275 search results - page 1 / 55 » Bounding the Number of Edges in Permutation Graphs |
COMBINATORICS
2006
13 years 4 months ago
2006
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
GD
2005
Springer
13 years 10 months ago
2005
Springer
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one co...
SIAMDM
2010
12 years 11 months ago
2010
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
FAW
2009
Springer
13 years 11 months ago
2009
Springer
We give a linear-time algorithm for computing the edge search number of cographs, thereby proving that this problem can be solved in polynomial time on this graph class. With our ...
SIAMDM
2010
13 years 2 months ago
2010
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...