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» Counting Plane Graphs: Flippability and its Applications
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COMPGEOM
2010
ACM
15 years 11 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
PATMOS
2004
Springer
15 years 11 months ago
An Efficient Low-Degree RMST Algorithm for VLSI/ULSI Physical Design
Motivated by very/ultra large scale integrated circuit (VLSI/ULSI) physical design applications, we study the construction of rectilinear minimum spanning tree (RMST) with its maxi...
Yin Wang, Xianlong Hong, Tong Jing, Yang Yang, Xia...
ALGOSENSORS
2004
Springer
15 years 11 months ago
On a Conjecture Related to Geometric Routing
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 ...
Christos H. Papadimitriou, David Ratajczak
STACS
2007
Springer
16 years 1 days ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
WADS
2009
Springer
243views Algorithms» more  WADS 2009»
16 years 15 days ago
Resolving Loads with Positive Interior Stresses
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
Günter Rote, André Schulz