Results 41 to 50 of about 11,451 (248)

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths

International Journal of Mathematics and Mathematical Sciences, 2011
The notion of equitable coloring was introduced by Meyer in 1973. In this paper we obtain interesting results regarding the equitable chromatic number 𝜒= for the total graph of complete bigraphs 𝑇(𝐾𝑚,𝑛), the central graph of cycles 𝐶(𝐶𝑛) and the central ...
J. Vernold Vivin, K. Kaliraj, M. M. Akbar Ali   +2 more
doaj   +1 more source

Equitable Coloring ofk-Uniform Hypergraphs [PDF]

SIAM Journal on Discrete Mathematics, 2003
Let $H$ be a $k$-uniform hypergraph with $n$ vertices. A {\em strong $r$-coloring} is a partition of the vertices into $r$ parts, such that each edge of $H$ intersects each part. A strong $r$-coloring is called {\em equitable} if the size of each part is $\lceil n/r \rceil$ or $\lfloor n/r \rfloor$.
openaire   +3 more sources

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

On equitable and equitable list colorings of series–parallel graphs

Discrete Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xin, Wu, Jian-Liang
openaire   +2 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff, Manuela Moritz, Dennis Eggert, Anna Worthmann, Joerg Heeren, Henrike Zech, Till S. Clauditz, Waldemar Wilczak, Hartmut Schlüter, Christian S. Betz, Arne Böttcher, Jan Hahn   +11 more
wiley   +1 more source

Parameterized complexity of fair deletion problems

, 2017
Deletion problems are those where given a graph $G$ and a graph property $\pi$, the goal is to find a subset of edges such that after its removal the graph $G$ will satisfy the property $\pi$. Typically, we want to minimize the number of elements removed.
Masařík, Tomáš, Toufar, Tomáš
core   +1 more source

Equitable colorings of $K_4$-minor-free graphs

Journal of Graph Algorithms and Applications, 2017
We demonstrate that for every positive integer $\Delta$, every $K_4$-minor-free graph with maximum degree $\Delta$ admits an equitable coloring with $k$ colors where $k\ge\frac{\Delta+3}{2}$. This bound is tight and confirms a conjecture by Zhang and Wu. We do not use the discharging method but rather exploit decomposition trees
de Joannis de Verclos, Rémi, Sereni, Jean-Sébastien   +1 more
openaire   +2 more sources

Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer

Molecular Oncology, EarlyView.
PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta, Yang Song, Madeleine Ndahayo, Anirudh Saxena, Theresa Guo, Dylan Z. Kelley, Jessica Gore, Andrew Hennigan, Alexa Anderson, John C. Papadimitriou, Daria A. Gaykalova   +10 more
wiley   +1 more source

Rainbow Matchings: existence and counting

, 2011
A perfect matching M in an edge-colored complete bipartite graph K_{n,n} is rainbow if no pair of edges in M have the same color. We obtain asymptotic enumeration results for the number of rainbow matchings in terms of the maximum number of occurrences ...
Perarnau, Guillem, Serra, Oriol
core   +1 more source