Worker Preferences Firm Preferences w1 : [f1] f2 f3 f4 f5 f6 f7 f8 f1 : [w1] w2 w3 w4 w5 w6 w7 w8 w2 : f1 [f2] f3 f4 f5 f6 f7 f8 f2 : w1 [w2] w3 w4 w5 w6 w7 w8 w3 : f1 f2 [f3] f4 f5 f6 f7 f8 f3 : w1 w2 [w3] w4 w5 w6 w7 w8 w4 : f1 f2 f3 [f4] f5 f6 f7 f8 f4 : w1 w2 w3 [w4] w5 w6 w7 w8 w5 : f1 f2 f3 f4 [f5] f6 f7 f8 f5 : w1 w2 w3 w4 [w5] w6 w7 w8 w6 : f1 f2 f3 f4 f5 [f6] f7 f8 f6 : w1 w2 w3 w4 w5 ...

UNLABELLED Influenza A viruses (IAVs) express the PB1-F2 protein from an alternate reading frame within the PB1 gene segment. The roles of PB1-F2 are not well understood but appear to involve modulation of host cell responses. As shown in previous studies, we find that PB1-F2 proteins of mammalian IAVs frequently have premature stop codons that are expected to cause truncations of the protein, ...

Superinfection by phage T4 of cells infected by the ribonucleic acid (RNA) phage f2 results in inhibition of further f2 production. Experiments using rifampin show that the exclusion of f2 requires T4 gene function soon after T4 infection. By using a sensitive new peptide-mapping procedure to identify f2 coat protein in infected cells, we show that synthesis of the f2 coat occurs at a reduced l...

PB1-F2 is a 90 amino acid protein that is expressed from the +1 open reading frame in the PB1 gene of some influenza A viruses and has been shown to contribute to viral pathogenicity. Notably, a serine at position 66 (66S) in PB1-F2 is known to increase virulence compared to an isogenic virus with an asparagine (66N) at this position. Recently, we found that an influenza virus expressing PB1-F2...

The PB1-F2 protein of influenza A virus has been considered a virulence factor, but its function in inducing apoptosis may be of disadvantage to viral replication. Host mechanisms to regulate PB1-F2-induced apoptosis remain unknown. We generated a PB1-F2-deficient avian influenza virus (AIV) H9N2 and found that the mutant virus replicated less efficiently in human lung epithelial cells. The PB1...

We define a self-map Pal : F2 → F2 of the free group on two generators a, b, using automorphisms of F2 that form a group isomorphic to the braid group B3. The map Pal restricts to de Luca’s right iterated palindromic closure on the submonoid generated by a, b. We show that Pal is continuous for the profinite topology on F2; it is the unique continuous extension of de Luca’s right iterated palin...

We present a new variant of the block Lanczos algorithm for finding vectors in the kernel of a symmetric matrix over F2. Our algorithm is at least as efficient as that of Peter Montgomery [6], while the sequence of matrices Wi constructed here have different algebraic properties that may be useful in eventually providing a provable upper bound on the time required to solve this problem. Namely,...