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Displaying 81 – 100 of 189

On sets of vectors of a finite vector space in which every subset of basis size is a basis

Simeon Ball (2012)

Journal of the European Mathematical Society

It is shown that the maximum size of a set $S$ of vectors of a $k$ -dimensional vector space over $𝔽_{q}$ , with the property that every subset of size $k$ is a basis, is at most $q + 1$ , if $k \leq p$ , and at most $q + k - p$ , if $q \geq k \geq p + 1 \geq 4$ , where $q = p^{k}$ and $p$ is prime. Moreover, for $k \leq p$ , the sets $S$ of maximum size are classified, generalising Beniamino Segre’s “arc is a conic” theorem. These results have various implications. One such implication is that a $k \times (p + 2)$ matrix, with $k \leq p$ and entries from $𝔽_{p}$ , has $k$ columns which are linearly dependent. Another is...

On Sidon sequences of even orders

Sheng Chen (1993)

Acta Arithmetica

On small distances of small 2-groups

Natalia Zhukavets (2001)

Commentationes Mathematicae Universitatis Carolinae

The paper reports the results of a search for pairs of groups of order $n$ that can be placed in the distance $n^{2} / 4$ for the case when $n \in {16, 32}$ . The constructions that are used are of the general character and some of their properties are discussed as well.

On some Generalizations of a Class of Discrete Functions

Kovachev, Dimiter (2008)

Serdica Journal of Computing

In this paper we examine discrete functions that depend on their variables in a particular way, namely the H-functions. The results obtained in this work make the “construction” of these functions possible. H-functions are generalized, as well as their matrix representation by Latin hypercubes.

On some hyperbolic planes from finite projective planes.

Celik, Basri (2001)

International Journal of Mathematics and Mathematical Sciences

On some symmetric designs with classical parameters.

Crnković, Dean (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

On special structure of graphs having the maximal eigenvalue greater than two.

D.M. Cvetkovic, I. Gutman (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

On Spectral Structure Of Graphs Having The Maximal Eigenvalue Not Grater Than Two

D. M. Cvetković, I. Gutman (1975)

Publications de l'Institut Mathématique

On Squashed Designs.

M. Deza, Frankl P. (1986)

Discrete & computational geometry

On ${STD}_{6} [18, 3]$ 's and ${STD}_{7} [21, 3]$ 's admitting a semiregular automorphism group of order 9.

Akiyama, Kenzi, Ogawa, Masayuki, Suetake, Chihiro (2009)

The Electronic Journal of Combinatorics [electronic only]

On strongly sum-free subsets of abelian groups

Tomasz Łuczak, Tomasz Schoen (1996)

Colloquium Mathematicae

In his book on unsolved problems in number theory [1] R. K. Guy asks whether for every natural l there exists $n_{0} = n_{0} (l)$ with the following property: for every $n \geq n_{0}$ and any n elements $a_{1}, . . ., a_{n}$ of a group such that the product of any two of them is different from the unit element of the group, there exist l of the $a_{i}$ such that $a_{i_{j}} a_{i_{k}} \neq a_{m}$ for $1 \leq j < k \leq l$ and $1 \leq m \leq n$ . In this note we answer this question in the affirmative in the first non-trivial case when l=3 and the group is abelian, proving the following result.

Currently displaying 81 – 100 of 189

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Displaying 81 – 100 of 189

On sets of vectors of a finite vector space in which every subset of basis size is a basis

On Sidon sequences of even orders

On small distances of small 2-groups

On some Generalizations of a Class of Discrete Functions

On some hyperbolic planes from finite projective planes.

On some symmetric designs with classical parameters.

On special structure of graphs having the maximal eigenvalue greater than two.

On Spectral Structure Of Graphs Having The Maximal Eigenvalue Not Grater Than Two

On Squashed Designs.

On ${STD}_{6} [18, 3]$ 's and ${STD}_{7} [21, 3]$ 's admitting a semiregular automorphism group of order 9.

On strongly sum-free subsets of abelian groups

On Subdesigns of Symmetric Designs.

On subdirectly irreducible Steiner loops of cardinality $2 n$ .

On Subdivisions of Simplicial Complexes: Characterizing Local h-Vectors.

On Subgraphs as Matroid Cells.

On sums over partially ordered sets.

On Supplementary Difference Sets.

On swell-colored complete graphs.

On the algebraic form of Keller's conjecture

On the area discrepancy of triangulations of squares and trapezoids.

Currently displaying 81 – 100 of 189