Results 101 to 110 of about 2,302 (247)

On the distinguishing chromatic number in hereditary graph classes

The distinguishing chromatic number of a graph $G$, denoted $χ_D(G)$, is the minimum number of colours in a proper vertex colouring of $G$ that is preserved by the identity automorphism only. Collins and Trenk proved that $χ_D(G)\le 2Δ(G)$ for any connected graph $G$, and the equality holds for complete balanced bipartite graphs $K_{p,p}$ and for $C_6$.
Brause, Christoph, Kalinowski, Rafał, Pilśniak, Monika, Schiemeyer, Ingo   +3 more
openaire   +2 more sources

Farming in the shadows of Rome: A multi‐proxy palaeoenvironmental record from Loch Clunie—Perthshire

Journal of Quaternary Science, EarlyView.
ABSTRACT Roman impacts on local society is a subject of international significance. Loch Clunie, Perthshire, lies only 5.4 km from Inchtuthil, the only Roman legionary fortress in Scotland, and contains two crannogs and a probable lakeside hillfort. Despite this proximity and the likelihood of local–Roman interaction, these sites remain unexcavated ...
Samantha E. Jones, Maarten Blaauw, Fraser Hunter, Olalla López‐Costas, Antonio Martínez Cortizas, Tim M. Mighall, Gordon Noble   +6 more
wiley   +1 more source

Jewelled Byzantine and Medieval Reliquaries of the True Cross: Peridots and Other Gemstones in Material and Symbolic Perspective

Journal of Raman Spectroscopy, EarlyView.
An interdisciplinary in situ study of jewelled reliquaries of the True Cross integrates gemmology and portable analytical techniques, revealing new evidence on the identification and symbolic role of peridots and other gemstones. ABSTRACT Jewelled crosses containing relics of the True Cross occupy a central position in the devotional, artistic and ...
Stefania Martiniello, Stefano Legnaioli, Simona Raneri   +2 more
wiley   +1 more source

Approximate and exact results for the harmonious chromatic number [PDF]

Graph coloring is a fundamental topic in graph theory that requires an assignment of labels (or colors) to vertices or edges subject to various constraints.
Ruxandra Marinescu-Ghemeci, Camelia Obreja, Marinescu-Ghemeci, Ruxandra, Popa, Alexandru, Alexandru Popa, Obreja, Camelia   +5 more
core   +1 more source

The Set Chromatic Numbers of the Middle and Total Graphs of a Graph [PDF]

, 2020
In the area of graph colorings, much research has been done on the topic of neighbor- distinguishing colorings and the effects of graph operations on the chromatic numbers as- sociated with these colorings.
Eugenio, Gerone Russel
core  

Fermentation characteristics of four southern sichuan citrus cultivars

JSFA reports, EarlyView.
Abstract Background Sichuan, China's leading citrus‐producing region has strong potential for citrus wine development. Citrus is rich in bioactive compounds that enhance flavor and health value, yet current citrus wines often show weak aroma and bitterness.
Zhiqing Zheng, Cong Li, Jun Zhao, Yi Ma, Jiaming Cui, Tian Zheng, Bin Guo, Tong Lin, Chun Yi, Xingyin Zhang   +9 more
wiley   +1 more source

Adjacent vertex-distinguishing proper edge-coloring of strong product of graphs [PDF]

, 2019
Let G be a finite, simple, undirected and connected graph. The adjacent vertex-distinguishing proper edge-coloring is the minimum number of colors required for a proper edge-coloring of G, in which no two adjacent vertices are incident to edges colored ...
Anantharaman, S.
core   +1 more source

Effects of genotype and environment on the physiochemical properties of Canadian oat varieties

Journal of the Science of Food and Agriculture, Volume 105, Issue 5, Page 3111-3121, 30 March 2025.
Abstract BACKGROUND The relationship between oat grain composition and physical attributes as influenced by oat genotype and Canadian growing environments was investigated. Thirty Canadian oat (Avena sativa L.) genotypes, grown in three Canadian growing locations (Brandon, Manitoba; Portage la Prairie, Manitoba; and Lacombe, Alberta) over 2 consecutive
Vanessa Alexander, Kirby T. Nilsen, Sijo Joseph, Trust Beta, Lovemore Nkhata Malunga   +4 more
wiley   +1 more source

The distinguishing chromatic number of bipartite graphs of girth at least six

, 2017
The distinguishing number $D(G)$ of a graph $G$ is the least integer $d$ such that $G$ has a vertex labeling with $d$ labels that is preserved only by a trivial automorphism. The distinguishing chromatic number $χ_{D}(G)$ of $G$ is defined similarly, where, in addition, $f$ is assumed to be a proper labeling. Motivated by a conjecture in \cite{colins},
Alikhani, Saeid, Soltani, Samaneh
openaire   +2 more sources

Adaptive Display White Point Under Various Ambient Conditions. Part 2: Dual Illumination

Journal of the Society for Information Display, EarlyView.
This study was designed to investigate how an adaptive display white point should be adjusted under different foreground‐background illumination conditions. It was found that the background illumination had a more significant effect. ABSTRACT Adaptive displays are designed to enhance the user viewing experience by dynamically responding to ambient ...
Jiamin Guo, Minchen Wei, Zhiwei Jiao, Licheng Ge   +3 more
wiley   +1 more source