Results 61 to 70 of about 117,877 (279)

Conflict-free coloring of graphs [PDF]

, 2013
We study the conflict-free chromatic number chi_{CF} of graphs from extremal and probabilistic point of view. We resolve a question of Pach and Tardos about the maximum conflict-free chromatic number an n-vertex graph can have.
Glebov, Roman, Szabó, Tibor, Tardos, Gábor   +2 more
core  

Establishing a Model Precursor System: Over a Decade of Research on Carbon Dots from the Citric Acid‐Urea System

Advanced Functional Materials, EarlyView.
The citric acid/urea (CA‐Urea) precursor system offers a versatile, scalable route to carbon dots with tunable luminescence and multifunctionality. Mechanistic insights into precursor chemistry and reaction parameters have enabled doping, surface modification, and hybridization strategies, yielding CDs for luminescent devices, sensing, catalysis ...
Yupeng Liu, Zhiqi Cai, Xiangxin Sun, Hanyi Zhang, Yiming Hao, Jun Wu, Zekun Yan, Xue Wu, Yiqi Liang, Liming Wang, Songnan Qu   +10 more
wiley   +1 more source

The game chromatic number of random graphs

, 2007
Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player wins iff at the end of the game all the vertices of G are colored.
Bohman, Tom, Frieze, Alan, Sudakov, Benny   +2 more
core   +3 more sources

Metachromatic Butterfly Bile Pigments for Multi‐Level Optical Security Films

Advanced Functional Materials, EarlyView.
Bio‐derived optical security materials are manufactured by embedding butterfly‐based pigments in polymer films. Tunable color and fluorescence responses arise from concentration‐controlled metachromasy, enabling spatially encoded patterns with distinct visible, UV‐active, and spectral signatures.
Limin Wang, Bodo D. Wilts
wiley   +1 more source

Oriented Incidence Colourings of Digraphs

Discussiones Mathematicae Graph Theory, 2019
Brualdi and Quinn Massey [6] defined incidence colouring while study- ing the strong edge chromatic index of bipartite graphs. Here we introduce a similar concept for digraphs and define the oriented incidence chromatic number.
Duffy Christopher, MacGillivray Gary, Ochem Pascal, Raspaud André   +3 more
doaj   +1 more source

Thermo‐Fluorescent Bactericidal Quantum Dots Based Smart Multifunctional Textiles via Molecular Surface Engineering and 3D‐Printed Interlocked Architectures

Advanced Healthcare Materials, EarlyView.
A versatile approach is presented for fabricating smart multifunctional textiles by integrating thermo‐fluorescent carbon dot/polymer nanocomposite coatings with 3D‐printed interlocked architectures. The fabrics exhibit temperature‐responsive fluorescence, durable hydrophobicity, strong antibacterial and antioxidant activity, and enhanced UV protection.
Poushali Das, Sayan Ganguly, Parham Khoshbakht Marvi, Misha Muthalali, Fatemeh Parniani, Shiza Hassan, Xiaowu (Shirley) Tang, Seshasai Srinivasan, Amin Reza Rajabzadeh   +8 more
wiley   +1 more source

Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application

Advanced Materials, EarlyView.
This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong, You Zhou, Qingxiu Li, Wenyu Zhao, Sunyingyue Geng, Hangfei Li, Yan‐Bing Leng, Shirui Zhu, Guanglong Ding, Yongbiao Zhai, Ziyu Lv, Ye Zhou, Su‐Ting Han   +12 more
wiley   +1 more source

Game chromatic number of lexicographic product graphs

AKCE International Journal of Graphs and Combinatorics, 2015
In this paper, we determine the exact values of the game chromatic number of lexicographic product of path P2 with path Pn, star K1,n and wheel Wn. Also we give an upper bound for the game chromatic number of lexicographic product of any two simple ...
R. Alagammai, V. Vijayalakshmi
doaj   +1 more source

Electrically Assisted Thermal Stamping of Tunable Carbon‐Based Nanofilms for Direct Fabrication of Hydrophobic, Energy Harvesting, and Sensing Devices

Advanced Materials, EarlyView.
Schematic illustration of the electrically assisted thermal stamping (EATS) method for direct fabrication of carbon‐based nanofilms and their multifunctional applications. Localized Joule heating triggers simultaneous exfoliation, reduction, and fluoropolymer incorporation under ambient conditions, yielding tunable carbon‐based thin‐film coatings ...
Byungseok Seo, Yong Choi, Gajendra S. Shekhawat, Minjoong Shin, Kunmo Koo, Xiaobing Hu, Jiheon Kim, Wonjoon Choi, Xinqi Chen, Vinayak P. Dravid   +9 more
wiley   +1 more source

Coloring Some Finite Sets in ℝn

Discussiones Mathematicae Graph Theory, 2013
This note relates to bounds on the chromatic number χ(ℝn) of the Euclidean space, which is the minimum number of colors needed to color all the points in ℝn so that any two points at the distance 1 receive different colors. In [6] a sequence of graphs Gn
Balogh József, Kostochka Alexandr, Raigorodskii Andrei   +2 more
doaj   +1 more source