17 search results - page 2 / 4 » On Paths in a Complete Bipartite Geometric Graph |
DM
2008
13 years 5 months ago
2008
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
DAM
2010
13 years 5 months ago
2010
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
APPROX
2009
Springer
14 years 1 days ago
2009
Springer
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
WADS
2007
Springer
13 years 11 months ago
2007
Springer
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...