Results 91 to 100 of about 837,200 (246)
A Note on the Maximum Genus of Graphs with Diameter 4 [PDF]
Let G be a simple graph with diameter four, if G does not contain complete subgraph K3 of order ...
WeiLi, He, Xiang, Ren, Lin, Zhao
core +1 more source
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
Laplacian Spectral Properties of Signed Circular Caterpillars
A circular caterpillar of girth $n$ is a graph such that the removal of all pendant vertices yields a cycle $C_n$ of order $n$. A signed graph is a pair $\Gamma=(G, \sigma)$, where $G$ is a simple graph and $\sigma: E(G) \rightarrow \{+1, -1\}$ is the ...
Maurizio Brunetti
doaj +1 more source
The Signed Triforce Graph [PDF]
Graphs have been thoroughly studied in the mathematical world, beginning from the Königsberg bridge problem studied in the 1700's by Euler. Eventually, the exploration of graphs expanded to include signed graphs which are used in other areas of study ...
Lilit Mkrtchian
core
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
We define the Sign Game as a two-player game played on a simple undirected mathematical graph G. The players alternate turns, assigning vertices of G either 1 or -1, and edges take on the value of the product of their endvertices. The game ends when all vertices are assigned values, and the score of the game is the sum of all edge values.
Blum, Liz +4 more
openaire +2 more sources
LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
wiley +1 more source
Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source
Edges and vertices in a unique signed circle in a signed graph
We examine the conditions under which a signed graph contains an edge or a vertex that is contained in a unique negative circle or a unique positive circle.
Richard Behr
doaj +1 more source
Gut microbiota alterations in patients with non‐small‐cell lung cancer undergoing chemoradiotherapy
We investigated the impact of concurrent chemoradiotherapy (CRT) on the gut microbiota in patients with locally advanced non‐small‐cell lung cancer. Overall gut microbiota composition remained largely stable throughout CRT while antibiotic exposure may influence microbial diversity.
Hanne Marte Nymoen +19 more
wiley +1 more source

