The existence of a primitive element of $GF(q)$ with certain properties is used to prove that all cycles that could theoretically be embedded in $AG(2,q)$ and $PG(2,q)$ can, in fact, be embedded there (i.e. these planes are `pancyclic'). We also study embeddings of wheel and gear graphs in arbitrary projective planes
AbstractThe flag geometry Γ=(P, L, I) of a finite projective plane Π of order s is the generalized h...
AbstractThe flag geometry Γ=(P, L, I) of a finite projective plane Π of order s is the generalized h...
This paper formalizes the method of generating projective planes using difference sets. It establis...
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...
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...
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 π = πq denote a finite projective plane of order q, and let G = Levi(π) be the bipartite point-l...
AbstractLinear spaces are investigated using the general theory of “Rings of Geometries I.” By defin...
AbstractA characterization of all cubic finite graphs that do not embed in the real projective plane...
We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d...
AbstractIn an earlier paper [3], we associated to every projective plane X of order n a certain n3-d...
AbstractIn this paper, we characterize those projective-plane 3-connected graphs which admit re-embe...
AbstractThe flag geometry Γ=(P, L, I) of a finite projective plane Π of order s is the generalized h...
AbstractThe flag geometry Γ=(P, L, I) of a finite projective plane Π of order s is the generalized h...
This paper formalizes the method of generating projective planes using difference sets. It establis...
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...
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...
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 π = πq denote a finite projective plane of order q, and let G = Levi(π) be the bipartite point-l...
AbstractLinear spaces are investigated using the general theory of “Rings of Geometries I.” By defin...
AbstractA characterization of all cubic finite graphs that do not embed in the real projective plane...
We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d...
AbstractIn an earlier paper [3], we associated to every projective plane X of order n a certain n3-d...
AbstractIn this paper, we characterize those projective-plane 3-connected graphs which admit re-embe...
AbstractThe flag geometry Γ=(P, L, I) of a finite projective plane Π of order s is the generalized h...
AbstractThe flag geometry Γ=(P, L, I) of a finite projective plane Π of order s is the generalized h...
This paper formalizes the method of generating projective planes using difference sets. It establis...
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