planar graph

(redirected from Planar graphs)

planar graph

[′plā·nər ‚graf]
(mathematics)
A graph that can be drawn in a plane without any lines crossing.
References in periodicals archive ?
Saito, A linear 5-coloring algorithm of planar graphs, J.
We give the general form of the Tutte polynomial of a family of positive-signed connected planar graphs.
The collaborative effort of six editors, "Current Developments in Mathematics: 2011" is comprised of three major articles focusing on advanced mathematics: 'The Laplacian on planar graphs and graphs on surfaces' by R.
In the first part, he explains trees and bipartite graphs, chordal graphs, planar graphs, graph coloring, and traversals and flows.
We will combine planar graphs of the solids with their duals in a special way to obtain our PELARGONIUMS.
Yannakakis has investigated the book embedding problem for planar graphs, showing that four pages are sufficient to book embed a planar graph [12].
Covering planar graphs with forests, Journal of Combinatorial Theory, Series B, Vol.
Riskin asked if his result holds for arbitrary 3-connected planar graphs.
We show that the maximum nonoverlapping dense blocks problem is NP-complete by a reduction from the maximum independent set problem on cubic planar graphs.
The max-flow and min-cut are also known to be equal or near-equal for certain special types of flows in planar graphs (see Frank [1990] and Schrijver [1990] for a survey of such results).
Conversely -- as he notes in a paper to be published in the proceedings of the Second International Meeting of Origami Science and Scientific Origami, held last November in Otsu, Japan -- origami has served as a source of ideas for his own mathematical research on planar graphs.