Results 81 to 90 of about 937,585 (316)
On small Mixed Pattern Ramsey numbers [PDF]
, 2014 We call the minimum order of any complete graph so that for any coloring of the edges by $k$ colors it is impossible to avoid a monochromatic or rainbow triangle, a Mixed Ramsey number.
Bartlett, Marcus +4 more
core
Some identities for enumerators of circulant graphs
, 2001 We establish analytically several new identities connecting enumerators of different types of circulant graphs of prime, twice prime and prime-squared orders.
Liskovets, Valery A.
core +1 more source
Coloring Mixed and Directional Interval Graphs
, 2023 A mixed graph has a set of vertices, a set of undirected egdes, and a set of directed arcs. A proper coloring of a mixed graph $G$ is a function $c$ that assigns to each vertex in $G$ a positive integer such that, for each edge $uv$ in $G$, $c(u) \ne c(v)$ and, for each arc $uv$ in $G$, $c(u) < c(v)$. For a mixed graph $G$, the chromatic number $χ(G)
Grzegorz Gutowski +5 more
openaire +4 more sources
Bivariate Chromatic Polynomials of Mixed Graphs
Discrete Mathematics & Theoretical Computer Science, 2023 The bivariate chromatic polynomial $\chi_G(x,y)$ of a graph $G = (V, E)$, introduced by Dohmen-P\"{o}nitz-Tittmann (2003), counts all $x$-colorings of $G$ such that adjacent vertices get different colors if they are $\le y$. We extend this notion to mixed graphs, which have both directed and undirected edges.
Beck, Matthias, Kolhatkar, Sampada
openaire +4 more sources
FEBS Letters, EarlyView.Single‐cell RNA sequencing reveals an opposite role of SLPI in basal tumors based on metastatic spread, along with shared activation of specific regulons in cancer cells and mature luminal lactocytes, as well as downregulation of MALAT1 and NEAT1 in the latter.
Pietro Ancona +4 more
wiley +1 more source
A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph
Journal of Chemistry, 2020 In this paper, we give a geometric interpretation of the Laplacian matrix of a connected nonsingular mixed graph which generalizes the results of M. Fiedler (M. Fiedler, Geometry of the Laplacian, Linear Algebra Appl., 2005, 403: 409–413).
Zheng-Da Zhou, Shi-Cai Gong
doaj +1 more source
Asymptotic dynamics of coined quantum walks on percolation graphs
, 2012 Quantum walks obey unitary dynamics: they form closed quantum systems. The system becomes open if the walk suffers from imperfections represented as missing links on the underlying basic graph structure, described by dynamical percolation.
Jex, Igor +3 more
core +1 more source
Plasmodium falciparum gametogenesis essential protein 1 (GEP1) is a transmission‐blocking target
FEBS Letters, EarlyView.This study shows Plasmodium falciparum GEP1 is vital for activating sexual stages of malarial parasites even independently of a mosquito factor. Knockout parasites completely fail gamete formation even when a phosphodiesterase inhibitor is added. Two single‐nucleotide polymorphisms (V241L and S263P) are found in 12%–20% of field samples.
Frederik Huppertz +5 more
wiley +1 more source
Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
wiley +1 more source
Completion of the mixed unit interval graphs hierarchy
, 2017 We describe the missing class of the hierarchy of mixed unit interval graphs, generated by the intersection graphs of closed, open and one type of half-open intervals of the real line.
Kratochvíl, Jan, Talon, Alexandre
core +2 more sources