic number of a graph in terms of its chromatic number. Namely, for all graphs G, we show that χs(G) > ⌈log2 χ(G)⌉ + 1, where χs(G) and χ(G) are the set chromatic number and the chromatic number of G ...
Sereni Jean-Sébastien, Yilma Zelealem B.   +1 more
doaj   +1 more source

Trees with Certain Locating-chromatic Number

Journal of Mathematical and Fundamental Sciences, 2016
The locating-chromatic number of a graph G can be defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and every two adjacent vertices in G are ...
Dian Kastika Syofyan, Edy Tri Baskoro, Hilda Assiyatun   +2 more
doaj   +1 more source

List-Chromatic Number and Chromatically Unique of the Graph Kr2+Ok

Selecciones Matemáticas, 2019
In this paper, we determine list-chromatic number and characterize chromatically unique of the graph G = Kr2+k.
Le Xuan Hung
doaj   +1 more source

Monotone Chromatic Number of Graphs

International Journal of Analysis and Applications, 2020
For a graph G = (V, E), a vertex coloring (or, simply, a coloring) of G is a function C: V (G) → {1, 2, ..., k} (using the non-negative integers {1, 2, ..., k} as colors).
Anwar Saleh, Najat Muthana, Wafa Al-Shammakh, Hanaa Alashwali   +3 more
doaj  

The Locating Chromatic Number of Book Graph

Journal 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, Wisnu Aribowo, Maiyudi Mariska Windra Yahya   +2 more
doaj   +1 more source

Structurally Colored Physically Unclonable Functions with Ultra‐Rich and Stable Encoding Capacity

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
This study reports a design strategy for generating bright‐field resolvable physically unclonable functions with extremely rich encoding capacity coupled with outstanding thermal and chemical stability. The optical response emerges from thickness‐dependent structural color formation in ZnO features, which are fabricated by physical vapor deposition ...
Abidin Esidir, Miaoning Ren, Sami Pekdemir, Mustafa Kalay, Nilgun Kayaci, Nail Gunaltay, Hakan Usta, Xian Huang, Mustafa Serdar Onses   +8 more
wiley   +1 more source

High‐Performance Low‐Emissivity Paints Enabled by N‐Doped Poly(benzodifurandione) (n‐PBDF) for Energy‐Efficient Buildings

Advanced Functional Materials, EarlyView.
This study introduces a scalable and colored low‐emissivity (low‐e) paint achieved by spraying an ultrathin n‐doped poly(benzodifurandione) (n‐PBDF) coating onto various colored substrates. The low‐e paint enhances thermal regulation by reducing mid‐infrared thermal emissivity to 0.19, thereby stabilizing indoor temperatures across diverse climates ...
Xiaojie Liu, Won‐June Lee, Daniel William Carne, Yanpei Tian, Andrea Felicelli, Yue Lei, Joseph A. Romo, Liyan You, Zixin Xiong, Orlando Gabriel Rivera Gonzalez, Abdulrahman Aljwirah, Qiaoqiang Gan, Jianguo Mei, Xiulin Ruan   +13 more
wiley   +1 more source

The Locating-Chromatic Number of Origami Graphs

Algorithms, 2021
The locating-chromatic number of a graph combines two graph concepts, namely coloring vertices and partition dimension of a graph. The locating-chromatic number is the smallest k such that G has a locating k-coloring, denoted by χL(G).
Agus Irawan, Asmiati Asmiati, La Zakaria, Kurnia Muludi   +3 more
doaj   +1 more source

Biodegradable and Recyclable Luminescent Mixed‐Matrix‐Membranes, Hydrogels, and Cryogels based on Nanoscale Metal‐Organic Frameworks and Biopolymers

Advanced Functional Materials, EarlyView.
The study presents biodegradable and recyclable mixed‐matrix membranes (MMMs), hydrogels, and cryogels using luminescent nanoscale metal‐organic frameworks (nMOFs) and biopolymers. These bio‐nMOF‐MMMs combine europium‐based nMOFs as probes for the status of the materials with the biopolymers agar and gelatine and present alternatives to conventional ...
Moritz Maxeiner, Julian Burkhart, Kateryna Borysova, Chiara Mazzariol, Klaus Müller‐Buschbaum   +4 more
wiley   +1 more source

Ultraviolet–Visible Spin‐Resolved Chip‐Scale Spectroscopy

Advanced Functional Materials, EarlyView.
By harnessing phase, wavelength, and spin multiplexing, the proposed meta‐spectrometer enables spin‐resolved spectral analysis within a compact footprint. The presented dual‐band (320–450 nm) spin‐resolved meta‐spectrometer features enhance optical functionality, allowing for the simultaneous discrimination of spectral content and spin states of light ...
Nasir Mahmood, Yujin Park, Naureen Butt, Joohoon Kim, Dongliang Gao, Muhammad Zubair, Tauseef Tauqeer, Lei Gao, Muhammad Qasim Mehmood, Junsuk Rho   +9 more
wiley   +1 more source