45 search results - page 7 / 9 » Plane embeddings of planar graph metrics |
ISSAC
2007
Springer
14 years 1 months ago
2007
Springer
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
WG
2010
Springer
13 years 5 months ago
2010
Springer
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
SIAMDM
2010
13 years 2 months ago
2010
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
ALGOSENSORS
2004
Springer
14 years 27 days ago
2004
Springer
We conjecture that any planar 3-connected graph can be embedded in the plane in such a way that for any nodes s and t, there is a path from s to t such that the Euclidean distance ...
JGT
2007
13 years 7 months ago
2007
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...