By exhibiting a certain invariant, we prove that the cycle space of the “distance<2” graph in the plane is not generated by the triangles inscribed in unit circles. This solves a problem of Lovász in the negative.
This is a preview of subscription content, access via your institution.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
L. Lovász, Research problem,Discrete Mathematics 41 (1982). 111–112.
About this article
Cite this article
Křìž, I. A cycle-space invariant of the <2-distance-graph in the plane. Combinatorica 9, 103–105 (1989). https://doi.org/10.1007/BF02122690
AMS subject classification (1980)
- 05 B 40
- 05 B 45
- 05 C 38