An n-tournament is an orientation of a complete n-partite graph. It was proved by J.A. Bondy in 1976 that every strongly connected n-partite tournament has an n-cycle. We characterize strongly connected n-partite tournaments in which a longest cycle is of length n and, thus, settle a problem in L. Volkmann, Discrete Math. 245 (2002) 19-53.

This paper begins the project of adapting the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible representations of real groups, to padic groups, continuing in the direction charted by Vogan in his 1993 paper on the Langlands correspondence. This paper presents three theorems in that direction. The first theorem shows how Lusztig’s work on perverse sheaves aris...

A quasi-symmetric design (QSD) is a (v, k, λ) design with two intersection numbers x, y, where 0 ≤ x < y < k. The block graph of a QSD is a strongly regular graph (SRG), whereas the converse is not true. Using Neumaier’s classification of SRGs related to the smallest eigenvalue, a complete parametric classification of QSDs whose block graph is an SRG with smallest eigenvalue −3, or second large...

Electrons in $\ensuremath{\alpha}\text{\ensuremath{-}}{T}_{3}$ lattices behave as condensed-matter analogies of integer-spin Dirac fermions. The three atoms making up the unit cell bestow energy spectrum with an additional band that is completely flat, providing unique electronic properties. interatomic hopping term, $\ensuremath{\alpha}$, known to strongly affect two-dimensional (2D) lattice, ...

Integrins represent a candidate group of cell surface receptors that may control the homing and population of the thymus by T-cell precursors and the subsequent migration of developing thymocytes through the thymic architecture. We have used multiparameter flow cytometric methods to characterize the expression of several members of the integrin family (alpha 3 beta 1, alpha 4 beta 1, alpha 5 be...

A potent neutralizing monoclonal antibody to the human alpha platelet-derived growth factor (PDGF) receptor (alpha PDGFR) was raised by immunizing BALB/c mice with 32D cells expressing the human alpha PDGFR. This monoclonal antibody, designated alpha R1, immunoprecipitated human, monkey, rabbit, pig, dog, and cat, but not hamster, rat, or mouse alpha PDGFRs. Comparison with PR292, a monoclonal ...

in this article we study two different generalizations of von neumann regularity, namely strong topological regularity and weak regularity, in the banach algebra context. we show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. then we consider strong topological regularity of certain concrete algebras. moreover we obtain ...

valdis laan in [5] introduced an extension of strong flatness which is called weak pullback flatness. in this paper we introduce a new property of acts over monoids, called u-wpf which is an extension of weak pullback flatness and give a classification of monoids by this property of their acts and also a classification of monoids when this property of acts implies others. we also show that regu...