Cited By
View all- Bentz C(2009)Disjoint paths in sparse graphsDiscrete Applied Mathematics10.1016/j.dam.2009.03.009157:17(3558-3568)Online publication date: 1-Oct-2009
MacGillivary and Seyffarth [G. MacGillivray, K. Seyffarth, Domination numbers of planar graphs, J. Graph Theory 22 (1996) 213-229] proved that planar graphs of diameter two have domination number at most three. Goddard and Henning [W. Goddard, M.A. ...
Let fk(Δ) be the maximum number of vertices in a planar graph with diameter k and maximum degree Δ. Let gk(Δ) be the maximum number of vertices in a maximal planar graph with diameter k and maximum degree Δ. Seyffarth has shown that g2=⌊3Δ/2+1⌋ for Δ ≥ ...
The nonplanar vertex deletion or vertex deletion vd(G) of a graph G is the smallest nonnegative integer k, such that the removal of k vertices from G produces a planar graph G'. In this case G' is said to be a maximum planar induced subgraph of G. We ...
Elsevier Science Publishers B. V.
Netherlands
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in