133 search results - page 2 / 27 » Subgraphs with restricted degrees of their vertices in plana... |
COMBINATORICS
2007
13 years 5 months ago
2007
Let G be a simple balanced bipartite graph on 2n vertices, δ = δ(G)/n, and ρ0 = δ+ √ 2δ−1 2 . If δ ≥ 1/2 then G has a ρ0n -regular spanning subgraph. The statement is...
JCT
2007
13 years 5 months ago
2007
An induced subgraph is called homogeneous if it is either a clique or an independent set. Let hom(G) denote the size of the largest homogeneous subgraph of a graph G. In this shor...
EJC
2010
13 years 5 months ago
2010
We establish relations between the bandwidth and the treewidth of bounded degree graphs G, and relate these parameters to the size of a separator of G as well as the size of an exp...
RSA
2010
13 years 3 months ago
2010
We show that the number of vertices of a given degree k in several kinds of series-parallel labelled graphs of size n satisfy a central limit theorem with mean and variance proport...
ICALP
2009
Springer
14 years 5 months ago
2009
Springer
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...