Name
Abstract | ||
|---|---|---|
We define and study embeddings of cycles infinite affine and projective planes. We show that for all k, 3 <= k <= q(2), 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 <= q(2) + q + 1, a k-cycle can be embedded in any projective plane of order q. |
Year | Venue | Keywords |
|---|---|---|
2013 | ELECTRONIC JOURNAL OF COMBINATORICS | Graph embeddings,finite affine plane,finite projective plane,cycle,hamiltonian cycle,pancyclic graph |
Field | DocType | Volume |
Real projective plane,Blocking set,Combinatorics,Affine plane (incidence geometry),Affine plane,Projective plane,Duality (projective geometry),Finite geometry,Mathematics,Projective space | Journal | 20.0 |
Issue | ISSN | Citations |
3.0 | 1077-8926 | 3 |
PageRank | References | Authors |
0.80 | 7 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Felix Lazebnik | 1 | 353 | 49.26 |
| Keith E. Mellinger | 2 | 86 | 13.04 |
| Oscar Vega | 3 | 3 | 2.15 |