Results 41 to 50 of about 13,294,177 (308)

Clinical validation of a targeted methylation-based multi-cancer early detection test using an independent validation set.

open access: yesAnnals of Oncology, 2021
BACKGROUND A multi-cancer early detection (MCED) test used to complement existing screening could increase the number of cancers detected through population screening, potentially improving clinical outcomes. The Circulating Cell-free Genome Atlas study (
E. Klein   +14 more
semanticscholar   +1 more source

On the number of maximum independent sets of graphs [PDF]

open access: yesTransactions on Combinatorics, 2014
Let $G$ be a simple graph. An independent set is a set of pairwise non-adjacent vertices. The number of vertices in a maximum independent set of $G$ is denoted by $alpha(G)$. In this paper, we characterize graphs $G$ with $n$ vertices and with maximum
Tajedin Derikvand, Mohammad Reza Oboudi
doaj  

An independent set degree condition for fractional critical deleted graphs

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2019
Let \begin{document}$i≥2$ \end{document} , \begin{document}$Δ≥0$ \end{document} , \begin{document}$1≤ a≤ b-Δ$ \end{document} , \begin{document}$n>\frac{(a+b)(ib+2m-2)}{a}+n'$ \end{document} and \begin{document}$δ(G)≥\frac{b^{2}}{a}+n'+2m$ \end{document} ,
Wei Gao   +3 more
semanticscholar   +1 more source

Edge Metric Dimension and Edge Basis of One-Heptagonal Carbon Nanocone Networks

open access: yesIEEE Access, 2022
A molecular (chemical) graph is a simple connected graph, where the vertices represent the compound’s atoms and the edges represent bonds between the atoms, and the degree (valence) of every vertex (atom) is not more than four.
Karnika Sharma   +2 more
doaj   +1 more source

Tight independent set neighborhood union condition for fractional critical deleted graphs and ID deleted graphs

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2019
The problem of data transmission in communication network can betransformed into the problem of fractional factor existing in graph theory. Inrecent years, the data transmission problem in the specificnetwork conditions has received a great deal of ...
Wei Gao, D. Dimitrov, H. Abdo
semanticscholar   +1 more source

Max-independent set and the quantum alternating operator ansatz

open access: yes, 2020
The maximum independent set (MIS) problem of graph theory using the quantum alternating operator ansatz is studied. We perform simulations on the Rigetti Forest simulator for the square ring, $K_{2,3}$, and $K_{3,3}$ graphs and analyze the dependence of ...
Zain Saleem
semanticscholar   +1 more source

Edge Estimation with Independent Set Oracles [PDF]

open access: yesInformation Technology Convergence and Services, 2017
We study the task of estimating the number of edges in a graph, where the access to the graph is provided via an independent set oracle. Independent set queries draw motivation from group testing and have applications to the complexity of decision versus
P. Beame   +4 more
semanticscholar   +1 more source

Independent Sets In Association Schemes [PDF]

open access: yesCombinatorica, 2006
15 pages; This is the corrected version that will appear in ...
Chris D. Godsil, Michael W. Newman
openaire   +2 more sources

Making a Dominating Set of a Graph Connected

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let G = (V,E) be a graph and S ⊆ V. We say that S is a dominating set of G, if each vertex in V \ S has a neighbor in S. Moreover, we say that S is a connected (respectively, 2-edge connected or 2-connected) dominating set of G if G[S] is connected ...
Li Hengzhe, Wu Baoyindureng, Yang Weihua
doaj   +1 more source

Minimum Neighborhood of Alternating Group Graphs

open access: yesIEEE Access, 2019
The minimum neighborhood and combinatorial property are two important indicators of fault tolerance of a multiprocessor system. Given a graph G, θG(q) is the minimum number of vertices adjacent to a set of q vertices of G (1 ≤ q ≤ |V(
Yanze Huang   +3 more
doaj   +1 more source

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