We prove that for k ≫; 4√n regular resolution requires length nω(k) to establish that an ErdÅ's-Rényi graph with appropriately chosen edge density does not contain a k-clique. This lower bound is optimal up to the multiplicative constant in the exponent and also implies unconditional nω(k) lower bounds on running time for several state-of-the-art algorithms for finding maximum cliques in graphs.

There is an urgent need for treatments that not only reduce bacterial infection that occurs during wounding but that also target the accompanying excessive inflammatory response. TCP-25, a thrombin-derived antibacterial peptide, scavenges toll-like receptor agonists such as endotoxins and lipoteichoic acid and prevents toll-like receptor-4 dimerization to reduce infection-related inflammation in v

In 1966, Gallai asked whether every connected graph has a vertex that is common to all longest paths. The answer to this question is negative. We prove that the answer is positive for outerplanar graphs and 2-trees. Another related question was raised by Zamfirescu in the 1980s: Do any three longest paths in a connected graph have a vertex in common? The answer to this question is unknown. We prov

Low-molecular-weight (MW) polyols are organic osmolytes influencing water activity. We have investigated the effects of polyol molecules (glycerol and sorbitol) on the optical and triplet excitation dynamics of light-harvesting complex 2 (LH2) from Rhodobacter (Rba.) sphaeroides in buffer-detergent solutions. The resonance Raman spectroscopy demonstrated that, on increasing glycerol and sorbitol v

Light pollution, light in the wrong place at the wrong time, is an emerging environmental issue with wide-ranging consequences. It interferes with the fundamental 24 h light–dark cycle, and has biological effects at all levels, from molecules to ecosystems, including human health and welfare. Here, exemplified by flood-lit churches, artificial lights compromise the survival of resident bats, as da

It is not clear how different rewetting intensities (rapid, slow or partial rewetting) influence soil respiration and nitrogen (N) availability. Moist soil left unamended or amended with low C/N faba bean residue and incubated for 21 days was dried to rapid > partial rewetting. From day 4 onwards, moisture treatments differed little in respiration rate. In unamended soils, the rewetting intensity

Background: Standard biopsy for prostate cancer diagnosis is an unpleasant and sometimes painful procedure with a detection rate as low as around 50%. Consequently, an accurate blood-based test would be highly desirable to improve the predictive accuracy. However, the clinical value of a new blood test for diagnosing prostate cancer depends on its sensitivity and specificity, in relation to the se

Core-shell nanoparticles have gathered much attention of the scientific community owing to their potential applications in various fields including biomedical imaging and catalysis. Predicting core-shell preference1-3 is, however, still largely based on a few experimental observations and limited theorical studies, and hence development of new core-shell nanoparticles is normally built on a trial-

In this paper, we show that a software implementation of CCA secure Saber KEM protected by first-order masking and shuffling can be broken by deep learning-based power analysis. Using an ensemble of deep neural networks created at the profiling stage, we can recover the session key and the long-term secret key from 257xN and 24x257xN traces, respectively, where N is the number of repetitions of th

PurposeThe purpose of this study is to empirically identify and describe customer experience of unattended delivery services in e-grocery retail, and suggest propositions for further research and development of the research area.Design/methodology/approachThis exploratory research is based on a series of qualitative interviews to explore customer experience of unattended grocery delivery services.

Adding metal-oxide shell layers is a promising route for improving the performance of metal nanoparticles (NPs) in various applications. However, despite the rapidly growing interest and a significant amount of experimental work on metal@metal-oxide NPs, computational modeling is relatively scarce, particularly on the sintering mechanism, which plays a crucial role in both the synthesis and perfor

An interesting subset of nanoparticles is core-shell nanoparticles: encapsulating a core particle of one material with a shell of another material can be utilized to combine and even extend the properties of the respective material. Strategies to synthesize core-shell nanoparticles in the aerosol phase remain relatively unexplored, despite the benefit of the continuous, ambient pressure nature of

The retail landscape is transforming at an unprecedented speed and scale, thereby driving an unparalleled growth in last-mile delivery. The already rapidly growing online sales have been further fueled by the coronavirus pandemic. However, the share of online sales varies greatly among different retail sectors. In grocery retail, the share of online sales is still relatively low even though it is

Abstract: Breast cancers are heterogeneous tumours. Prognostic markers are needed to better profile the patient´s risk, and predictive markers to indicate the expected benefit of systemic treatment. Using gene expression analyses, breast tumours can be divided into intrinsic subtypes. Immunohistochemical (IHC) markers (oestrogen and progesterone receptors (ER and PR), human epidermal growth factor

What caused the recovery from the British Great Depression? A leading explanation - the “expectations channel” - suggests that a shift in expected inflation lowered real interest rates and stimulated consumption and investment. However, few studies have measured, or tested the economic consequences of, inflation expectations. In this paper, we collect high-frequency information from primary and se

How sticky were wages during the Great Depression? Although classic accounts emphasize the importance of nominal rigidity in amplifying deflationary shocks, the evidence is limited. In this paper, I calculate the degree of nominal wage rigidity in the United Kingdom between the wars using new granular data covering millions of wages.I find that nominal wages were more flexible downwards than in mo

Interaction of the T cell receptor (TCR) with an MHC-antigenic peptide complex results in changes at the molecular and cellular levels in T cells. The outside environmental cues are translated into various signal transduction pathways within the cell, which mediate the activation of various genes with the help of specific transcription factors. These signaling networks propagate with the help of v

In 1966, Gallai asked whether every connected graph has a vertex that is common to all its longest paths. The answer to this question is negative. We prove that the answer is positive for outerplanar graphs. Another related question was raised in 1995 at the British Combinatorial Conference: Do any three longest paths in a connected graph have a vertex in common? We prove that, in a connected grap