11 search results - page 1 / 3 » Characterizing 3-connected planar graphs and graphic matroid... |
JGT
2010
13 years 5 months ago
2010
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
DM
2006
13 years 7 months ago
2006
Given a 3-connected biased graph with three node-disjoint unbalanced circles, at most one of which is a loop, we describe how the bias matroid of is uniquely represented by .
MST
2011
12 years 10 months ago
2011
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
CORR
2007
Springer
13 years 7 months ago
2007
Springer
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
GD
2004
Springer
14 years 22 days ago
2004
Springer
We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n − 2 − ∆) × (n − 2 − ∆). The parameter ∆ ≥ 0 depen...