# Coronas and Domination Subdivision Number of a Graph

Bulletin of the Malaysian Mathematical Sciences Society, Sep 2016

In this paper, for a graph G and a family of partitions $\mathcal {P}$ of vertex neighborhoods of G, we define the general corona $G \circ \mathcal {P}$ of G. Among several properties of this new operation, we focus on application general coronas to a new kind of characterization of trees with the domination subdivision number equal to 3.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2Fs40840-016-0417-0.pdf

M. Dettlaff, M. Lemańska, J. Topp, P. Żyliński. Coronas and Domination Subdivision Number of a Graph, Bulletin of the Malaysian Mathematical Sciences Society, 2016, 1-8, DOI: 10.1007/s40840-016-0417-0