270 search results - page 7 / 54 » Diameter bounds for planar graphs |
WADS
2005
Springer
14 years 27 days ago
2005
Springer
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
COMBINATORICS
2006
13 years 7 months ago
2006
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
DM
2010
13 years 7 months ago
2010
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
SAC
2003
ACM
14 years 20 days ago
2003
ACM
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
SIAMDM
2000
13 years 7 months ago
2000
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...