Results 31 to 40 of about 965 (204)
The packing chromatic number of infinite product graphs
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Jirí Fiala 0001 +2 more
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The Packing Chromatic Number of Different Jump Sizes of Circulant Graphs [PDF]
The packing chromatic number χ_{p}(G) of a graph G = (V,E) is the smallest integer k such that the vertex set V(G) can be partitioned into disjoint classes V1 ,V2 ,...,Vk , where vertices in Vi have pairwise distance greater than i. In this paper, we compute the packing chromatic number of circulant graphs with different jump sizes._{}
B. CHALUVARAJU, M. KUMARA
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Subdivision into i-packings and S-packing chromatic number of some lattices
An $i$-packing in a graph $G$ is a set of vertices at pairwise distance greater than $i$. For a nondecreasing sequence of integers $S=(s\_{1},s\_{2},\ldots)$, the $S$-packing chromatic number of a graph $G$ is the least integer $k$ such that there exists a coloring of $G$ into $k$ colors where each set of vertices colored $i$, $i=1,\ldots, k$, is an $s\
Gastineau, Nicolas +2 more
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Packing chromatic number of transformation graphs
Graph coloring is an assignment of labels called colors to elements of a graph. The packing coloring was introduced by Goddard et al. [1] in 2008 which is a kind of coloring of a graph. This problem is NP-complete for general graphs. In this paper, we consider some transformation graphs and generalized their packing chromatic numbers.
Derya Durgun, Busra Ozen-Dortok
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The Packing Chromatic Number of the Infinite Square Grid is 15
AbstractA packing k-coloring is a natural variation on the standard notion of graph k-coloring, where vertices are assigned numbers from $$\{1, \ldots , k\}$$ { 1 , … , k }
Bernardo Subercaseaux +1 more
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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
The Packing Chromatic Number of the Infinite Square Grid is At Least 14
Code corresponding to the paper "The Packing Chromatic Number of the Infinite Square Grid is At Least 14", accepted at SAT'2022. A README file explains how to use it.
Subercaseaux, Bernardo +1 more
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Cyclic Olefin Copolymers as Versatile Materials for Advanced Engineering Applications
Cyclic olefin copolymers (COCs) are presented as highly versatile materials combining tunable synthesis, excellent optical properties, and mechanical robustness. Their potential spans microfluidics, bioengineering, and advanced electronics, while emerging self‐healing and sustainable solutions highlight future opportunities.
Giulia Fredi +3 more
wiley +1 more source
An integrated material platform combining engineered SiNx thin films and printable ZrO2 nanoparticle‐embedded resin enables broadband achromatic metalenses from the ultraviolet to visible range. The demonstrated meta‐optics achieve near‐diffraction‐limited focusing with minimal chromatic aberration.
Hyunjung Kang +3 more
wiley +1 more source
Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
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 +12 more
wiley +1 more source

