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In this note,we prove that the cop number of any n-vertex graph G, denoted by c(G), is at most O ( n lgn ) . Meyniel conjectured c(G) = O(√n). It appears that the best previously known sublinear upper-bound is due to Frankl, who proved c(G) ≤ (1+ o(1)) lgn . © 2008 Wiley Periodicals, Inc. J Graph Theory 58: 45–48, 2008

Transmissible spongiform encephalopathies in mammals are believed to be caused by scrapie form of prion protein (PrP(Sc)), an abnormal, oligomeric isoform of the monomeric cellular prion protein (PrP(C)). One of the proposed functions of PrP(C) in vivo is a Cu(II) binding activity. Previous studies revealed that Cu(2+) binds to the unstructured N-terminal PrP(C) segment (residues 23-120) throug...

All DNA repeats known to undergo expansion leading to human neurodegenerative disease can form one, or several, alternative conformations, including hairpin, slipped strand, triplex, quadruplex, or unwound DNA structures. These alternative structures may interfere with the normal cellular processes of transcription, DNA repair, replication initiation, or polymerase elongation and thereby contri...

Background The “2022 classification criteria“ for Takayasu arteritis (TAK) have been developed the purpose of classifying patients with TAK. These criteria provide a score from 0 to 22; ≥5 allows classify patient. Objectives To investigate whether criteria” correlates long-term outcomes Methods Data TAK followed up ≥1 year and evaluated at least once within last our Vasculitis Clinic were revie...

BACKGROUND Despite limited evidence, closed suction drainage is often used to reduce the risk of seroma formation after breast cancer surgery. The aim of this study was to evaluate the effect of drains and fibrin sealant on the incidence of seroma formation. METHODS A total of 116 patients undergoing surgery for breast cancer were randomized to receive suction drainage (group 1; n = 58), or t...

D-optimal designs of order n = 2v ≡ 2 (mod 4), where q is a prime power and v = q2 + q + 1 are constructed using two methods, one with supplementary difference sets and the other using projective planes more directly. An infinite family of Hadamard matrices of order n = 4v with maximum excess (n) = n√n 3 where q is a prime power and v = q2 + q + 1 is a prime, is also constructed. Disciplines Ph...