33 search results - page 1 / 7 » Minimum cycle bases of graphs on surfaces |
DM
2007
13 years 4 months ago
2007
In this paper we study the cycle base structures of embedded graphs on surfaces. We first give a sufficient and necessary condition for a set of facial cycles to be contained in ...
STACS
2007
Springer
13 years 10 months ago
2007
Springer
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 ...
COMBINATORICS
2000
13 years 4 months ago
2000
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
COMPGEOM
2009
ACM
13 years 11 months ago
2009
ACM
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
SMI
2006
IEEE
13 years 10 months ago
2006
IEEE
We present a novel approach for discretely optimizing contours on the surface of a triangle mesh. This is achieved through the use of a minimum ratio cycle (MRC) algorithm, where ...