P. Sissokho

activity

20052026

most citedAvoiding zero-sum subsequences of prescribed length over the integers

6 citations · 11 across the 10 of their papers we have counts for

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11 papers · 1 filter

math.CO2026

A note on Tight Irreducible Affine Spreads

Fusun Akman, Papa Sissokho

Let $F_{q}^{n}$ denote the vector space of dimension $n$ over $F_{q}$ and AG $(n, q)$ denote the corresponding affine space. An $affine vector space partition$ …

math.CO2021

Geometry of the minimal solutions of a linear Diophantine Equation

Papa Amar Sissokho

Let $a_{1}, \dots, a_{n}$ and $b_{1}, \dots, b_{m}$ be fixed positive integers, and let $S$ denote the set of all nonnegative integer solutions of the equation $x_1a_1+\ldots +x_n…

math.CO2016

The maximum size of a partial spread II: Upper bounds

Esmeralda Nastase, Papa Sissokho

Let $n$ and $t$ be positive integers with $t < n$ , and let $q$ be a prime power. A partial $(t - 1)$ -spread of $PG (n - 1, q)$ is a set of $(t - 1)$ -dimensional subspaces of ${\rm PG}(…

math.CO2016

The structure of the minimum size supertail of a subspace partition

E. Nastase, P. Sissokho

Let $V = V (n, q)$ denote the vector space of dimension $n$ over the finite field with $q$ elements. A subspace partition $P$ of $V$ is a collection of nontrivial subspaces…

math.CO2016

The maximum size of a partial spread in a finite projective space

Esmeralda Nastase, Papa Sissokho

Let $n$ and $t$ be positive integers with $t < n$ , and let $q$ be a prime power. A $\textit{partial $(t-1)$-spread}$ of $PG (n - 1, q)$ is a set of $(t - 1)$ -dimensional subspaces of…

math.CO2016★ 6 cited

Avoiding zero-sum subsequences of prescribed length over the integers

C. Augspurger, M. Minter, K. Shoukry +2

Let $t$ and $k$ be a positive integers, and let $I_{k} = {i \in Z : - k \leq i \leq k}$ . Let $s_{t}^{'} (I_{k})$ be the smallest positive integer $ℓ$ such that every zero-s…

math.CO2014

Level Matrices

George Seelinger, Papa Sissokho, Larry Spence +1

Let $n > 1$ and $k > 0$ be fixed integers. A matrix is said to be level if all its column sums are equal. A level matrix with $m$ rows is called reducible if we can delete $j$ rows, $0…

math.CO2014

A Note on Minimal zero-sum sequences over $Z$

Papa A. Sissokho

A zero-sum sequence over $Z$ is a sequence with terms in $Z$ that sum to $0$ . It is called minimal if it does not contain a proper zero-sum subsequence. Conside…

math.CO2012

A zero-sum theorem over Z

Marvin Sahs, Papa Sissokho, Jordan Torf

A zero-sum sequence of integers is a sequence of nonzero terms that sum to 0. Let $k > 0$ be an integer and let $[- k, k]$ denote the set of all nonzero integers between $- k$ and $k$ .…

math.CO2011

Extremal sizes of subspace partitions

Olof Heden, Juliane Lehmann, Esmeralda Nastase +1

A subspace partition $Π$ of $V = V (n, q)$ is a collection of subspaces of $V$ such that each 1-dimensional subspace of $V$ is in exactly one subspace of $Π$ . The size of $Π$ is the nu…

math.CO2011

On the existence of a (2,3)-spread in V(7,2)

Olof Heden, Papa A. Sissokho

An $(s, t)$ -spread in a finite vector space $V = V (n, q)$ is a collection $F$ of $t$ -dimensional subspaces of $V$ with the property that every $s$ -dimensional subspace of $V$ …

A note on Tight Irreducible Affine Spreads

Geometry of the minimal solutions of a linear Diophantine Equation

The maximum size of a partial spread II: Upper bounds

The structure of the minimum size supertail of a subspace partition

The maximum size of a partial spread in a finite projective space

Avoiding zero-sum subsequences of prescribed length over the integers

Level Matrices

A Note on Minimal zero-sum sequences over Z

A zero-sum theorem over Z

Extremal sizes of subspace partitions

On the existence of a (2,3)-spread in V(7,2)

A Note on Minimal zero-sum sequences over $Z$