We study lines through the origin of finite-dimensional complex vector spaces that enjoy a doubly transitive automorphism group. In doing so, we make fundamental connections with both discrete geometry and algebraic combinatorics. particular, show are necessarily optimal packings in projective space, introduce fruitful generalization regular abelian distance-regular antipodal covers complete gr...

We consider C -compact orthogonally additive operators in vector lattices. After providing some examples of on a lattice with values Banach space we show that the set those is projection band Dedekind complete all regular operators. In second part article introduce new class lattices, called -complete, and any laterally-to-norm continuous operator from -complete to narrow, which generalizes res...

For an integer t and a fixed graph H, we consider the problem of finding a maximum tmatching not containing H as a subgraph, which we call the H-free t-matching problem. This problem is a generalization of the problem of finding a maximum 2-matching with no short cycles, which has been well-studied as a natural relaxation of the Hamiltonian circuit problem. When H is a complete graph Kt+1 or a ...

A Neumaier graph is a non-complete edge-regular containing regular clique. that not strongly called strictly graph. In this work we present new construction of graphs, and using Jacobi sums, show our produces infinitely many instances. Moreover, prove some necessary conditions for the existence (strictly) graphs allow us to several parameter sets are admissible.

In this paper we survey results about affinely regular polygons. First, the definitions and classification of affinely regular polygons are given. Then the theory of Bachmann–Schmidt is outlined. There are several classical theorems about regular polygons, some of them having analogues in finite planes, such as the Napoleon–Barlotti theorem. Such analogues, variants of classical theorems are al...

The number of flags in a complete fan, or more generally in an Eulerian poset, is encoded in the cd-index. We prove the non-negativity of the cd-index for complete fans, regular CW -spheres and Gorenstein* posets.

For every regular cardinal κ there exists a simple complete Boolean algebra with κ generators.

Objective: to present the radiographic clinical follow-up of prosthetic rehabilitation a patient with an atrophic mandible, installation short implants associated implant regular length. Method: case report completely edentulous mandible and 6-year conducted at dental clinic Federal University Piauí, Teresina, from February 2011 January 2020. After collecting sociodemographic data, health recor...

We give a complete classification of distance-regular graphs of valency 6 and a1 = 1.

For every regular cardinal κ there exists a simple complete Boolean algebra with κ generators.