Results 191 to 200 of about 4,554 (226)
Colourings of Uniform Group Divisible Designs and Maximum Packings
ABSTRACT A weak c $c$‐colouring of a design is an assignment of colours to its points from a set of c $c$ available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
wiley +1 more source
This study compared Premier Resolution HPLC with Capillary Electrophoresis for detecting HbCS/Hb Paksé variants and coexisting thalassemia mutations. Premier Resolution HPLC demonstrated superior performance with 50% fewer false negative cases (11 vs. 22) compared to Capillary Electrophoresis, particularly in heterozygous cases.
Surada Satthakarn +2 more
wiley +1 more source
Fractional List Packing for Layered Graphs
ABSTRACT The fractional list packing number χ ℓ • ( G ) ${\chi }_{\ell }^{\bullet }(G)$ of a graph G $G$ is a graph invariant that has recently arisen from the study of disjoint list‐colourings. It measures how large the lists of a list‐assignment L : V ( G ) → 2 N $L:V(G)\to {2}^{{\mathbb{N}}}$ need to be to ensure the existence of a “perfectly ...
Stijn Cambie, Wouter Cames van Batenburg
wiley +1 more source
A Coarse Geometric Approach to Graph Layout Problems
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
wiley +1 more source
On a Clique‐Building Game of Erdős
ABSTRACT The following game was introduced in a list of open problems from 1983 attributed to Erdős: two players take turns claiming edges of a Kn ${K}_{n}$ until all edges are exhausted. Player 1 wins the game if the largest clique that they claim at the end is strictly larger than the largest clique of their opponent; otherwise, Player 2 wins the ...
Alexandru Malekshahian, Sam Spiro
wiley +1 more source
Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
wiley +1 more source
Weak Degeneracy of Planar Graphs
ABSTRACT The weak degeneracy of a graph G $G$ is a numerical parameter that was recently introduced by the first two authors with the aim of understanding the power of greedy algorithms for graph coloring. Every d $d$‐degenerate graph is weakly d $d$‐degenerate, but the converse is not true in general (e.g., all connected d $d$‐regular graphs except ...
Anton Bernshteyn +2 more
wiley +1 more source
Compressive Strength of Glass Ionomers With Different Polymerization Mechanisms: A Comparative In Vitro Analysis. [PDF]
Merino AC +4 more
europepmc +1 more source
Semiparametric joint modeling to estimate the treatment effect on a longitudinal surrogate with application to chronic kidney disease trials. [PDF]
Wang X, Zhou J, Parast L, Greene T.
europepmc +1 more source
Stochastic poromechanical analysis forecasts a notable exceedance probability for the 2017 Pohang, South Korea, <i>M</i> <sub>w</sub> 5.5 earthquake. [PDF]
Wu H +6 more
europepmc +1 more source

