The plane‐width of graphs

M Kamiński, P Medvedev, M Milanič - Journal of graph theory, 2011 - Wiley Online Library
Map the vertices of a graph to (not necessarily distinct) points of the plane so that two
adjacent vertices are mapped at least unit distance apart. The plane‐width of a graph is the …

Predstavitve grafov z enotsko razdaljo

B Horvat - 2009 - eprints.fri.uni-lj.si
The doctoral thesis describes problems concerning graphs that can be represented in the
Euclidean plane (or k-space) in such a way, that vertices are represented as points in the …

Dilation coefficient, plane-width, and resolution coefficient of graphs

M Milanič, T Pisanski, A Žitnik - Monatshefte für Mathematik, 2013 - Springer
In this paper we investigate the relations between three graph invariants that are related to
the 'compactness' of graph drawing in the plane: the dilation coefficient, defined as the …

A note on dilation coefficient, plane-width, and resolution coefficient of graphs

M Milanic, T Pisanski, A Zitnik - arXiv preprint arXiv:1001.0330, 2010 - arxiv.org
In this note we study and compare three graph invariants related to the'compactness' of
graph drawing in the plane: the dilation coefficient, defined as the smallest possible quotient …