Results 111 to 120 of about 2,320,114 (270)
METRIC DIMENSION OF GRAPHS WITH SEQUENTIAL PENDANT EDGE EXTENSION
The metric dimension of a graph measures the smallest number of vertices (landmarks) needed so that every vertex in the graph can be uniquely identified by its distances to these landmarks.
Ajendra Kumar, B.S. Rawat, Kirti Chauhan
doaj +1 more source
Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso +5 more
wiley +1 more source
Local fractional metric dimension of rotationally symmetric planar graphs arisen from planar chorded cycles [PDF]
In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is established for those ones arisen from chorded cycles of order up to six ...
Falcón Ganfornina, Raúl Manuel +2 more
core
On the edge metric dimension for the random graph
Let $G(V, E)$ be a connected simple undirected graph. In this paper we prove that the edge metric dimension (introduced by Kelenc, Tratnik and Yero) of the Erdős-Rényi random graph $G(n, p)$ is given by: $$\textrm{edim}(G(n, p)) = (1 + o(1))\frac{4\log(n)}{\log(1/q)},$$ where $q = 1 - 2p(1-p)^2(2-p)$.
openaire +2 more sources
The kinase SRPK1 directly interacts with the protein TOPBP1 and regulates the pre‐mRNA splicing of WIZ thereby contributing to the activation of the ATR/CHK1 replicative checkpoint in response to replicative stress. This allows cancer cells' genomic stability and survival.
Amani Shreim +17 more
wiley +1 more source
Mutant p53R273H disrupts PDPK1 homodimerization and contributes to PDPK1 activation
How mutant p53R273H drives AKT signaling is unclear. We show that p53R273H, but not wild‐type, directly binds PDPK1 via a mutation‐dependent conformational change. This interaction disrupts inhibitory PDPK1 homodimerization and enhances AKT phosphorylation.
Mei Chee Lim +11 more
wiley +1 more source
LVRF (lymphatic and vascular resistance factor) is a VEGFA splice variant upregulated in response to anti‐angiogenic therapy that fosters tumor adaptation through enhanced vascularization, lymphangiogenesis, and metastatic dissemination. Targeting LVRF with fully human neutralizing antibodies disrupts these processes and limits resistant tumor growth ...
Marion David +12 more
wiley +1 more source
On the metric dimension of converging sequences [PDF]
summary:In the paper, some kind of independence between upper metric dimension and natural order of converging sequences is shown --- for any sequence converging to zero there is a greater sequence with an arbitrary ($\leqslant 1$) upper dimension.
Žáčik, Tibor, Mišík, Ladislav, Jr.
core
Spatial heterogeneity of hotspot mutations and clonal relatedness in ovarian endometrioid carcinoma
Spatially resolved analysis revealed heterogeneous distributions of selected cancer‐associated mutations within ovarian endometrioid carcinomas. Shared mutations between paired endometrial and ovarian tumors supported clonal relatedness. These findings highlight the value of sampling multiple tumor regions when interpreting molecular profiles ...
Takahito Ashihara +10 more
wiley +1 more source
Fault-Tolerant Metric Dimension and Applications: Zero-Divisor Graph of Upper Triangular Matrices
Graph invariants play a crucial role in understanding the structural and combinatorial characteristics of graphs. The fault-tolerant metric dimension, as a significant graph invariant, finds applications in diverse areas such as robust network ...
Latif Abdelmalek Hanna +2 more
doaj +1 more source

