226 search results - page 3 / 46 » Lower bounds on the obstacle number of graphs |
JGAA
1998
13 years 7 months ago
1998
An orthogonal drawing of a graph is an embedding of the graph in the two-dimensional grid such that edges are routed along grid-lines. In this paper we explore lower bounds for or...
ALGORITHMICA
2011
13 years 2 months ago
2011
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
CDC
2010
IEEE
13 years 2 months ago
2010
IEEE
We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose ...
SPAA
2004
ACM
14 years 1 months ago
2004
ACM
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
DM
2008
13 years 7 months ago
2008
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...