Add to ORKGWe define and study embeddings of cycles in finite affine and projective planes. We show that for all k, 3 ≤ k ≤ q2 , a k-cycle can be embedded in any affine plane of order q. We also prove a similar result for finite projective planes: for all k, 3 ≤ k ≤ q2 + q +1 , a k-cycle can be embedded in any projective plane of order q
Let pi = piq denote a finite projective plane of order q, and let G = Levi(pi) be the bipartite poin...
Let $\textbf{k}$ and $\textbf{K}$ be commutative fields, and $l,m$ integers with $l ≥ 1, m ≥ 2$. Sup...
A Steiner triple system S is embeddable in a finite Desarguesian projective plane P if there exists ...
We define and study embeddings of cycles in finite affine and projective planes. We show that for al...
We define and study embeddings of cycles in finite affine and projective planes. We show that for al...
The existence of a primitive element of $GF(q)$ with certain properties is used to prove that all cy...
We study embeddings of graphs in finite projective planes, and present related results for some fami...
This paper formalizes the method of generating projective planes using difference sets. It establis...
The Prime Power Conjecture for Finite Projective Planes motivates the research that we present here....
Let π = πq denote a finite projective plane of order q, and let G = Levi(π) be the bipartite point-l...
© 2017, Springer International Publishing. In Keppens (Innov. Incidence Geom. 15: 119–139, 2017) we ...
We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d...
44 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.The Prime Power Conjecture for...
AbstractIn 1930 Kuratowski proved that a graph does not embed in the real plane R2 if and only if it...
Let $\pi = \pi _q$ denote a finite projective plane of order $q$, and let $G = Levi (\pi)$ be the b...
Let pi = piq denote a finite projective plane of order q, and let G = Levi(pi) be the bipartite poin...
Let $\textbf{k}$ and $\textbf{K}$ be commutative fields, and $l,m$ integers with $l ≥ 1, m ≥ 2$. Sup...
A Steiner triple system S is embeddable in a finite Desarguesian projective plane P if there exists ...
We define and study embeddings of cycles in finite affine and projective planes. We show that for al...
We define and study embeddings of cycles in finite affine and projective planes. We show that for al...
The existence of a primitive element of $GF(q)$ with certain properties is used to prove that all cy...
We study embeddings of graphs in finite projective planes, and present related results for some fami...
This paper formalizes the method of generating projective planes using difference sets. It establis...
The Prime Power Conjecture for Finite Projective Planes motivates the research that we present here....
Let π = πq denote a finite projective plane of order q, and let G = Levi(π) be the bipartite point-l...
© 2017, Springer International Publishing. In Keppens (Innov. Incidence Geom. 15: 119–139, 2017) we ...
We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d...
44 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.The Prime Power Conjecture for...
AbstractIn 1930 Kuratowski proved that a graph does not embed in the real plane R2 if and only if it...
Let $\pi = \pi _q$ denote a finite projective plane of order $q$, and let $G = Levi (\pi)$ be the b...
Let pi = piq denote a finite projective plane of order q, and let G = Levi(pi) be the bipartite poin...
Let $\textbf{k}$ and $\textbf{K}$ be commutative fields, and $l,m$ integers with $l ≥ 1, m ≥ 2$. Sup...
A Steiner triple system S is embeddable in a finite Desarguesian projective plane P if there exists ...