Results 101 to 110 of about 117,877 (279)
Applied Mathematics Letters, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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European Journal of Combinatorics, 1997 A new game chromatic number \(\chi^*_g(G)\) of a graph \(G\) is introduced. The authors first show that (i) if \(G\) is a connected bipartite graph with bipartition \((V_1,V_2)\), then \(\chi^*_g(G)= 2\) if and only if \(G\) has a vertex \(v\in V_1\) (say) such that \(N(v)= V_2\); and (ii) \(\chi^*_g(G)= \chi(G)\) (the chromatic number of \(G\)) if \(G\
Chen, G., Schelp, R.H., Shreve, W.E.
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Advanced Science, EarlyView.This work introduces an open‐source all‐optical platform for functional phenotyping of human stem cell‐derived neurons. The system integrates optogenetics, calcium imaging, automated acquisition, and analysis to resolve single‐cell and network activity, enabling longitudinal measurements, disease modeling, and pharmacological screening in preclinical ...
Wardiya Afshar‐Saber +12 more
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The incidence chromatic number of some graph
International Journal of Mathematics and Mathematical Sciences, 2005 The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey (1993). They conjectured that every graph G can be incidence colored with Δ(G)+2 colors.
Liu Xikui, Li Yan
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Graphs obtained from collections of blocks
Electronic Journal of Graph Theory and Applications, 2015 Given a collection of $d$-dimensional rectangular solids called blocks, no two of which sharing interior points, construct a block graph by adding a vertex for each block and an edge if the faces of the two corresponding blocks intersect nontrivially ...
Colton Magnant +2 more
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Advanced Science, EarlyView.This study investigates the genetic and microbial factors influencing the susceptibility of Diaphorina citri to the citrus greening pathogen Candidatus Liberibacter asiaticus (CLas), employing a microbiome Genome Wide Association Study. The research identifies a key gene encoding an MFS‐type transporter contributing to CLas infectivity and abundance in
Kai Liu +12 more
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Journal of Combinatorial Theory, Series B, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Science, EarlyView.Long‐Tea‐CLIP (Contrastive Language‐Image Pre‐training) presents a multimodal AI framework that integrates visual, metabolomic, and sensory knowledge to grade green tea across appearance, soup color, aroma, taste, and infused leaf. By combining expert‐guided modeling with CLIP‐supervised learning, the system delivers fine‐grained quality evaluation and
Yanqun Xu +9 more
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Borel chromatic number of closed graphs
, 2014 We construct, for each countable ordinal $\xi$, a closed graph with Borel chromatic number two and Baire class $\xi$ chromatic number $\aleph\_0$.Comment: The proof of the main lemma has been changed, and the main result is now better than in the ...
Lecomte, Dominique, Zeleny, Miroslav
core
PISOT NUMBERS AND CHROMATIC ZEROS
, 2014 In this article we show that Pisot numbers of even degree and their powers cannot be roots of chromatic polynomials. We also consider the family of smallest Pisot numbers of odd degree. We show that they cannot be roots of chromatic polynomials of connected graphs with a certain maximum number of vertices.
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