Displaying similar documents to “On Sparse Spanners of Weighted Graphs.”

Remarks on the existence of uniquely partitionable planar graphs

Mieczysław Borowiecki, Peter Mihók, Zsolt Tuza, M. Voigt (1999)

Discussiones Mathematicae Graph Theory

Similarity:

We consider the problem of the existence of uniquely partitionable planar graphs. We survey some recent results and we prove the nonexistence of uniquely (𝓓₁,𝓓₁)-partitionable planar graphs with respect to the property 𝓓₁ "to be a forest".

Dominant-matching graphs

Igor' E. Zverovich, Olga I. Zverovich (2004)

Discussiones Mathematicae Graph Theory

Similarity:

We introduce a new hereditary class of graphs, the dominant-matching graphs, and we characterize it in terms of forbidden induced subgraphs.