409 search results - page 5 / 82 » Odd Crossing Number and Crossing Number Are Not the Same |
ESA
2008
Springer
13 years 9 months ago
2008
Springer
We consider a planning problem that generalizes Alcuin's river crossing problem (also known as: The wolf, goat, and cabbage puzzle) to scenarios with arbitrary conflict graph...
JGT
2010
13 years 5 months ago
2010
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
GD
2009
Springer
13 years 10 months ago
2009
Springer
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
ENDM
2007
13 years 7 months ago
2007
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
JGT
2007
13 years 7 months ago
2007
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...