388 search results - page 45 / 78 » On the Number of Cycles in Planar Graphs |
EJC
2010
13 years 8 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...
COMBINATORICA
2010
13 years 2 months ago
2010
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
SIAMDM
2010
13 years 2 months ago
2010
The following problem was introduced by Marcin Krzywkowski as a generalization of a problem of Todd Ebert. After initially coordinating a strategy, n players each occupy a differe...
CJCDGCGT
2005
Springer
13 years 9 months ago
2005
Springer
The vertex arboricity va(G) of a graph G is the minimum number of subsets into which the vertex set V (G) can be partitioned so that each subset induces an acyclic subgraph. The f...
COMBINATORICA
2008
13 years 8 months ago
2008
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...