226 search results - page 10 / 46 » Lower bounds on the obstacle number of graphs |
WAOA
2007
Springer
14 years 1 months ago
2007
Springer
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
SIAMDM
2000
13 years 7 months ago
2000
We show that the size of the smallest depth-two N-superconcentrator is (N log2 N/ log log N). Before this work, optimal bounds were known for all depths except two. For the upper b...
SIAMDM
2010
13 years 2 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...
IAJIT
2011
12 years 11 months ago
2011
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
COMBINATORICS
2006
13 years 7 months ago
2006
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...