Results 51 to 60 of about 1,379,637 (289)
Extremal C4‐Free/C5‐Free Planar Graphs [PDF]
Journal of Graph Theory, 2015 We study the topic of “extremal” planar graphs, defining ex P(n,H) to be the maximum number of edges possible in a planar graph on n vertices that does not contain a given graph H as a subgraph. In particular, we examine the case when H is a small cycle,
Chris Dowden
semanticscholar +1 more source
Voronoi Diagrams on Planar Graphs, and Computing the Diameter in Deterministic Õ(n5/3) Time
ACM-SIAM Symposium on Discrete Algorithms, 2017 We present an explicit and efficient construction of additively weighted Voronoi diagrams on planar graphs. Let $G$ be a planar graph with $n$ vertices and $b$ sites that lie on a constant number of faces. We show how to preprocess $G$ in $\tilde O(nb^2)$
Paweł Gawrychowski +4 more
semanticscholar +1 more source
Planar graphs as distinguished graph of Morse flows on the 2-disk [PDF]
arXiv, 2023 To investigate the topological structure of Morse flows on the 2-disk we use the planar graphs as destinguished graph of the flow. We assume, that the flow is transversal to the boundary of the 2-disk. We give a list of all planar graph with at least 3 edges and describe all planar graphs with 4 edges.
arxiv
Molecular Oncology, EarlyView.Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran +16 more
wiley +1 more source
Molecular Oncology, EarlyView.Dual targeting of AKT and mTOR using MK2206 and RAD001 reduces tumor burden in an intracardiac colon cancer circulating tumor cell xenotransplantation model. Analysis of AKT isoform‐specific knockdowns in CTC‐MCC‐41 reveals differentially regulated proteins and phospho‐proteins by liquid chromatography coupled mass spectrometry. Circulating tumor cells
Daniel J. Smit +19 more
wiley +1 more source
Molecular Oncology, EarlyView.This article advocates integrating temporal dynamics into cancer research. Rather than relying on static snapshots, researchers should increasingly consider adopting dynamic methods—such as live imaging, temporal omics, and liquid biopsies—to track how tumors evolve over time.
Gautier Follain +3 more
wiley +1 more source
Planar graphs with $\Delta \geq 7$ and no triangle adjacent to a $C_4$ are minimally edge and total choosable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 For planar graphs, we consider the problems of list edge coloring and list total coloring. Edge coloring is the problem of coloring the edges while ensuring that two edges that are adjacent receive different colors.
Marthe Bonamy +2 more
doaj +1 more source
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Due to the tight curvature in their design, ring applicators are usually associated with large positioning errors. The standard practice to correct for these deviations based on global offsets may not be sufficient to comply with the recommended tolerance.
Leon G. Aldrovandi +3 more
wiley +1 more source
Construction and Analysis of Queuing and Reliability Models Using Random Graphs
Mathematics, 2021 In this paper, the use of the construction of random processes on graphs allows us to expand the models of the theory of queuing and reliability by constructing.
Gurami Tsitsiashvili
doaj +1 more source
Journal of Applied Clinical Medical Physics, EarlyView.Abstract The establishment of guidelines and curriculum standards for medical physics residency training is a critical component of setting expectations and competencies for the profession. Since the last publication of these standards, residency training has become integrated into the eligibility criteria for most medical physics certification bodies.
Jonathon A. Nye +16 more
wiley +1 more source