Results 81 to 90 of about 1,555,658 (364)
Resolvent of Large Random Graphs
, 2009 We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and derive a new formula for the Stieljes transform of the spectral measure of such ...
Aldous +31 more
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The Distinguishing Index of Infinite Graphs
Electronic Journal of Combinatorics, 2015 The distinguishing index $D^\prime(G)$ of a graph $G$ is the least cardinal $d$ such that $G$ has an edge colouring with $d$ colours that is only preserved by the trivial automorphism. This is similar to the notion of the distinguishing number $D(G)$ of
I. Broere, M. Pilsniak
semanticscholar +1 more source
Reconstruction of infinite graphs
Discrete Mathematics, 1991 The paper surveys results concerning reconstruction and edge- reconstructon of infinite graphs and draws attention to several interesting unsolved problems.
openaire +3 more sources
RAD50 missense variants differentially affect the DNA damage response and mitotic progression
FEBS Letters, EarlyView.RAD50 incorporates into the MRN complex and initiates the DNA damage response. Furthermore, RAD50 promotes mitotic progression. RAD50 missense variants capable of forming an MRN complex supported the DNA damage response and mitotic features to different extents in complementation experiments, indicating these functions are separable and might impact ...
Hanna Redeker +9 more
wiley +1 more source
Subshifts on Infinite Alphabets and Their Entropy
Entropy, 2020 We analyze symbolic dynamics to infinite alphabets by endowing the alphabet with the cofinite topology. The topological entropy is shown to be equal to the supremum of the growth rate of the complexity function with respect to finite subalphabets.
Sharwin Rezagholi
doaj +1 more source
Discrete Mathematics, 1978 AbstractWe strengthen a theorem of W.T. Trotter relating α-imperfect graphs to Suslin trees and derive several new results for infinite graphs with no chordless 4-cycles. We show that for such graphs G, (1) if G is χ-perfect then G is α-perfect, and (2) ΘG is at most the first cardinal beyond αG. We also indicate how Martin's axiom can be used to prove
openaire +3 more sources
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
, 2007 Recently, it has been shown that, when the dimension of a graph turns out to be infinite dimensional in a broad sense, the upper critical surface and the corresponding critical behavior of an arbitrary Ising spin glass model defined over such a graph ...
Baxter R J +13 more
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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
Pair L(2, 1)-Labelings of Infinite Graphs
Discussiones Mathematicae Graph Theory, 2019 An L(2, 1)-labeling of a graph G = (V,E) is an assignment of nonnegative integers to V such that two adjacent vertices must receive numbers (labels) at least two apart and further, if two vertices are in distance 2 then they receive distinct labels. This
Yeh Roger K.
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